Tootfinder

$\pi_1$-injective bounding and application to 3- and 4-manifolds
Jianfeng Lin, Zhongzi Wang
https://arxiv.org/abs/2506.08847 https://…

$π_1$-injective bounding and application to 3- and 4-manifolds
Suppose a closed oriented $n$-manifold $M$ bounds an oriented $(n+1)$-manifold.It is known that $M$ $π_1$-injectively bounds an oriented $(n+1)$-manifold $W$. We prove that $π_1(W)$ can be residually finite if $π_1(M)$ is, and $π_1(W)$ can be finite if $π_1(M)$ is. In particular, each closed 3-manifold $M$ $π_1$-injectively bounds a 4-manifold with residually finite $π_1$, and bounds a 4-manifold with finite $π_1$ if $π_1(M)$ is finite. Applications to 3- and 4-manifolds are given: (…

Mallows Model with Learned Distance Metrics: Sampling and Maximum Likelihood Estimation
Yeganeh Alimohammadi, Kiana Asgari
https://arxiv.org/abs/2507.08108

Mallows Model with Learned Distance Metrics: Sampling and Maximum Likelihood Estimation
\textit{Mallows model} is a widely-used probabilistic framework for learning from ranking data, with applications ranging from recommendation systems and voting to aligning language models with human preferences~\cite{chen2024mallows, kleinberg2021algorithmic, rafailov2024direct}. Under this model, observed rankings are noisy perturbations of a central ranking $σ$, with likelihood decaying exponentially in distance from $σ$, i.e, $P (π) \propto \exp\big(-β\cdot d(π, σ)\big),$ where $β> 0…

This https://arxiv.org/abs/2506.05055 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepe…

Study of $f_1(1420)$ and $η(1405)$ in the decay $J/ψ\to γπ^{0}π^{0}π^{0}$
A partial-wave analysis is performed on the decay $J/ψ\toγπ^{0}π^{0}π^{0}$ within the $π^{0}π^{0}π^{0}$ invariant-mass region below 1.6 GeV$/c^{2}$, using $(10.09~\pm~0.04)\times10^{9} ~J/ψ$ events collected with the BESIII detector. Significant isospin-violating decays of $η(1405)$ and $f_1(1420)$ into $f_0(980)π^{0}$ are observed. For the first time, three axial-vectors, $f_1(1285)$, $f_1(1420)$ and $f_1(1510)$, are observed to decay into $π^{0}π^{0}π^{0}$. The product branching…

Sperner's colorings of hypergraphs arising from edgewise triangulations
Du\v{s}ko Joji\'c, Ognjen Papaz
https://arxiv.org/abs/2506.07201 https://…

Sperner's colorings of hypergraphs arising from edgewise triangulations
We investigate Sperner's labelings of $H^π_{k,q}$, the hypergraph whose hyperedges are facets of the edgewise triangulation of a $(k-1)$-simplex defined by a permutation $π\in \mathbb{S}_{k-1}$. Mirzakhani and Vondr\' ak showed that the greedy coloring of $H^{\mathrm{Id}}_{k,q}$ produces the maximal number of monochromatic hyperedges. The line graph of $H_{k,q}^π$ is built from the copies of the graph $G_π$ that represents which subsets of consecutive numbers of $[k-1]$ are contiguous in $�…

Studies on the $\pi^ p$ elastic scattering via the von Neumann entropy
Seung-il Nam
https://arxiv.org/abs/2506.10672 https://arxiv.o…

Studies on the $π^+ p$ elastic scattering via the von Neumann entropy
We study the $π^+ p$ elastic scattering process using an effective Lagrangian approach that incorporates the $s$-, $u$-, and $t$-channel amplitudes, including $Δ^{++,0}(1232)$, neutron, and $ρ^0$ contributions. By constructing the spin-density matrices (SDMs) from helicity amplitudes, we derive the von Neumann (entanglement) entropy associated with the spin degrees of freedom of the initial and final state particles. We compute the entropy by performing a partial trace over the spin subsyste…

Accelerating quantum adiabatic evolution with $\pi$-pulse sequences
Tonghao Xing, Jiang Zhang, Guilu Long
https://arxiv.org/abs/2506.09320 https://

Accelerating quantum adiabatic evolution with $π$-pulse sequences
In quantum information processing, the development of fast and robust control schemes remains a central challenge. Although quantum adiabatic evolution is inherently robust against control errors, it typically demands long evolution times. In this work, we propose to achieve rapid adiabatic evolution, in which nonadiabatic transitions induced by fast changes in the system Hamiltonian are mitigated by flipping the nonadiabatic transition matrix using $π$ pulses. This enables a faster realizatio…

The number of primes not in a numerical semigroup
Yong-Gao Chen, Hui Zhu
https://arxiv.org/abs/2506.03625 https://arxiv.org/pdf/2506.…

The number of primes not in a numerical semigroup
For two coprime positive integers $a,b$, let $π^* (a, b)$ be the number of primes that cannot be represented as $au+bv$, where $u,v$ are nonnegative integers. In this paper, we prove that $π^* (a, b)\ge 0.014 π(ab-a-b)$ and pose following conjecture: $π^* (a, b)\ge \frac 12 π(ab-a-b)$, where $π(x)$ denotes the number of primes not exceeding $x$. This conjecture is confirmed for $1\le a\le 8$.

K-Exit for OD-Characterization of the finite Groups
Majid Akbari
https://arxiv.org/abs/2506.09241 https://arxiv.org/pdf/2506.09241

K-Exit for OD-Characterization of the finite Groups
Suppose G is a finite group, and K is a normal solvable subgroup of G. In this paper, we present a powerful method which is called K-Exit. Using this method, we find some members of π(G) that are not members of π(K) and for this purpose, we introduce the tables of K-Exit. This method can be applied to OD-Characterization of the finite Groups

Singular varieties and infinitesimal non-commutative Witt vectors
Ph\`ung H\^o Hai, Jo\~ao Pedro dos Santos, {\DJ}\`ao V\u{a}n Thinh
https://arxiv.org/abs/2507.06768

Singular varieties and infinitesimal non-commutative Witt vectors
Given a projective variety $X$ over an algebraically closed field $k$, M. V. Nori introduced in 1976 a group scheme $π(X)$ which accounts for principal bundles $P\to X$ with finite structure, obtaining in this way an amplification the etale fundamental group. One drawback of this theory is that it is quite difficult to arrive at an explicit description of $π(X)$, whenever it does not vanish altogether. To wit, there are no known non-trivial examples in the literature where $π(X)$ is local, o…

Measurement of the CP asymmetry in $D^ \to \pi^ \pi^0$ decays at Belle II
Collaboration, Adachi, Aggarwal, Ahmed, Aihara, Akopov, Alghamdi, Alhakami, Aloisio, Amos, Angelsmark, Ky, Antonioli, Asner, Atmacan, Aushev, Aversano, Ayad, Babu, Bae, Baghel, Bambade, Banerjee, Bansal, Barrett, Bartl, Baudot, Baur, Beaubien, Becherer, Becker, Bennett, Bernlochner, Bertacchi, Bertemes, Bertholet, Bessner, Bettarini, Bhardwaj, Bhuyan, Bianchi, Biswas, Bobrov, Bodrov, Bondar, Bonvicini, Borah, B…

Measurement of the CP asymmetry in $D^+ \to π^+ π^0$ decays at Belle II
We measure the CP asymmetry in $D^+ \to π^+ π^0$ decays reconstructed in $e^+ e^-$ collisions at the Belle II experiment using a data set corresponding to an integrated luminosity of 428 fb$^{-1}$. A control sample of $D^+ \to π^+ K_{S}$ decays is used to correct for detection and production asymmetries. The result, $A_{CP}(D^+ \to π^+π^0) =(-1.8 \pm 0.9 \pm 0.1)\%$, where the first uncertainty is statistical and the second systematic, is the most precise determination to date. It agrees w…

An Improved Bound for Plane Covering Paths
Hugo A. Akitaya, Greg Aloupis, Ahmad Biniaz, Prosenjit Bose, Jean-Lou De Carufel, Cyril Gavoille, John Iacono, Linda Kleist, Michiel Smid, Diane Souvaine, Leonidas Theocharous
https://arxiv.org/abs/2507.06477

An Improved Bound for Plane Covering Paths
A covering path for a finite set $P$ of points in the plane is a polygonal path such that every point of $P$ lies on a segment of the path. The vertices of the path need not be at points of $P$. A covering path is plane if its segments do not cross each other. Let $π(n)$ be the minimum number such that every set of $n$ points in the plane admits a plane covering path with at most $π(n)$ segments. We prove that $π(n)\le \lceil6n/7\rceil$. This improves the previous best-known upper bound of $…

Hadron-Hadron Interactions from Lattice QCD: Theory meets Experiments
Tetsuo Hatsuda
https://arxiv.org/abs/2507.08359 https://arxiv.o…

Hadron-Hadron Interactions from Lattice QCD: Theory meets Experiments
We summarize recent developments in the study of hadron-hadron interactions using lattice QCD near the physical pion mass ($m_π \simeq 146$ MeV), based on the HAL QCD method and its connection to experimental data. In particular, we focus on several key interaction channels shown below. Also, we examine the two-pion exchange (TPE) mechanism, which governs the long-range behavior of interactions between flavor-singlet hadrons, as well as between nucleons and flavor-singlet hadrons.

Sequential Monte Carlo approximations of Wasserstein--Fisher--Rao gradient flows
Francesca R. Crucinio, Sahani Pathiraja
https://arxiv.org/abs/2506.05905 h…

Sequential Monte Carlo approximations of Wasserstein--Fisher--Rao gradient flows
We consider the problem of sampling from a probability distribution $π$. It is well known that this can be written as an optimisation problem over the space of probability distribution in which we aim to minimise the Kullback--Leibler divergence from $π$. We consider several partial differential equations (PDEs) whose solution is a minimiser of the Kullback--Leibler divergence from $π$ and connect them to well-known Monte Carlo algorithms. We focus in particular on PDEs obtained by consideri…

Exact Tur\'{a}n densities in triple systems
Nannan Chen, Yuzhen Qi, Caihong Yang, Hongbin Zhao
https://arxiv.org/abs/2507.07360 https://

Exact Turán densities in triple systems
In this paper, we prove several new Turán density results for $3$-graphs. We show: $π(C_4^3, \mathrm{complement\ of\ } F_5) = 2\sqrt{3} - 3$, $π(F_{3,2}, C_5^{3-}) = \frac{2}{9}$, and $π(F_{3,2}, \mathrm{induced\ complement\ of\ } F_{3,2}) = \frac{3}{8}$. The first result confirms the conjecture of Shi~[On Turán denisties of small triple graphs, European J. Combin. 52 (2016) 95-102]. The other results give several special non-principal family posed by Mubayi and Rödl~[On the Turán number…

Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
Jiang Zhang, Tonghao Xing, Guilu Long
https://arxiv.org/abs/2506.09326 https://

Speeding up adiabatic holonomic quantum gates via $π$-pulse modulation
Holonomic quantum computation (HQC) offers an inherently robust approach to quantum gate implementation by exploiting quantum holonomies. While adiabatic HQC benefits from robustness against certain control errors, its long runtime limits practical utility due to increased exposure to environmental noise. Nonadiabatic HQC addresses this issue by enabling faster gate operations but compromises robustness. In this work, we propose a scheme for fast holonomic quantum gates based on the $π$-pulse …

Construction of Kondo Chains by Engineering Porphyrin {\pi}-Radicals on Au(111)
Yan Zhao, Kaiyue Jiang, Peng-Yi Liu, Ruoning Li, Jie Li, Xin Li, Xinchen Fang, Anjing Zhao, Yutong Zhu, Hongxiang Xu, Ting Chen, Dong Wang, Xiaodong Zhuang, Shimin Hou, Kai Wu, Song Gao, Qing-Feng Sun, Yajie Zhang, Yongfeng Wang
https://arxiv.org/abs…

Construction of Kondo Chains by Engineering Porphyrin π-Radicals on Au(111)
Quantum manipulation of molecular radical spins provides a crucial platform for exploring emergent phenomena in many-body systems. Here, we combine surface-confined synthesis with scanning tunneling microscopy (STM) tip-induced dehydrogenation to achieve atom-precise engineering of quasi-one-dimensional porphyrin-based Kondo chains (1-7 units) on Au(111). Key design innovations leverage large-sized porphyrins to suppress intrachain antiferromagnetic coupling, while ${Zn}^{2+}$ chelation at porp…

Combinatorial results for zero-divisors regarding right zero elements of order-preserving transformations
Emrah Korkmaz, Hayrullah Ay{\i}k
https://arxiv.org/abs/2507.04900

Combinatorial results for zero-divisors regarding right zero elements of order-preserving transformations
For any positive integer $n$, let $\mathcal{O}_{n}$ be the semigroup of all order-preserving full transformations on $X_{n}=\{1<\cdots

Measurement of the $ D^{0}\rightarrow K^{-}\pi^{ }e^{ }e^{-} $ branching fraction and search for $ D^{0}\rightarrow \pi^{ }\pi^{-}e^{ }e^{-} $ and $D^{0}\rightarrow K^{ }K^{-}e^{ }e^{-} $ decays at Belle
Belle, et al.
https://arxiv.org/abs/2507.05050

Measurement of the $ D^{0}\rightarrow K^{-}π^{+}e^{+}e^{-} $ branching fraction and search for $ D^{0}\rightarrow π^{+}π^{-}e^{+}e^{-} $ and $D^{0}\rightarrow K^{+}K^{-}e^{+}e^{-} $ decays at Belle
We present a study of the rare charm meson decays $ D^{0}\rightarrow K^{+}K^{-}e^{+}e^{-} $, $ π^{+}π^{-}e^{+}e^{-} $, and $ K^{-}π^{+}e^{+}e^{-} $ using a 942 fb$^{-1}$ data set collected by the Belle detector at the KEKB asymmetric-energy $ e^{+}e^{-} $ collider. We use $ D^{0} $ candidates identified by the charge of the pion in $ D^{*} \rightarrow D^{0} π$ decays and normalize the branching fractions to $ D^{0} \rightarrow K^{-}π^{+}π^{-}π^{+} $ decays. The branching fraction for dec…

A Concurrent Generalized Kropina Change
A. Soleiman, Ebtsam H. Taha
https://arxiv.org/abs/2506.06000 https://arxiv.org/pdf/2506.06000…

A Concurrent Generalized Kropina Change
This paper investigates a generalized Kropina metric featuring a specific $π$-form. Start with a Finsler manifold $(M,F)$ admits a concurrent $π$-vector field $\overlineφ$, then, examine the $ϕ$-concurrent generalized Kropina change defined by $\widehat{F}=\frac{F^{m+1}}{Φ^{m}}$, where $Φ$ represents the corresponding $1$-form. We investigate the fundamental geometric objects associated with $\widehat{F}$ in an intrinsic manner after adopting this modification and present an example of a …

New Types of Hydrogenlike matter Composed of Electron(s) and Meson(s)
Jun-Feng Wang, Zi-Yue Cui, Cheng-Qun Pang, Zhi-Feng Sun
https://arxiv.org/abs/2506.06983

New Types of Hydrogenlike matter Composed of Electron(s) and Meson(s)
In the present work, we predict the existence of new types of hydrogenlike matter, including hydrogenlike atoms ($π^+e^-$, $K^+e^-$, $D^+e^-$), hydrogenlike molecular ions ($π^+π^+e^-$, $K^+K^+e^-$, $D^+D^+e^-$) and hydrogenlike molecules ($π^+π^+e^-e^-$, $K^+K^+e^-e^-$, $D^+D^+e^-e^-$). By solving the Schrödinger equation, the binding energy of hydrogenlike atoms is obtained as $E_n=-\frac{1}{2n^2}$. For hydrogenlike molecular ions and molecules, the variational method is employed to cal…

This https://arxiv.org/abs/2505.19946 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Inverse Q-Learning Done Right: Offline Imitation Learning in $Q^π$-Realizable MDPs
We study the problem of offline imitation learning in Markov decision processes (MDPs), where the goal is to learn a well-performing policy given a dataset of state-action pairs generated by an expert policy. Complementing a recent line of work on this topic that assumes the expert belongs to a tractable class of known policies, we approach this problem from a new angle and leverage a different type of structural assumption about the environment. Specifically, for the class of linear $Q^π$-rea…

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
Adam Grzela, Katarzyna Mazowiecka
https://arxiv.org/abs/2506.05060

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
In 1998 T. Rivière proved that there exist infinitely many homotopy classes of $π_3(\mathbb S^2)$ having a minimizing 3-harmonic map. This result is especially surprising taking into account that in $π_3(\mathbb S^3)$ there are only three homotopy classes (corresponding to the degrees $\{-1,0,1\}$) in which a minimizer exists. We extend this theorem in the framework of fractional harmonic maps and prove that for $s\in(0,1)$ there exist infinitely many homotopy classes of $π_{3}(\mathbb S^…

This https://arxiv.org/abs/2312.02849 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Algorithms for mean-field variational inference via polyhedral optimization in the Wasserstein space
We develop a theory of finite-dimensional polyhedral subsets over the Wasserstein space and optimization of functionals over them via first-order methods. Our main application is to the problem of mean-field variational inference, which seeks to approximate a distribution $π$ over $\mathbb{R}^d$ by a product measure $π^\star$. When $π$ is strongly log-concave and log-smooth, we provide (1) approximation rates certifying that $π^\star$ is close to the minimizer $π^\star_\diamond$ of the KL …

Study of $f_1(1420)$ and $\eta(1405)$ in the decay $J/\psi \to \gamma \pi^{0}\pi^{0}\pi^{0}$
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.05055 …

Study of $f_1(1420)$ and $η(1405)$ in the decay $J/ψ\to γπ^{0}π^{0}π^{0}$
A partial-wave analysis is performed on the decay $J/ψ\toγπ^{0}π^{0}π^{0}$ within the $π^{0}π^{0}π^{0}$ invariant-mass region below 1.6 GeV$/c^{2}$, using $(10.09~\pm~0.04)\times10^{9} ~J/ψ$ events collected with the BESIII detector. Significant isospin-violating decays of $η(1405)$ and $f_1(1420)$ into $f_0(980)π^{0}$ are observed. For the first time, three axial-vectors, $f_1(1285)$, $f_1(1420)$ and $f_1(1510)$, are observed to decay into $π^{0}π^{0}π^{0}$. The product branching…

This https://arxiv.org/abs/2405.03536 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

Extensional and Non-extensional Functions as Processes
Following Milner's seminal paper, the representation of functions as processes has received considerable attention. For pure $λ$-calculus, the process representations yield (at best) non-extensional $λ$-theories (i.e., $β$ rule holds, whereas $η$ does not). In the paper, we study how to obtain extensional representations, and how to move between extensional and non-extensional representations. Using Internal $π$, $\mathrm{I}π$ (a subset of the $π$-calculus in which all outputs are boun…

This https://arxiv.org/abs/2412.01012 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime
We consider the optimal transportation problem on a globally hyperbolic spacetime for some cost function $c_2$, which corresponds to the optimal transportation problem on a complete Riemannian manifold where the cost function is the Riemannian distance squared. Building on insights from previous studies on the Riemannian and Lorentzian case, our main goal is to investigate the regularity of $π$-solutions (weak versions of Kantorovich potentials), from which we can conclude, in a classical way,…

On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds
Sylvain Courte, Noah Porcelli
https://arxiv.org/abs/2506.06110 https://…

On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds
Motivated by the strong nearby Lagrangian conjecture, we constrain the parametrised Whitehead torsion of a family of closed exact Lagrangian submanifolds in a cotangent bundle. We prove the parametrised Whitehead torsion admits a factorisation through simpler maps, in particular implying it is trivial on $π_0$, $π_1$, and that its image is divisible by the Euler characteristic. We provide concrete implications for the Lagrangian monodromy question in the case of a high dimensional torus. Th…

Neutrino oscillations and PMNS matrix in gauge-Higgs unification
Yutaka Hosotani
https://arxiv.org/abs/2507.08321 https://arxiv.org/p…

Neutrino oscillations and PMNS matrix in gauge-Higgs unification
In the $SO(5) \times U(1) \times SU(3)$ gauge-Higgs unification in the Randall-Sundrum (RS) warped space neutrino oscillations and the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix in the $W$ couplings originate from Majorana mass terms on the ultraviolet brane in the RS space. Tiny neutrino masses are generated by an inverse seesaw mechanism. The PMNS matrix in the normal ordering with $δ_{CP}=π$ naturally arises consistently with the NuFit-6.0 analysis of neutrino oscillation data.

Primes of the form $ax by$
Yong-Gao Chen, Hui Zhu
https://arxiv.org/abs/2506.03620 https://arxiv.org/pdf/2506.03620

Primes of the form $ax+by$
For two coprime positive integers $a,b$, let $T(a,b)=\{ ax+by : x,y\in \mathbb{Z}_{\ge 0} \} $ and let $s(a,b)=ab-a-b$. It is well known that all integers which are greater than $s(a,b)$ are in $T(a,b)$. Let $π(a, b)$ be the number of primes in $T(a,b)$ which are less than or equal to $s(a,b)$. It is easy to see that $π(2, 3)=0$ and $π(2, b)=1$ for all odd integers $b\ge 5$. In this paper, we prove that if $b>a\ge 3$ with $\gcd (a, b)=1$, then $π(a, b)>0.005 s(a,b)/\log s(a,b)$. We conjectu…

Parallel computations for Metropolis Markov chains with Picard maps
Sebastiano Grazzi, Giacomo Zanella
https://arxiv.org/abs/2506.09762 https://

Parallel computations for Metropolis Markov chains with Picard maps
We develop parallel algorithms for simulating zeroth-order (aka gradient-free) Metropolis Markov chains based on the Picard map. For Random Walk Metropolis Markov chains targeting log-concave distributions $π$ on $\mathbb{R}^d$, our algorithm generates samples close to $π$ in $\mathcal{O}(\sqrt{d})$ parallel iterations with $\mathcal{O}(\sqrt{d})$ processors, therefore speeding up the convergence of the corresponding sequential implementation by a factor $\sqrt{d}$. Furthermore, a modificatio…

Measurement-Induced Temporal Geometry
James C. Hateley
https://arxiv.org/abs/2507.04514 https://arxiv.org/pdf/2507.04514

Measurement-Induced Temporal Geometry
We propose a unified theoretical framework, Measurement-Induced Temporal Geometry (MTG), in which time, causality, and spacetime geometry emerge from quantum measurement acting on a fiber-valued internal time field. Each spacetime point supports a local degree of freedom $τ$, modeled as a smooth section of a fiber bundle $π: E \to M$, with projection events $μ[τ]$ generating classical temporal flow. Quantum coherence and entanglement are encoded in the curvature $F = \nabla^2$ of a connecti…

This https://arxiv.org/abs/2410.08902 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Residual finiteness of some automorphism groups of high dimensional manifolds
We show that for a smooth, closed 2-connected manifold $M$ of dimension $d \geq 6$, the topological mapping class group $π_0 \mathrm{Homeo}(M)$ is residually finite, in contrast to the situation for the smooth mapping class group $π_0 \mathrm{Diff}(M)$. Combined with a result of Sullivan, this implies that $π_0 \mathrm{Homeo}(M)$ is an arithmetic group. The proof uses embedding calculus, and is of independent interest: we show that the $T_k$-mapping class group, $π_0 T_k \mathrm{Diff}(M)$, …

Long-range electrical conductivity in non-$\pi$-conjugated organic molecular materials
H. Mager, A. A. Butkevich, S. Klubertz, S. V. Haridas, O. Shyshov, V. C. Wakchaure, J. Borstelmann, I. Michalsky, M. Garc\'ia-Iglesias, V. Rodr\'iguez, D. Gonz\'alez-Rodr\'iguez, A. R. A. Palmans, M. Kivala, M. von Delius, M. Kemerink
https://

Long-range electrical conductivity in non-$π$-conjugated organic molecular materials
Electronic conductivity in organic materials is well-established. Moreover, semiconductive or metallic behavior in (quasi) 0-, 1-, 2- and 3-dimensional carbon-based materials has been demonstrated and understood and is nowadays widely applied in commercial devices. Despite the large structural variety, these materials commonly have an extended $π$-system, formed by sp2-hybridized carbon atoms, which is responsible for the conductivity. Here, we present a class of organic molecular materials th…

Analytic Uniqueness of Ball Volume Interpolation: Categorical Invariance and Universal Characterization
Andreu Ballus Santacana
https://arxiv.org/abs/2506.06885

Analytic Uniqueness of Ball Volume Interpolation: Categorical Invariance and Universal Characterization
We show that the classical volume formula for the unit $x$-ball, \[ V_x = \frac{π^{x/2}}{Γ(x/2+1)}, \] can be characterized as the \emph{unique} analytic continuation of Haar measure normalization and unit ball volumes for $\mathrm{O}(n)$, under principles of categorical invariance and normalization at integer dimensions. We generalize this result to the unitary and symplectic cases, formalize invariance using categorical language, and construct explicit categorical examples with functorial d…

Decays $f_1 \to a_0 \pi,\pi \pi \pi(\eta)$ and $f_1 \to K K \pi$ in the chiral $U(3) \times U(3)$ quark NJL model
M. K. Volkov, A. A. Pivovarov, K. Nurlan
https://arxiv.org/abs/2506.07065

Decays $f_1 \to a_0 π,πππ(η)$ and $f_1 \to K K π$ in the chiral $U(3) \times U(3)$ quark NJL model
The branching fractions of the axial vector meson decays $f_1 \to a_0 π,ππη$, $f_1 \to ρπ,πππ$ and $f_1 \to KKπ$ are calculated in the standard $U(3) \times U(3)$ quark NJL model. The intermediate channels with the states $a_0(980)π$ and $f_0(500)η$ are taken into account in the decay $f_1 \to ππη$. In the case of the scalar mesons, the $\bar{q}q$ representation as a chiral symmetric partners of the pseudoscalar mesons is used. It is shown that the decays $f_1 \to ρπ$ and $f_1 …

Search for the charmonium weak decays $J/\psi\to D_{s}^{-}\rho^{ } c.c.$ and $J/\psi\to D_{s}^{-}\pi^{ } c.c.$
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.09386

Search for the charmonium weak decays $J/ψ\to D_{s}^{-}ρ^{+}+c.c.$ and $J/ψ\to D_{s}^{-}π^{+}+c.c.$
Based on $(10087\pm44)\times 10^6$ $J/ψ$ events recorded with the BESIII detector, we search for the rare charmonium weak decays $J/ψ\to D_{s}^{-}ρ^{+}+c.c.$ and $J/ψ\to D_{s}^{-}π^{+}+c.c.$ No signal is observed, and upper limits on the branching fractions at the $90\%$ confidence level are set as $\mathcal{B}(J/ψ\to D_{s}^{-}ρ^{+}+c.c.)<8.0\times10^{-7}$ and $\mathcal{B}(J/ψ\to D_{s}^{-}π^{+}+c.c.)<4.1\times10^{-7}$. Our results provide the most stringent experimental constraints on …

Isomorphism of \'etale fundamental groups lifts to isomorphism of stratified fundamental group
Indranil Biswas, Manish Kumar, A. J. Parameswaran
https://arxiv.org/abs/2506.03829

Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group
It is shown that if a finite generically smooth morphism $f\,:\,Y\,\longrightarrow\, X$ of smooth projective varieties induces an isomorphism of the étale fundamental groups, then the induced map of the stratified fundamental groups $π_1^{str}(f)\, :\, π_1^{str}(Y,\, y)\,\longrightarrow\, π_1^{str}(X,\, f(y))$ is also an isomorphism.

Modern approach to muonic x-ray spectroscopy demonstrated through the measurement of stable Cl radii
K. A. Beyer, T. E. Cocolios, C. Costache, M. Deseyn, P. Demol, A. Doinaki, O. Eizenberg, M. Gorshteyn, M. Heines, A. Herz\'a\v{n}, P. Indelicato, K. Kirch, A. Knecht, R. Lica, V. Matousek, E. A. Maugeri, B. Ohayon, N. S. Oreshkina, W. W. M. M. Phyo, R. Pohl, S. Rathi, W. Ryssens, A. Turturica, K. von Schoeler, I. A. Valuev, S. M. Vogiatzi, F. Wauters, A. Zendour

Modern approach to muonic x-ray spectroscopy demonstrated through the measurement of stable Cl radii
Recent advances in muonic x-ray experiments have reinvigorated efforts in measurements of absolute nuclear charge radii. Here, a modern approach is presented, and demonstrated through determination of the charge radii of the two stable chlorine nuclides $^{35}$Cl and $^{37}$Cl. Knowledge of these radii has implications for fundamental studies in nuclear and atomic physics. For this purpose, a state-of-the-art experiment was performed at the $π$E1 beamline in the Paul Scherrer Institute (Switze…

This https://arxiv.org/abs/2112.09041 has been replaced.
link: https://scholar.google.com/scholar?q=a

Ahlfors-regular conformal dimension and energies of graph maps
For a hyperbolic rational map $f$ with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set $J_f$ from a family of energies of associated graph maps. Concretely, the dynamics of $f$ is faithfully encoded by a pair of maps $π, ϕ: G_1 \to G_0$ between finite graphs that satisfies a natural expanding condition. Associated to this combinatorial data, for each $q \geq 1$, is a numerical invariant $\overline{E}^q[π,ϕ]$, its asymptotic $q$…

Some Properties of Twisted Chevalley Groups
Deep H. Makadiya
https://arxiv.org/abs/2505.24430 https://arxiv.org/pdf/2505.24430…

Some Properties of Twisted Chevalley Groups
This thesis investigates certain structural properties of twisted Chevalley groups over commutative rings, focusing on three key problems. Let $R$ be a commutative ring satisfying mild conditions. Let $G_{π,σ} (Φ, R)$ denote a twisted Chevalley group over $R$, and let $E'_{π, σ} (Φ, R)$ denote its elementary subgroup. The first problem concerns the normality of $E'_{π, σ} (Φ, R, J)$, the relative elementary subgroups at level $J$, in the group $G_{π, σ} (Φ, R)$. The second problem…

This https://arxiv.org/abs/2503.02963 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Examination of the possibility of $π^0$ condensation and magnetization in freely interpenetrating nuclei
Conditions are found, at which in nuclear matter there may appear a spatially nonuniform $p$ wave $π^0$ condensate supplemented by a spatially varying spontaneous magnetization. The pion-nucleon interaction and the anomaly contributions to magnetization are taken into account. Response of the system on external magnetic field is also considered. Then the model of nonoverlapped nucleon Fermi spheres is employed. Arguments are given in favor of possibility of the occurrence of the $π^0$-condens…

Higher homotopy wild sets
Jeremy Brazas, Atish Mitra
https://arxiv.org/abs/2505.23665 https://arxiv.org/pdf/2505.23665

Higher homotopy wild sets
The $π_n$-wild set $\mathbf{w}_{n}(X)$ of a topological space $X$ is the subspace of $X$ consisting of the points at which there exists a shrinking sequence of essential based maps $S^n\to X$. In this paper, we show that the homotopy type of $\mathbf{w}_{n}(X)$ is a homotopy invariant of $X$ and, in analogy to the known one-dimensional case, we show that for certain $n$-dimensional $π_n$-shape injective metric spaces, the homeomorphism type of $\mathbf{w}_{n}(X)$ is a homotopy invariant of $X…

A note on the unique properties of the Kullback--Leibler divergence for sampling via gradient flows
Francesca Romana Crucinio
https://arxiv.org/abs/2507.04330

A note on the unique properties of the Kullback--Leibler divergence for sampling via gradient flows
We consider the problem of sampling from a probability distribution $π$. It is well known that this can be written as an optimisation problem over the space of probability distribution in which we aim to minimise a divergence from $π$. and The optimisation problem is normally solved through gradient flows in the space of probability distribution with an appropriate metric. We show that the Kullback--Leibler divergence is the only divergence in the family of Bregman divergences whose gradient …

$\eta$ and $\eta'$ meson production in $J/\psi$ radiative decays from lattice QCD
Mischa Batelaan, Jozef J. Dudek, Robert G. Edwards
https://arxiv.org/abs/2506.09305

$η$ and $η'$ meson production in $J/ψ$ radiative decays from lattice QCD
We report on the computation of amplitudes describing the radiative decay processes $J/ψ\to γ\, η$ and $J/ψ\to γ\, η'$ from first principles via lattice QCD. Using lattices with two degenerate flavors of light quark and a heavier strange quark where $m_π\sim 391$ MeV, we compute three-point correlation functions using optimized meson operators with a range of momenta. The use of optimized operators allows access to the $η'$, even though it appears as an excited state, lying above the gr…

π is only half the truth!

On the Hardness of Unsupervised Domain Adaptation: Optimal Learners and Information-Theoretic Perspective
Zhiyi Dong, Zixuan Liu, Yongyi Mao
https://arxiv.org/abs/2507.06552

On the Hardness of Unsupervised Domain Adaptation: Optimal Learners and Information-Theoretic Perspective
This paper studies the hardness of unsupervised domain adaptation (UDA) under covariate shift. We model the uncertainty that the learner faces by a distribution $π$ in the ground-truth triples $(p, q, f)$ -- which we call a UDA class -- where $(p, q)$ is the source -- target distribution pair and $f$ is the classifier. We define the performance of a learner as the overall target domain risk, averaged over the randomness of the ground-truth triple. This formulation couples the source distributi…

Coherent superposition of emitted and resonantly scattered photons from a two-level system driven by an even-$\pi$ pulse
I. V. Krainov, A. I. Galimov, M. V. Rakhlin, A. A. Toropov, T. V. Shubina
https://arxiv.org/abs/2507.05943

Coherent superposition of emitted and resonantly scattered photons from a two-level system driven by an even-$π$ pulse
We report the observation of a bunching of ~3 photon states, which is a coherent superposition of emitted photons and resonantly scattered laser photons, arising upon excitation by even-$π$ pulses of a two-level system represented by a charged quantum dot in a microcavity. This phenomenon emerges because the exciting laser pulse contains several tens of photons whose quantum amplitude distribution creates such a superposition, and the polarization of the scattered photons is changed by the int…

This https://arxiv.org/abs/2111.14687 has been replaced.
link: https://scholar.google.com/scholar?q=a

Gaussian curvature conjecture for minimal graphs
In this paper, we solve the longstanding Gaussian curvature conjecture of a minimal graph $S$ over the unit disk. The conjecture asserts that for any minimal graph above the unit disk, the Gaussian curvature at the point directly above the origin satisfies the sharp inequality \( |\mathcal{K}| < \frac{π^2}{2} \). We first reduce the conjecture to the problem of estimating the Gaussian curvature of certain Scherk-type minimal surfaces defined over bicentric quadrilaterals inscribed in…

Measurement of the $\eta$ transition form factor through $\eta' \rightarrow \pi^ \pi^-\eta$ decay
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.08576

Measurement of the $η$ transition form factor through $η' \rightarrow π^+π^-η$ decay
Based on a sample of $(1.0087\pm0.0044)\times10^{10}$ $J/ψ$ events collected at BESIII, the transition form factor of the $η$ meson is extracted by analyzing $J/ψ\toγη',~η'\toπ^+π^-η,~η\toγl^+l^-$ ($l$=$e$, $μ$) events. The measured slope of the transition form factor is $Λ^{-2}=1.645\pm0.093_{\rm stat.}\pm {0.024_{\rm sys.}}$ (GeV/$c^2$)$^{-2}$ for the di-electron channel and $Λ^{-2}=1.645\pm0.343_{\rm stat.}\pm0.017_{\rm sys.}$ (GeV/$c^2$)$^{-2}$ for the di-muon channel. The bra…

This https://arxiv.org/abs/2411.09063 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The typical elasticity of a quadratic order
For an atomic domain $D$, the $elasticity$ $ρ(D)$ of $D$ is defined as $\sup\{r/s: π_1\cdots π_r = ρ_1 \cdots ρ_s,~ \text{where each $π_i, ρ_j$ is irreducible}\}$; the elasticity provides a concrete measure of the failure of unique factorization in $D$. Fix a quadratic number field $K$ with discriminant $Δ_K$, and for each positive integer $f$, let $\mathcal{O}_f = \mathbb{Z} + f\mathcal{O}_K$ denote the order of conductor $f$ in $K$. Results of Halter-Koch imply that $\mathcal{O}_f$ ha…

This https://arxiv.org/abs/2402.19331 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiplicative Hitchin Fibrations and the Fundamental Lemma
Let $k$ be a finite field and let $G$ be a reductive group over $k[[π]]$. Suppose $\mathrm{char}(k)$ is larger than twice the Coxeter number of $G$, we prove the standard endoscopic fundamental lemma for the spherical Hecke algebra of $G$ using multiplicative Hitchin fibrations.

An iterated random function with Lipschitz number one
Aaron Abrams, Henry Landau, Zeph Landau, James Pommersheim, Eric Zaslow
https://arxiv.org/abs/2506.22420

An iterated random function with Lipschitz number one
Consider the set of functions $f_θ(x)=|θ-x|$ on $\mathbb{R}$. Define a Markov process that starts with a point $x_0 \in \mathbb{R}$ and continues with $x_{k+1}=f_{θ_{k+1}}(x_{k})$ with each $θ_{k+1}$ picked from a fixed bounded distribution $μ$ on $\mathbb{R}^+$. We prove the conjecture of G. Letac that if $μ$ is not supported on a lattice, then this process has a unique stationary distribution $π_μ$ and any distribution converges under iteration to $π_μ$ (in the weak-$^*$ t…

This https://arxiv.org/abs/2411.03399 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepe…

Study of $D_{s1}(2460)^{+}\to D_{s}^{+}π^{+}π^{-}$ in $B\to {\bar{D}}^{(*)}D_{s}^{+}π^{+}π^{-}$ decays
An amplitude analysis of the $D_{s1}(2460)^+\to D_{s}^{+}π^{+}π^{-}$ transition is performed simultaneously in $B^{0}\to D^{-}D_{s}^{+}π^{+}π^{-}$, $B^{+}\to{\bar{D}}^{0} D_{s}^{+}π^{+}π^{-}$, and $B^{0}\to D^{*-}D_{s}^{+}π^{+}π^{-}$ decays. The study is based on a data sample of proton-proton collisions recorded with the LHCb detector at centre-of-mass energies of $\sqrt{s}=7,8,$ and $13\,$TeV, corresponding to a total integrated luminosity of $9\,\rm{fb}^{-1}$. A clear double-peak str…

Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
Xiong-Hui Cao, Feng-Kun Guo, Zhi-Hui Guo, Qu-Zhi Li
https://arxiv.org/abs/2506.10619

Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
A comprehensive analysis of $πK\rightarrow πK$ and $ππ\rightarrow K\bar K$ amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion relations is used to describe lattice QCD data at $m_π=391~$MeV. In the present analysis, the amplitudes for the $S$- and $P$-waves are formulated by combining the constraints of analyticity, unitarity, and crossing symmetry, fulfilling Roy-Steiner-type equations. We u…

Optimal Transport for $e/\pi^0$ Particle Classification in LArTPC Neutrino Experiments
David Caratelli, Nathaniel Craig, Chuyue Fang, Jessica N. Howard
https://arxiv.org/abs/2506.09238

Optimal Transport for $e/π^0$ Particle Classification in LArTPC Neutrino Experiments
The efficient classification of electromagnetic activity from $π^0$ and electrons remains an open problem in the reconstruction of neutrino interactions in Liquid Argon Time Projection Chamber (LArTPC) detectors. We address this problem using the mathematical framework of Optimal Transport (OT), which has been successfully employed for event classification in other HEP contexts and is ideally suited to the high-resolution calorimetry of LArTPCs. Using a publicly available simulated dataset fro…

Some series connecting Fibonacci numbers to $\pi$
Zhi-Wei Sun, Yajun Zhou
https://arxiv.org/abs/2506.01865 https://arxiv.org/pdf/2506…

Some series connecting Fibonacci numbers to $π$
In this paper, we mainly deduce several series identities connecting the Fibonacci numbers to $π$. For example, we prove that \[\sum_{k=1}^{\infty}\frac{(135 k-56) F_{8 k}-2 (105 k-44) F_{8 k-1}}{k^{3}\binom{2k}{k}^3}=\frac{7π^{2}}{3}\]and\[\sum_{k=0}^\infty\frac{\binom{2k}{k}^3}{2^{12k}}\big[ 2 (90 k+13) F_{8 k}-2 (30 k-1) F_{8 k-1}\big]=\frac{64}π.\]

The coordinate functions of the Heighway dragon curve
Danilo Antonio Caprio
https://arxiv.org/abs/2506.05541 https://arxiv.org/pdf/25…

The coordinate functions of the Heighway dragon curve
In this work we study properties of the coordinate functions $x_θ$ and $y_θ$ of the dragon curve associated to the angle $\fracπ{3}<θ< \frac{5π}{3}$ and we prove that the box-counting dimension of its graphs are equal to $1-\frac{\log \cosα}{\log 2} $, where $α=\frac{π-θ}{2}$.

RG evolution and effect of intermediate new physics on $\Delta B=2$ six-quark operators
Mathew Thomas Arun, Shyam M, Ritik Pal
https://arxiv.org/abs/2506.10105

RG evolution and effect of intermediate new physics on $ΔB=2$ six-quark operators
The recent identification of possible 11 neutron-antineutron ($n$-$\bar{n}$) oscillation candidate events at Super-Kamiokande has renewed the interest in $ΔB = 2$ transitions. In this work, we analyze the Renormalization Group (RG) running of mass dimension-9 six-quark operators, in $\bar{MS}$ scheme, that generate processes like $nn\to π^0π^0$, deuteron decay, $n$-$\bar{n}$ oscillations etc, evolving them from the electroweak scale to baryon number violating scale ($\mathcal{O}(10^3~\text{T…

Higher differentiability for solutions to stationary $p$-Stokes systems under sub-quadratic growth conditions
Anna Cavagnoli
https://arxiv.org/abs/2507.03499

Higher differentiability for solutions to stationary $p$-Stokes systems under sub-quadratic growth conditions
We consider weak solutions $(u,π):\mathbb{R}^n\supsetΩ\to\ \mathbb{R}^n\times\ \mathbb{R}$ to stationary $p$-Stokes systems of the type \[ \begin{cases} -\mathrm{div} (a(\mathcal{E} u))+\nablaπ=f \\ \mathrm{div}(u)=0, \end{cases} \] in $Ω,$ where the function $a(ξ)$ satisfies $p$-growth conditions in $ξ$. By $\mathcal{E} u$ we denote the symmetric part of the gradient $Du$. In this setting, we establish results on the fractional higher differentiability of both the symmetric part of the…

Half-space Liouville-type theorems for minimal graphs with capillary boundary
Guofang Wang, Wei Wei, Xuwen Zhang
https://arxiv.org/abs/2506.03417 https://

Half-space Liouville-type theorems for minimal graphs with capillary boundary
In this paper, we prove two Liouville-type theorems for capillary minimal graph over $\mathbb{R}^n_+$. First, if $u$ has linear growth, then for $n=2,3$ and for any $θ\in(0,π)$, or $n\geq4$ and $θ\in(\fracπ6,\frac{5π}6)$, $u$ must be flat. Second, if $u$ is one-sided bounded on $\mathbb{R}^n_+$, then for any $n$ and $θ\in(0,π)$, $u$ must be flat. The proofs build upon gradient estimates for the mean curvature equation over $\mathbb{R}^n_+$ with capillary boundary condition, which are bas…

Dicritical divisors and hypercurvettes
Enrique Artal Bartolo, Willem Veys
https://arxiv.org/abs/2505.24648 https://arxiv.org/pdf/2505…

Dicritical divisors and hypercurvettes
Germs of rational functions~$h$ on points $p$ of smooth varieties~$S$ define germs of rational maps to the projective line. Assume that $p$ is in the indeterminacy locus of $h$. If $π:\hat{S}\to S$ is a birational map which is an isomorphism outside $p$, then $h$ lifts to a germ of a rational map on $(\hat{S}, π^{-1}(p))$. The exceptional components $E_i$ of $π^{-1}(p)$ are classified according to the restriction of (the lift of) $h$ to $E_i$; the dicritical components are those where this r…

On the domination of surface-group representations in $\mathrm{PU}(2,1)$
Pabitra Barman, Krishnendu Gongopadhyay
https://arxiv.org/abs/2506.03838 https://

On the domination of surface-group representations in $\mathrm{PU}(2,1)$
This article explores surface-group representations into the complex hyperbolic group $\mathrm{PU}(2,1)$ and presents domination results for a special class of representations called $T$-bent representations. Let $S_{g,k}$ be a punctured surface of negative Euler characteristic. We prove that for a $T$-bent representation $ρ: π_1(S_{g,k}) \rightarrow \mathrm{PU}(2,1)$, there exists a discrete and faithful representation $ρ_0: π_1(S_{g,k}) \rightarrow \mathrm{PO}(2,1)$ that dominates $ρ$ in…

periodic reminder: π is NOT real!

Potential absence of observed $\pi^2$ linear-chain structures in $^{14}$O via $^{10}$C($\alpha,\alpha$) resonant scattering
J. Bishop, A. Hollands, Tz. Kokolova, G. V. Rogachev, C. Wheldon, E. Aboud, S. Ahn, M. Barbui, N. Curtis, J. Hooker, C. Hunt, H. Jayatissa, E. Koshchiy, S. Pirrie, B. T. Roeder, A. Saastamoinen, S. Upadhyayula
https://

Potential absence of observed $π^2$ linear-chain structures in $^{14}$O via $^{10}$C($α,α$) resonant scattering
Background: The preference for light nuclear systems to coagulate into $α$-particle clusters has been well-studied. The possibility of a linear chain configuration of $α$-particles would allow for a new way to study this phenomenon. Purpose: A rotational band of states in $^{14}$C has been claimed showing a $π^2$ linear chain structure. The mirror system, $^{14}$O, has been studied here to examine how this linear chain structure is affected by replacing the valence neutrons with protons. Met…

Majorana edge reconstruction and the $\nu=5/2$ non-Abelian thermal Hall puzzle
Tev\v{z} Lotri\v{c}, Taige Wang, Michael P. Zaletel, Steven H. Simon, S. A. Parameswaran
https://arxiv.org/abs/2507.07161

Majorana edge reconstruction and the $ν=5/2$ non-Abelian thermal Hall puzzle
Pioneering thermal transport measurements on two-dimensional electron gases in high magnetic fields have demonstrated that the quantized Hall state at filling factor $ν=5/2$ has a thermal Hall conductance $κ$ quantized in half-integer multiples of $κ_0 = {π^2 k_B^2 T}/{3h}$. Half-integer $κ/κ_0$ is a signature of neutral Majorana edge modes, in turn linked to the presence of non-Abelian anyon excitations in the bulk. However, the experimentally observed value of $κ$ corresponds to the 'P…

Semileptonic $D_{e4}$ decays: hadronic dynamics and the determination of $|V_{cs}|$
J. L. Guti\'errez Santiago, G. L\'opez Castro
https://arxiv.org/abs/2506.06586

Semileptonic $D_{e4}$ decays: hadronic dynamics and the determination of $|V_{cs}|$
The four-body decays $D^+ \to K^-π^+e^+ν_e$ ($D_{e4}^+$) and $D^0\to \overline{K^0}π^-e^+ν_e$ ($D^0_{e4}$) are studied in a model where the momentum-dependence of the hadronic matrix elements are described in terms of $K^*(892)$ and $D^*(2010)$ pole contributions. From fits to the recent data of the BESIII collaboration we find that the $D^*$-pole can mimic the effect of the $S$-wave contribution of the $Kπ$ system, which has been suggested as an observational evidence for the light scalar…

Search for heavy neutral leptons in $\pi^ $ decays to positrons
NA62 Collaboration
https://arxiv.org/abs/2507.07345 https://arxiv.org…

Search for heavy neutral leptons in $π^+$ decays to positrons
A search for heavy neutral lepton ($N$) production in $π^+\to e^+ N$ in-flight decays using data collected by the NA62 experiment at CERN in 2017-2024 is reported. Upper limits for the extended neutrino mixing matrix element $|U_{e4}|^2$ are established at the level of $10^{-8}$ for heavy neutral leptons with mass in the range 95-126 $MeV/c^2$ and lifetime exceeding 50 ns.

This https://arxiv.org/abs/2308.16070 has been replaced.
initial toot: https://mastoxiv.page/@a…

Giant piezoelectricity driven by Thouless pump in conjugated polymers
Piezoelectricity of organic polymers has attracted increasing interest because of several advantages they exhibit over traditional inorganic ceramics. While most organic piezoelectrics rely on the presence of intrinsic local dipoles, a highly nonlocal electronic polarization can be foreseen in conjugated polymers, characterised by delocalized and highly responsive $π$-electrons. These 1D systems represent a physical realization of a Thouless pump, a mechanism of adiabatic charge transport of t…

The trigonal construction and the second moment of the tropical Prym variety
Dmitry Zakharov
https://arxiv.org/abs/2507.06401 https://

The trigonal construction and the second moment of the tropical Prym variety
We use the tropical trigonal construction to calculate the second moment of the tropical Prym variety of all double covers $π:\widetildeΓ\to Γ$ of tropical curves of genus $g(Γ)\leq 4$. The answer is expressed in terms of the signed graphic matroid of the double cover and consists a polynomial and piecewise-polynomial term. We relate the latter term, which does not occur in the analogous formula for the tropical Jacobian, to the problem of extending the Prym--Torelli map from the moduli spa…

On the curvature bounded sphere problem in $\mathbb{R}^3$
Hongda Qiu
https://arxiv.org/abs/2507.06245 https://arxiv.org/pdf/2507.0624…

On the curvature bounded sphere problem in $\mathbb{R}^3$
We prove that if a topological sphere smoothly embedded into $\mathbb{R}^3$ with normal curvatures absolutely bounded by $1$ is contained in an open ball of radius $2$, then the region it bounds must contain a unit ball. This result suggests a potential direction for a problem formulated by D.Burago and A.Petrunin asking whether a topological sphere smoothly embedded in $\mathbb{R}^3$ with normal curvatures absolutely bounded by $1$ encloses a volume of at least $\frac{4}{3}π$. The appendix pr…

Implications of the evidence for direct $\mathbf{CP}$ violation in $D\to \pi^ \pi^-$ decays
Rahul Sinha, Thomas E. Browder, N. G. Deshpande, Dibyakrupa Sahoo, Nita Sinha
https://arxiv.org/abs/2505.24338

Implications of the evidence for direct $\mathbf{CP}$ violation in $D\to π^+π^-$ decays
The observation of CP violation in the difference of CP asymmetries between $D\to K^+K^-$ and $D\to π^+π^-$ has raised a debate whether the observed asymmetries can be regarded as a signal of physics beyond the standard model (SM). In this letter we show that the measured observables for $D\to ππ$ unambiguously imply a very large penguin contribution that is larger than $10\%$ of the amplitude for $D^0\toπ^+ π^-$ at a significance greater than $3.3σ$. We present arguments based only on u…

This https://arxiv.org/abs/2505.23455 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Pion Phenomenology from the Thermal Soft-Wall Model of Holographic QCD
This work investigates the temperature dependence of the electromagnetic form factor of the pion, its generalized parton distribution $H_π(T)$, effective mass $m_π(T)$, radius $r_π(T)$, electromagnetic charge density $ρ_π(b, T)$, pion-nucleon coupling constant $g_{πNN}(T)$ and the pion-$Δ$ coupling $g_{πΔΔ}(T)$ within the thermal soft-wall model of AdS/QCD. The thermal pion form factor is extrapolated from the zero-temperature case, and based on this, the generalized parton distributi…

Measurement of $\Lambda$ Polarization in the $\pi^{-}p \to K^{0} \Lambda$ Reaction at $p_{\pi^{-}}=1.33$ GeV/$c$ toward a New $\Lambda p$ Scattering Experiment
PARC E40 Collaboration, T. Sakao, K. Miwa, J. K. Ahn, Y. Akazawa, T. Aramaki, S. Ashikaga, S. Callier, N. Chiga, S. W. Choi, H. Ekawa, P. Evtoukhovitch, N. Fujioka, M. Fujita, T. Gogami, T. Harada, S. Hasegawa, S. H. Hayakawa, R. Honda, S. Hoshino, K. Hosomi, M. Ichikawa, Y. Ichikawa, M. Ieiri, M. Ikeda, K. Imai, Y. Ishikawa, S.…

Measurement of $Λ$ Polarization in the $π^{-}p \to K^{0} Λ$ Reaction at $p_{π^{-}}=1.33$ GeV/$c$ toward a New $Λp$ Scattering Experiment
This paper presents high-precision experimental data of the polarization of the $Λ$ hyperon in the $π^{-}p \to K^{0} Λ$ reaction, measured in the angular range $0.6<\cos θ^{CM}_{K0}<1.0$ with a fine bin width of $d\cos θ^{CM}_{K0}=0.05$. The data were obtained from the J-PARC E40 experiment at the K1.8 beamline in the J-PARC Hadron Experimental Facility. The observed average polarization of $Λ$ in the range $0.60<\cos θ^{CM}_{K0}<0.85$ was $0.932 \pm 0.058 \,(\text{stat}) \pm 0.028 \,(\t…

This https://arxiv.org/abs/2506.03074 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

GL-LowPopArt: A Nearly Instance-Wise Minimax Estimator for Generalized Low-Rank Trace Regression
We present `GL-LowPopArt`, a novel Catoni-style estimator for generalized low-rank trace regression. Building on `LowPopArt` (Jang et al., 2024), it employs a two-stage approach: nuclear norm regularization followed by matrix Catoni estimation. We establish state-of-the-art estimation error bounds, surpassing existing guarantees (Fan et al., 2019; Kang et al., 2022), and reveal a novel experimental design objective, $\mathrm{GL}(π)$. The key technical challenge is controlling bias from the non…

This https://arxiv.org/abs/2310.19597 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Automorphism groups of $\mathbb{P}^1$-bundles over ruled surfaces
We classify the pairs $(X,π)$, where $π\colon X\to S$ is a $\mathbb{P}^1$-bundle over a non-rational ruled surface $S$ and $\mathrm{Aut}^\circ(X)$ is relatively maximal, i.e., maximal with respect to the inclusion in the group $\mathrm{Bir}(X/S)$. The results hold over any algebraically closed field of characteristic zero.

A novel measurement of the strong-phase difference between $D^0\to K^-\pi^ $ and $\bar{D}^0\to K^-\pi^ $ decays using $C$-even and $C$-odd quantum-correlated $D\bar{D}$ pairs
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.07907

A novel measurement of the strong-phase difference between $D^0\to K^-π^+$ and $\bar{D}^0\to K^-π^+$ decays using $C$-even and $C$-odd quantum-correlated $D\bar{D}$ pairs
A novel measurement technique of strong-phase differences between between the decay amplitudes of $D^0$ and $\bar{D}^0$ mesons is introduced which exploits quantum-correlated $D\bar{D}$ pairs produced by $e^+e^-$ collisions at energies above the $ψ(3770)$ production threshold, where $D\bar{D}$ pairs are produced in both even and odd eigenstates of the charge-conjugation symmetry. Employing this technique, the first determination of a $D^0$-$\bar{D^0}$ relative strong phase is reported with suc…

This https://arxiv.org/abs/2309.13540 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Classification of aut-fixed subgroups in free-abelian times surface groups
In this paper, we are concerned with the direct product $G=π_1(Σ)\times \Z^k$ for $Σ$ a compact orientable surface with negative Euler characteristic, and give a complete classification of its fixed subgroups of automorphisms. As a corollary, we show that $G$ contains, up to isomorphism, infinitely many fixed subgroups of automorphisms if and only if $k\geq 2$, which is a contrast to that of hyperbolic groups. As an application on Nielsen fixed point theory, we provide a family of aspherical…

Multivariable period rings of $p$-adic false Tate curve extension
Yijun Yuan
https://arxiv.org/abs/2505.24064 https://arxiv.org/pdf/2…

Multivariable period rings of $p$-adic false Tate curve extension
Let $p\geq 3$ be a prime number and $K$ be a finite extension of $\mathbf{Q}_p$ with uniformizer $π_K$. In this article, we introduce two multivariable period rings $\mathbf{A}_{\mathfrak{F},K}^{\operatorname{np}}$ and $\mathbf{A}_{\mathfrak{F},K}^{\operatorname{np},\operatorname{c}}$ for the étale $(φ,Γ_{\mathfrak{F},K})$-modules of $p$-adic false Tate curve extension $K\left(π_K^{1/p^\infty},ζ_{p^\infty}\right)$. Various properties of these rings are studied and as applications, we show…

Does the existence of $f_0$ meson enlarge the $K^ \to \pi^0\pi^0\pi^0 e^ \nu$ decay probability?
E. K. Karkaryan, V. F. Obraztsov, M. I. Vysotsky
https://arxiv.org/abs/2506.09179

Does the existence of $f_0$ meson enlarge the $K^+ \to π^0π^0π^0 e^+ ν$ decay probability?
We estimate a possible contribution of the two-pion system $f_0(500)$ wide resonance to the decay probability of the super rare decay $K^+ \to 3π^0 e^+ ν$. We vary the width of the resonance from 0.01 MeV to 1000 MeV. We found that the contribution of the narrow resonance in a system of several final state particles into the decay probability is proportional to its width. However it never exceeds the value of the decay probability calculated on free final state particles neglecting the resona…

The cubic moment of $L$-functions for specified local component families
Yueke Hu, Ian Petrow, Matthew P. Young
https://arxiv.org/abs/2506.14741 https://…

The cubic moment of $L$-functions for specified local component families
We prove Lindelöf-on-average upper bounds on the cubic moment of central values of $L$-functions over certain families of ${\rm PGL}_2/\mathbb{Q}$ automorphic representations $π$ given by specifying the local representation $π_p$ of $π$ at finitely many primes. Such bounds were previously known in the case that $π_p$ belongs to the principal series or is a ramified quadratic twist of the Steinberg representation; here we handle the supercuspidal case. Crucially, we use new Petersson/Brugge…

Hausdorff Dimension of non-conical and Myrberg limit sets
Mahan Mj, Wenyuan Yang
https://arxiv.org/abs/2506.04955 https://arxiv.org/p…

Hausdorff Dimension of non-conical and Myrberg limit sets
In this paper, we develop techniques to study the Hausdorff dimensions of non-conical and Myrberg limit sets for groups acting on negatively curved spaces. We establish maximality of the Hausdorff dimension of the non-conical limit set of $G$ in the following cases. 1. $M$ is a finite volume complete Riemannian manifold of pinched negative curvature and $G$ is an infinite normal subgroups of infinite index in $π_1(M)$. 2. $G$ acts on a regular tree $X$ with $X/G$ infinite and amenable (dimensi…

Comparison of chiral limit studies in curvature mass versus on-shell renormalized quark-meson model using ChPT
Vivek Kumar Tiwari
https://arxiv.org/abs/2507.04597

Comparison of chiral limit studies in curvature mass versus on-shell renormalized quark-meson model using ChPT
Consistent chiral limit has been investigated in the curvature mass parametrized quark-meson (QM) model with the quark one-loop vacuum term (QMVT) employing the infrared regularized Chiral perturbation theory (ChPT) predicted scaling of the pion,~kaon decay constants $f_π, f_{K} $ and $M_η^2 = m_η^2 + m_{η^{\prime}}^2 $ when the $π\ \text{and} \ K $ meson masses are reduced as one moves away from the physical point in the Columbia plot.~Comparing the QMVT model Columbia plots with the corr…

This https://arxiv.org/abs/2411.15441 has been replaced.
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Study of $\itΛ_{\it{b}}^\rm{0}$ and $\itΞ_{\it{b}}^\rm{0}$ decays to $\itΛ h^+h^{'-}$ and evidence for $CP$ violation in $\itΛ_{\it{b}}^\rm{0}\to\itΛ K^+K^-$ decays
A study of $\itΛ_{\it{b}}^\rm{0}$ and $\itΞ_{\it{b}}^\rm{0}$ decays to $\itΛ h^{+} h^{\prime -}$ $(h^{(\prime)}=π, K)$ is performed using $pp$ collision data collected by the LHCb experiment during LHC Runs 1$-$2, corresponding to an integrated luminosity of $9~\rm{fb}^{-1}$. The branching fractions for these decays are measured using the $\itΛ_{\it{b}}^\rm{0}\to\itΛ_{\it{c}}^+(\to\itΛπ^+)π^-$ decay as control channel. The decays $\itΛ_{\it{b}}^\rm{0}\to\itΛπ^+π^-$ and $\itΞ_{\it{…

Study of $\tau\rightarrow e M^ M^-$ decays in the N-B-LSSM
Rong-Zhi Sun, Shu-Min Zhao, Shuang Di, Xing-Xing Dong
https://arxiv.org/abs/2507.01276 https://…

Study of $τ\rightarrow e M^+ M^-$ decays in the N-B-LSSM
Within the framework of the next to the minimal supersymmetric (SUSY) extension of the Standard Model (SM) with a local B-L gauge symmetry (N-B-LSSM), we study lepton flavor violating (LFV) $τ\rightarrow e M^+ M^-$ decays: $τ\rightarrow e π^+π^-$,~$τ\rightarrow e π^+K^-$,~$τ\rightarrow e K^+K^-$. According to the latest experimental data, the influence of different sensitive parameters on the branching ratios is considered. It can be seen from the numerical analysis that the main sensiti…

Nucleon Decays into Light New Particles in Neutrino Detectors
Julian Heeck, Ian M. Shoemaker
https://arxiv.org/abs/2506.08090 https://

Nucleon Decays into Light New Particles in Neutrino Detectors
Proton and neutron decays into light new particles $X$ can drastically change the experimental signatures and benefit from the complementarity of large water-Cherenkov neutrino detectors such as Super/Hyper-Kamiokande and tracking detectors such as JUNO and DUNE. The proton decays $p\to \ell^+ X$ and $p\to π^+ X$ with $m_X$ near phase-space closure lead to charged particles below Cherenkov threshold, rendering them practically invisible in Super- and Hyper-Kamiokande but not in JUNO and DUNE, …

Unraveling the structure of $\Lambda$ hyperons with polarized $\Lambda\bar{\Lambda}$ pairs
The BESIII Collaboration
https://arxiv.org/abs/2506.08072 https:…

Unraveling the structure of $Λ$ hyperons with polarized $Λ\barΛ$ pairs
With data collected in a dedicated off-resonance scan within the center-of-mass energy range of 2.3864$-$3.0800 GeV, the BESIII collaboration provides the first complete energy-dependent measurements of the $Λ$ electromagnetic form factors in the time-like region. By combining double-tag and single-tag events from the $e^+e^- \to Λ\barΛ \to pπ^-\bar{p}π^+$ reaction, we achieve a complete decomposition of the spin structure of the reaction at five energy points, with high statistical and sy…

Prym varieties and projective structures on Riemann surfaces
Indranil Biswas, Alessandro Ghigi, Luca Vai
https://arxiv.org/abs/2506.02871 https://

Prym varieties and projective structures on Riemann surfaces
Given an étale double covering $π\, :\, \widetilde{C}\, \longrightarrow\, C$ of compact Riemannsurfaces with $C$ of genus at least two, we use the Prym variety of the cover to construct canonical projective structures on both $\widetilde C$ and $C$. This construction can be interpreted as a section of an affine bundle over the moduli space of étale double covers. The $\overline{\partial}$--derivative of this section is a (1,1)--form on the moduli space. We compute this derivative in terms of…

Reexamining the search for light ALPs at flavor and forward accelerator experiments
Tong Li, Michael A. Schmidt, Man Yuan
https://arxiv.org/abs/2506.08342 …

Reexamining the search for light ALPs at flavor and forward accelerator experiments
The axion-like particle (ALP) is a well-motivated extension of the Standard Model. In this work, we revisit the sensitivity of forward accelerator experiments to light long-lived ALPs, and analyze flavor constraints. Our analysis incorporates recent measurements of the rare decays $B\to K + X$ and $K\to π+X$, which place stringent bounds on quark flavor violation of a light ALP. We consider the complete list of hadronic modes in the calculation of the ALP decay rate and exclusive production ch…

Measurement of the $\Omega_c^0$ and $\Xi_c^0$ baryon lifetimes using hadronic $b$-baryon decays
LHCb collaboration, et al.
https://arxiv.org/abs/2506.13334

Measurement of the $Ω_c^0$ and $Ξ_c^0$ baryon lifetimes using hadronic $b$-baryon decays
The lifetimes of the $Ω_c^0$ and $Ξ_c^0$ baryons are measured using a $pp$ collision dataset collected by the LHCb experiment, corresponding to an integrated luminosity of $9~\rm{fb^{-1}}$. The charm baryons are produced in the fully reconstructed decay chains $Ω_b^- \rightarrow Ω_c^0 (\rightarrow pK^-K^-π^+)~π^-$ and $Ξ_b^- \rightarrow Ξ_c^0 (\rightarrow pK^-K^-π^+)~π^-$. The measurement uses topologically and kinematically similar $B^- \rightarrow D^0(\rightarrow K^-K^+π^-π^+)~π^…

Thermodynamic Analysis of Transverse Momentum Spectra in Pb-Pb Collisions at 2.76 TeV: Centrality Dependence of Temperature, Freezeout Parameters and Non-Extensitivity
M. Waqas, Hassan Ali Khan, Wolfgang Bietenholz, Muhammad Ajaz, Jihane Ben Slimane, Haifa I. Alrebdi, A. Haj Ismail
https://arxiv.org/abs/2507.07369

Thermodynamic Analysis of Transverse Momentum Spectra in Pb-Pb Collisions at 2.76 TeV: Centrality Dependence of Temperature, Freezeout Parameters and Non-Extensitivity
We study properties of Pb-Pb collisions at 2.76 TeV in mid-rapidity, $|y|<0.5$, based on data by the ALICE Collaboration. In particular, we examine the transverse momentum ($p_T$) spectra of positively charged (identified) hadrons, $π^+$, $K^+$ and $p$, generated in various centrality intervals. We perform individual fits using the thermodynamically consistent Tsallis distribution to extract the following quantities: the non-extensitivity parameter, $q$, the effective temperature, $T…

On the constituents of the mod $p$ cohomology of Shimura curves
Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen
https://arxiv.org/abs/2506.16293

On the constituents of the mod $p$ cohomology of Shimura curves
Let $p$ be a prime number and $K$ a finite unramified extension of $\mathbb{Q}_p$. When $p$ is large enough with respect to $[K:\mathbb{Q}_p]$ and under mild genericity assumptions, we proved in our previous work that the admissible smooth representations $π$ of $\mathrm{GL}_2(K)$ that occur in Hecke eigenspaces of the mod $p$ cohomology are of finite length. In this paper we obtain various refined results about the structure of subquotients of $π$, such as their Iwahori-socle filtrations…

Entropy production at electroweak bubble walls from scalar field fluctuations
M. Eriksson, M. Laine
https://arxiv.org/abs/2507.07755 https://

Entropy production at electroweak bubble walls from scalar field fluctuations
The real-time dynamics of an electroweak phase transition involves large time and distance scales, the domain of hydrodynamics. However, the matching conditions of ideal hydrodynamics across a bubble wall do not fix the fluid profile completely, with the remaining degree of freedom parametrizable through entropy production. Within a framework of Langevin dynamics, viewed as an effective description valid between the hydrodynamic ($k \sim g^4_{ } T/π^3_{ }$) and soft momentum scales ($k \sim gT…

$CP$ violation of two-body hadronic $\Lambda_b$ decays in the PQCD approach
Jia-Jie Han, Ji-Xin Yu, Ya Li, Hsiang-nan Li, Jian-Peng Wang, Zhen-Jun Xiao, Fu-Sheng Yu
https://arxiv.org/abs/2506.07197

$CP$ violation of two-body hadronic $Λ_b$ decays in the PQCD approach
We systematically investigate the $CP$-averaged branching ratios and $CP$ violations (CPVs) for the two-body hadronic decays $Λ_b\to ph$, where $h$ runs through the mesons $π^-$, $ρ^-$, $a_1^-(1260)$, $K^-$, $K^{\ast -}$, $K_1^-(1270)$ and $K_1^-(1400)$, in the perturbative QCD approach to order $α_s^2$ in the strong coupling. Various topological amplitudes are obtained by incorporating subleading-twist hadron distribution amplitudes, which exhibit reasonable hierarchical patterns, sizable …

This https://arxiv.org/abs/2411.09432 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepe…

Measurement of $ω$ meson production in pp collisions at $\sqrt{s}$ = 13 TeV
The $p_{\rm T}$-differential cross section of $ω$ meson production in pp collisions at $\sqrt{s}= 13$ TeV at midrapidity ($|y|<0.5$) was measured with the ALICE detector at the LHC, covering an unprecedented transverse-momentum range of $1.6

$Z_{cs}^ $ production in the $B^ $ decays process
Zhuo Yu, Qi Wu, Dian-Yong Chen
https://arxiv.org/abs/2506.06702 https://arxiv.org/p…

$Z_{cs}^+$ production in the $B^+$ decays process
In the present work, we studied the $Z_{cs}^+$ exotic state production in the $B^+$ meson decays through the meson loop mechanism, where the $B^+$ meson decays into an anti-charmed meson and a charmed-strange meson pair, and consequently couples to $Z_{cs}$ and a light meson ($ϕ,ρ^0,ω,η,η^\prime$, and $π^0$) via exchanging a proper charmed or charmed-strange meson. Using the effective Lagrangian approach, we estimated the branching fractions of different channels find them to be on the or…

Understanding the low-lying $\Omega_c$ structures from a coupled-channel perspective
Ying Zhang, Qing-Fu Song, Qi-Fang L\"u, Hideko Nagahiro, Atsushi Hosaka
https://arxiv.org/abs/2507.06611

Understanding the low-lying $Ω_c$ structures from a coupled-channel perspective
We perform a systematic analysis of the low-lying $Ω_c$ structures in a coupled-channel approach. The couplings between meson-baryon channels, $Ξ_c \bar K$, $Ξ_c^{\prime} \bar K$, $Ξ_c^{*} \bar K$, $Ω_cη$ and $Ω_c^{*}η$, and three-quark bare states $Ω_c(1P_λ)$ are considered. We predict a bound state $Ω_c(2954)$ below the $Ξ_c \bar K$ threshold with $(J^P,j)=(1/2^-,0)$, which can be studied in the final states of $Ω_c^{(*)} π$ and $Ω_c^{(*)} γ$. Also, the resonances $Ω_c(3000)$…

Understanding the medium-like effects in the jet-like yield in pp and p-Pb collisions using event generators
Dushmanta Sahu, Antonio Ortiz, Victor Campos
https://arxiv.org/abs/2506.06587

Understanding the medium-like effects in the jet-like yield in pp and p-Pb collisions using event generators
To understand the dynamics of jet-medium interaction in small systems such as proton-proton (pp) and proton-lead (p-Pb) collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV, particle production is studied in three distinct topological regions defined with respect to the charged particle with the highest transverse momentum in the event ($p_{\rm T}^{\rm trig}$). The jet-like yield is defined by the particle density in the toward region ($|Δφ|<π/3$) after subtracting that in the transverse r…

Cross sections of $\eta$ mesons in $p$$ $$p$ collisions at forward rapidity at $\sqrt{s}=500$ GeV and central rapidity at $\sqrt{s}=510$ GeV
PHENIX Collaboration, et al.
https://arxiv.org/abs/2507.04896

Cross sections of $η$ mesons in $p$$+$$p$ collisions at forward rapidity at $\sqrt{s}=500$ GeV and central rapidity at $\sqrt{s}=510$ GeV
We present the first measurements of the forward and midrapidity $η$-meson cross sections from $p$$+$$p$ collisions at $\sqrt{s}=500$ and $510$~GeV, respectively. We also report the midrapidity $η/π^0$ ratio at 510 GeV. The forward cross section is measured differentially in $η$-meson transverse momentum ($p_T$) from 1.0 to 6.5~GeV/$c$ for pseudorapidity $3.0<|η|<3.8$. The midrapidity cross section is measured from 3.5 to 44 GeV/$c$ for pseudorapidity $|η|<0.35$. Both …

Unified study of two-meson and axion-meson production from semileptonic tau decays within resonance chiral framework
Jin Hao, Chun-Gui Duan, Zhi-Hui Guo
https://arxiv.org/abs/2507.00383

Unified study of two-meson and axion-meson production from semileptonic tau decays within resonance chiral framework
We carry out the joint study of the semileptonic tau decays into the two-meson and axion-meson channels, viz. $τ^-\to (P_1P_2)^-ν_τ$ and $τ^-\to π^-(K^-) aν_τ$ within the framework of resonance chiral theory by including the model-independent axion-gluon-gluon interaction. By utilizing the $π^0$-$η$-$η'$-axion mixing matrix elements from recent studies, we calculate the pertinent two-pseudoscalar boson form factors. To simultaneously fit the experimental spectra measured in the Cabibb…

Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory
Jing Ou-Yang, Ke Wang, Bo-Lin Huang
https://arxiv.org/abs/2506.22339

Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory
We calculate the threshold $T$ matrices of the meson and baryon processes that have no annihilation diagrams: $π^{+}Σ^{+}$, $π^{+}Ξ^0$, $K^+p$, $K^+n$, and $\bar{K}^0Ξ^0$ to the fourth order in heavy baryon chiral perturbation theory. By performing least squares and Bayesian fits to the non-physical lattice QCD data, we determine the low-energy constants through both perturbative and non-perturbative iterative methods. By using these low-energy constants, we obtain the physical scattering …