Tootfinder

Observation of $\psi(3686)\to \gamma \eta(1405)$ via $\eta(1405)\to f_0(980)\pi^0$
M. Ablikim, et al.
https://arxiv.org/abs/2509.09156 https://arxiv.org/pd…

Observation of $ψ(3686)\to γη(1405)$ via $η(1405)\to f_0(980)π^0$
The decay $ψ(3686)\toγπ^+π^-π^0$ is studied using a sample of $(2712.4\pm14.3)\times10^6$ $ψ(3686)$ events collected with the BESIII detector. The decay $η(1405)\toπ^+π^-π^0$ is observed for the first time in $ψ(3686)$ decays via the intermediate state $f_0(980)$ and the product branching fraction $\mathcal{B}(ψ(3686)\toγη(1405))\times\mathcal{B}(η(1405)\to f_0(980)π^0)\times \mathcal{B}(f_0(980)\toπ^+π^-)$ is determined to be $(3.77\pm0.43\pm0.29)\times10^{-7}$, where the fir…

Rankin-Selberg integrals for $\mathrm{GSpin}$ groups with application to the global Gan-Gross-Prasad conjecture
Pan Yan
https://arxiv.org/abs/2508.09066 https://

Rankin-Selberg integrals for $\mathrm{GSpin}$ groups with application to the global Gan-Gross-Prasad conjecture
We construct Rankin-Selberg integrals using Bessel models for a product of tensor product partial $L$-functions \begin{equation*} L^S(s,π\timesτ_1) L^S(s,π\timesτ_2)\cdots L^S(s,π\timesτ_r) \end{equation*} where $π$ is an irreducible cuspidal automorphic representation of a quasi-split $\mathrm{GSpin}$ group, and $τ_1, \cdots, τ_r$ are irreducible unitary cuspidal automorphic representations of $\mathrm{GL}_{k_1}, \cdots, \mathrm{GL}_{k_r}$ respectively. As an application, we prove one…

Bigraded Lie algebras and nilpotent fundamental groups of smooth complex algebraic varieties
Taito Shimoji
https://arxiv.org/abs/2510.09026 https://arxiv.o…

Bigraded Lie algebras and nilpotent fundamental groups of smooth complex algebraic varieties
Let $X$ be a smooth complex algebraic variety. Assume that the fundamental group $π_1(X,x)$ is torsion-free nilpotent. We show that if the betti number $b_1(X)$ is less than or equal to $3$, then $π_1(X,x)$ is isomorphic to $\mathbb{Z}$, $\mathbb{Z}^2$, $\mathbb{Z}^3$, a lattice in the Heisenberg group $H_3(\mathbb{R})$ or $\mathbb{R}\times H_3(\mathbb{R})$. Moreover we show that $π_1(X,x)$ is abelian or $2$-step nilpotent if the rank of $π_1(X,x)$ is less than or equal to seven. We prove t…

Bridging Theory and Practice in Quantum Game Theory: Optimized Implementation of the Battle of the Sexes with Error Mitigation on NISQ Hardware
Germ\'an D\'iaz Agreda, Carlos Andres Duran Paredes, Mateo Buenaventura Samboni, Jhon Alejandro Andrade, Sebasti\'an Andr\'es Cajas Ordo\~nez
https://arxiv.org/abs/2508.09050…

Bridging Theory and Practice in Quantum Game Theory: Optimized Implementation of the Battle of the Sexes with Error Mitigation on NISQ Hardware
Implementing quantum game theory on real hardware is challenging due to noise, decoherence, and limited qubit connectivity, yet such demonstrations are essential to validate theoretical predictions. We present one of the first full experimental realizations of the Battle of the Sexes game under the Eisert-Wilkens-Lewenstein (EWL) framework on IBM Quantum's ibm sherbrooke superconducting processor. Four quantum strategies (I, H, $R(π/4)$, $R(π)$) were evaluated across 31 entanglement values $�…

$CP$ asymmetries in the $\Lambda_c^ \to pK^0_S$ and $\Xi^ _c\to \Sigma^ K^0_S$ decays
Di Wang, Si-Jia Wen
https://arxiv.org/abs/2509.09503 https://arxiv.or…

$CP$ asymmetries in the $Λ_c^+\to pK^0_S$ and $Ξ^+_c\to Σ^+K^0_S$ decays
$CP$ asymmetry is a crucial element in interpreting the matter-antimatter asymmetry in the universe and searching for new physics beyond the Standard Model. In this work, we study the $CP$ asymmetries in the $Λ_c^+\to pK^0_S$ and $Ξ^+_c\to Σ^+K^0_S$ decays. The time-independent and time-integrated $Γ$-, $α$-, $β$-, and $γ$-defined $CP$ asymmetries in the chain decay $\mathcal{B}_{c\overline 3}\to \mathcal{B}K(t)(\to π^{+}π^{-})$ are derived. It is found that the $CP$ asymmetry in $K^0-…

Exact solution of the two-magnon problem in the $k=-\pi/2$ sector of a finite-size anisotropic spin-$1/2$ frustrated ferromagnetic chain
Zimeng Li, Ning Wu
https://arxiv.org/abs/2509.09659

Exact solution of the two-magnon problem in the $k=-π/2$ sector of a finite-size anisotropic spin-$1/2$ frustrated ferromagnetic chain
The two-magnon problem in the $k=-π/2$ sector of a \emph{finite-size} spin-1/2 chain with ferromagnetic nearest-neighbor (NN) interaction $(J_1>0)$ and antiferromagnetic next-nearest-neighbor (NNN) interaction $(J_2<0)$ and anisotropy parameters $Δ_1$ and $Δ_2$ is solved exactly by combining a set of exact two-magnon Bloch states and a plane-wave ansatz. Two types of two-magnon bound states (BSs), i.e., the NN and NNN exchange BSs, are revealed. We establish a phase diagram in the $J_1/(…

Emergence of the $\pi(1300)$ Resonance from Lattice QCD
Haobo Yan, Maxim Mai, Marco Garofalo, Yuchuan Feng, Michael D\"oring, Chuan Liu, Liuming Liu, Ulf-G. Mei{\ss}ner, Carsten Urbach
https://arxiv.org/abs/2510.09476

Emergence of the $π(1300)$ Resonance from Lattice QCD
The mass of the lightest hadron in nature, the pion, is one seventh of that of the nucleon, and one tenth of the mass of its first excited state, the $π(1300)$. This enormous energy difference opens an interesting window into the confinement of quarks and the structure of the lightest hadrons. In this work, we provide the first calculation of resonance parameters of the $π(1300)$ from lattice QCD. For this purpose, recently derived state-of-the-art tools are adapted and applied both in the co…

Polyhedral surfaces in anti-de Sitter (2 1)-spacetimes
Roman Prosanov
https://arxiv.org/abs/2510.09313 https://arxiv.org/pdf/2510.09313

Polyhedral surfaces in anti-de Sitter (2+1)-spacetimes
We prove that given a Fuchsian representation $ρ_\circ: π_1S \rightarrow {\rm PSL}(2,\mathbb R)$, where $S$ is a closed oriented surface of genus $\geq 2$, any hyperbolic cone-metric on $S$ with cone-angles $>2π$ isometrically embeds as a future-convex bent Cauchy surface in a globally hyperbolic maximal Cauchy compact anti-de Sitter (2+1)-spacetime whose left representation is $ρ_\circ$. Furthermore, we show that such a spacetime and an embedding are unique provided that $d$ is sufficientl…

A Non-Trivial $(\mathbf{R}, )$ Principal Bundle over a Contractible Base
Patrick Iglesias-Zemmour
https://arxiv.org/abs/2508.08708 https://arxiv.org/pdf/25…

A Non-Trivial $(\mathbf{R},+)$ Principal Bundle over a Contractible Base
We present an explicit example of a non-trivial $(\mathbf{R},+)$ principal bundle $π: \mathrm{W}_α\to \mathrm{D}_α$ within the framework of diffeology, where the base space $\mathrm{D}_α$ is smoothly contractible. This stands in stark contrast to classical bundle theory over manifolds, where such bundles are always trivial, as well as principal fiber bundles with contractible fiber. The non-triviality is shown to stem from a fundamental obstruction to the existence of a smooth connection, i…

Complex Weyl correspondence for a generalized diamond group
Benjamin Cahen
https://arxiv.org/abs/2509.08082 https://arxiv.org/pdf/2509.08082

Complex Weyl correspondence for a generalized diamond group
The generalized diamond group is the semi-direct product $G$ of the abelian group ${\mathbb R}^m$ by the $(2n+1)$-dimensional Heisenberg group $H_n$. We construct the generic representations of $G$ on the Fock space by extending those of $H_n$. Then we study the Berezin correspondence and the complex Weyl correspondence in connection with a generic representation $π$ of $G$, proving in particular that these correspondences are covariant with respect to $π$. We give also some explicit formulas…

Flux Response of Rotation-Invariant Topological Insulators
Yechen Xun, Rui-Xing Zhang
https://arxiv.org/abs/2508.08357 https://arxiv.org/pdf/2508.08357

Flux Response of Rotation-Invariant Topological Insulators
Threading magnetic flux into topological phases can induce bound states that reveal intrinsic properties of the ground state. In a 3D $\mathbb{Z}_2$ topological insulator, a quantized $π$ flux traps a pair of 1D helical modes, whereas a trivial insulator hosts none. In this work, we show that in the presence of even-fold rotation symmetry $C_n$, a 3D band insulator features a refined $\mathbb{Z}_2 \times \mathbb{Z}_2$ classification of the flux response. Specifically, it can host two distinct …

Electrically Controlled 0-$\pi$ Oscillations and Josephson Giant Magnetoresistor with PT-Symmetric Antiferromagnetic Bilayers
Jin-Xin Hu, Mengli Hu, Ying-Ming Xie, K. T. Law
https://arxiv.org/abs/2509.08262

Electrically Controlled 0-$π$ Oscillations and Josephson Giant Magnetoresistor with PT-Symmetric Antiferromagnetic Bilayers
We propose that unconventional Josephson effects typically emerge in {\it PT}-symmetric antiferromagnetic (AFM) bilayer systems. When proximitized by a conventional superconductor, these systems host dominant interlayer Cooper pairing that features a distinctive spin texture enabled by the strong exchange field. Specifically, we demonstrate a novel mechanism for electrically tunable 0-$π$ oscillations in lateral Josephson junctions, controlled by an out-of-plane electric displacement field. Th…

Constrained PSLQ Search for Machin-like Identities Achieving Record-Low Lehmer Measures
Nick Craig-Wood
https://arxiv.org/abs/2508.08307 https://arxiv.org/…

Constrained PSLQ Search for Machin-like Identities Achieving Record-Low Lehmer Measures
Machin-like arctangent relations are classical tools for computing $π$, with efficiency quantified by the Lehmer measure ($λ$). We present a framework for discovering low-measure relations by coupling the PSLQ integer-relation algorithm with number-theoretic filters derived from the algebraic structure of Gaussian integers, making large scale search tractable. Our search yields new 5 and 6 term relations with record-low Lehmer measures ($λ=1.4572, λ=1.3291$). We also demonstrate how discove…

353-combinatorial curvature and the $3$-dimensional $K(\pi,1)$ conjecture
Jingyin Huang, Piotr Przytycki
https://arxiv.org/abs/2509.06914 https://arxiv.org…

353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture
We prove the $K(π,1)$ conjecture for Artin groups of dimension $3$. As an ingredient, we introduce a new form of combinatorial non-positive curvature.

Potential of the reaction $e^ e^-\to p\bar{p}\pi^0$ for constructing higher $\rho$-meson spectroscopy above 2.4 GeV
Dan Guo, Jun-Zhang Wang, Qin-Song Zhou
https://arxiv.org/abs/2509.07821

Potential of the reaction $e^+e^-\to p\bar{p}π^0$ for constructing higher $ρ$-meson spectroscopy above 2.4 GeV
The spectrum of light unflavored vector mesons above 2.4 GeV has not yet been firmly established experimentally. In this work, we demonstrate that the process $e^+e^- \to p\bar{p}π$ serves as a particularly promising channel as a probe for higher isovector $ρ$ excitations. In contrast to typical electron-positron annihilation processes into purely light-meson final states, the reaction $e^+e^- \to p\bar{p}π$ benefits from a relatively low continuum background, on the order of $(50\sim100)~\t…

Minimising length of closed billiard trajectories on hyperbolic polygons
John Parker, Manvendra Somvanshi
https://arxiv.org/abs/2508.08897 https://arxiv.or…

Minimising length of closed billiard trajectories on hyperbolic polygons
In a hyperbolic polygon any finite collection of closed billiard trajectories can be assigned an average length function. In this paper, we consider the average length of the collection of cyclically related closed billiard trajectories in even-sided right-angled polygons and the collection of reflectively related closed billiard trajectories in Lambert quadrilaterals with acute angle $π/k$. We show that in the former case the average length is minimised by the regular evensided right-angled p…

A note on the structural stability of almost one-to-one maps
Mar\'ia Isabel Cortez, Till Hauser
https://arxiv.org/abs/2509.23015 https://arxiv.org/pdf/…

A note on the structural stability of almost one-to-one maps
A continuous surjection $π:X\to Y$ between compact Hausdorff spaces induces continuous surjections $\mathcal{M}(π)\colon \mathcal{M}(X)\to\mathcal{M}(Y)$ and $\mathcal{H}(π): \mathcal{H}(X)\to\mathcal{H}(Y)$ between the spaces of regular Borel probability measures, and the spaces of closed subsets, respetively. It is well known that $\mathcal{H}(π)$ is irreducible if and only if $π$ is irreducible. We show that $\mathcal{M}(π)$ is irreducible if and only if $π$ is irreducible. Furthermor…

Bulk Weyl Asymptotics in the Edge Variable under Affine Spectral Encoding
Anton Alexa
https://arxiv.org/abs/2510.03238 https://arxiv.org/pdf/2510.03238

Bulk Weyl Asymptotics in the Edge Variable under Affine Spectral Encoding
We prove a Tauberian transfer principle showing that for any compact closed Riemannian manifold $(M^d,g)$ the affine spectral encoding $C=π-ελ$ transports Laplacian Weyl asymptotics to a Weyl law in the edge variable in the bulk regime $C\to-\infty$ (equivalently, $(π-C)/ε\to\infty$): $N_{μ_C}(C)\sim γ_d ε^{-d/2}(π-C)^{d/2}$ and $ρ_{\mathrm{bulk}}(C)\sim \frac{d}{2}γ_d ε^{-d/2}(π-C)^{(d-2)/2}$, so that $d$ and the Weyl constant $γ_d$ are recoverable from one-dimensional edge-varia…

Measurement of the space-like $\pi^0$ transition form factor
BESIII Collaboration, et al.
https://arxiv.org/abs/2509.07685 https://arxiv.org/pdf/2509.07685…

Measurement of the space-like $π^0$ transition form factor
Based on $2.93\,\text{fb}^{-1}$ of $e^+e^-$ collision data taken with the BESIII detector at a center-of-mass energy of $3.773\,\text{GeV}$, the two-photon fusion process $e^+e^-\to e^+e^-π^0$ is investigated using a single-tag approach. The differential Born cross section $\text{d}σ/\text{d}Q^2$ and the space-like transition form factor $|F(Q^2)|$ of the $π^0$ are measured as functions of the squared momentum transfer $Q^2$ of the tagged, scattered lepton. The measurement covers t…

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An improved lower bound for star-shaped Kakeya sets
Shaoqi Li
https://arxiv.org/abs/2509.05711 https://arxiv.org/pdf/2509.05711

An improved lower bound for star-shaped Kakeya sets
In 1971, Cunningham proved that every star-shaped Kakeya set $E\subset\mathbb{R}^2$ satisfies $|E| \geq π/108$. In this paper, we show that Cunningham's bound is not optimal and can be improved to $|E| \geq π/98$.

Semiclassical tunneling for some 1D Schr\"odinger operators with complex-valued potentials
Martin Averseng, Nicolas Frantz, Fr\'ed\'eric H\'erau, Nicolas Raymond
https://arxiv.org/abs/2510.04296

Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials
We consider the non-selfadjoint, semiclassical Schrödinger operator $\mathscr{L}(h) := -h^2\partial_x^2+e^{iα}V$, where $α\in (-π,π)$ and $V: \mathbb{R}\to \mathbb{R}_+$ is even and vanishes at exactly two (symmetric) non-degenerate minima. We establish a semiclassical tunneling result: the spectrum of $\mathscr{L}(h)$ near the origin is given by a sequence of algebraically simple eigenvalues which come in exponentially close pairs (within a $\mathscr{O}(e^{-S/h})$ distance where $S > 0$ i…

Central limit theorem and Cram\'{e}r-type moderate deviations for Milstein scheme
Peng Chen, Hui Jiang, Jing Wang
https://arxiv.org/abs/2510.03053 https://

Central limit theorem and Cramér-type moderate deviations for Milstein scheme
In this paper, we investigate the Milstein numerical scheme with step size $η$ for a stochastic differential equation driven by multiplicative Brownian motion. Under some appropriate coefficient conditions, the continuous-time system and its discrete Milstein scheme approximation each possess unique invariant measures, which we denote by $π$ and $π_η$ respectively. We first establish a central limit theorem for the empirical measure $Π_η$, a statistical consistent estimator of $π_η$. Su…

Coalition graphs of connected domination partitions in subcubic graphs
Andrey A. Dobrynin, Aleksey N. Glebov
https://arxiv.org/abs/2509.04204 https://arxiv…

Coalition graphs of connected domination partitions in subcubic graphs
A graph is subcubic if it is connected and its maximum vertex degree does not exceed 3. Two disjoint vertex subsets of a graph $G$ form a connected coalition in $G$ if neither of them is a connected dominating set but their union is a connected dominating set. A connected coalition partition of $G$ is a partition of its vertices $π(G) = \{V_1, V_2,..., V_k \}$, such that each $V_i$ is either a connected dominating set consisting of a single vertex or forms a coalition with some set of $π(G)$.…

Conic optimization for extremal geometry
Frank Vallentin
https://arxiv.org/abs/2510.06960 https://arxiv.org/pdf/2510.06960…

Conic optimization for extremal geometry
The aim of this paper is to highlight recent progress in using conic optimization methods to study geometric packing problems. We will look at four geometric packing problems of different kinds: two on the unit sphere -- the kissing number problem and measurable $π/2$-avoiding sets -- and two in Euclidean space -- the sphere packing problem and measurable one-avoiding sets.

Study of charm mixing and CP violation with $D^0\to K^\pm\pi^\mp\pi^\pm\pi^\mp$ decays
LHCb collaboration, et al.
https://arxiv.org/abs/2510.04963 https://…

Study of charm mixing and CP violation with $D^0\to K^\pmπ^\mpπ^\pmπ^\mp$ decays
A study of charm mixing and CP violation in $D^0\to K^\pmπ^\mpπ^\pmπ^\mp$ decays is performed using data collected by the LHCb experiment in proton-proton collisions from 2015 to 2018, corresponding to an integrated luminosity of 6$\text{fb}^{-1}$. The ratio of promptly produced $D^0\to K^+π^- π^+π^-$ to $D^0\to K^-π^+ π^-π^+$ decay rates is measured as a function of $D^0$ decay time, both inclusive over phase space and in bins of phase space. Taking external inputs for the $D^0 -\over…

Phonon-Limited Mobility in H/F-functionalized Nanotubes with 1D $\pi$-chains
V. L. Katkov, V. A. Osipov
https://arxiv.org/abs/2509.07714 https://arxiv.org/…

Phonon-Limited Mobility in H/F-functionalized Nanotubes with 1D $π$-chains
Electron mobility due to electron-phonon interaction is investigated for fully fluorinated/hydrogenated zig-zag carbon nanotubes containing one-dimensional alternating chains of carbon atoms with $π$-bonds. The behavior of mobility associated with changes in the tube diameter, coating type (F/H) and temperature is revealed. In particular, it is shown that the dependence of mobility on the diameter in such tubes is periodic with the chirality index, which is associated with the absence of scatt…

A First Context-Free Grammar Applied to Nawatl Corpora Augmentation
Juan-Jos\'e Guzm\'an-Landa, Juan-Manuel Torres-Moreno, Miguel Figueroa-Saavedra, Ligia Quintana-Torres, Martha-Lorena Avenda\~no-Garrido, Graham Ranger
https://arxiv.org/abs/2510.04945

A First Context-Free Grammar Applied to Nawatl Corpora Augmentation
In this article we introduce a context-free grammar (CFG) for the Nawatl language. Nawatl (or Nahuatl) is an Amerindian language of the $π$-language type, i.e. a language with few digital resources, in which the corpora available for machine learning are virtually non-existent. The objective here is to generate a significant number of grammatically correct artificial sentences, in order to increase the corpora available for language model training. We want to show that a grammar enables us sig…

Charge asymmetry in the process $e^ e^-\to \pi^ \pi^-\pi^0\gamma$
I. V. Obraztsov, A. S. Rudenko, A. I. Milstein
https://arxiv.org/abs/2509.03245 https://a…

Charge asymmetry in the process $e^+e^-\to π^+π^-π^0γ$
The charge asymmetry in the process $e^+e^-\to π^+π^-π^0γ$ is studied for photons with energies $ν\ll\sqrt{s}$. The longitudinal polarization of electrons (positrons) is taken into account. The asymmetry arises due to interference of the amplitudes for production of pion states with opposite $C$ parities. The contribution of $a_1^0(1260)$ meson in the intermediate state to the charge asymmetry is discussed. This contribution is not the leading one, however it is not negligible. It is shown…

An Inertial Langevin Algorithm
Alexander Falk, Andreas Habring, Christoph Griesbacher, Thomas Pock
https://arxiv.org/abs/2510.06723 https://arxiv.org/pdf/2…

An Inertial Langevin Algorithm
We present a novel method for drawing samples from Gibbs distributions with densities of the form $π(x) \propto \exp(-U(x))$. The method accelerates the unadjusted Langevin algorithm by introducing an inertia term similar to Polyak's heavy ball method, together with a corresponding noise rescaling. Interpreting the scheme as a discretization of \emph{kinetic} Langevin dynamics, we prove ergodicity (in continuous and discrete time) for twice continuously differentiable, strongly convex, and $L$…

Some results on evolutoids of convex curves in $2$-dimensional space forms
Ady Cambraia Junior, Alessandro Gaio Chimenton, Marco Ant\^onio do Couto Fernandes, Mostafa Salarinoghabi
https://arxiv.org/abs/2510.07274

Some results on evolutoids of convex curves in $2$-dimensional space forms
Let $M_c$ be a $2$-dimensional space form of constant curvature $c=-1,0,1$ and $γ$ a smooth, closed, convex curve in $M_c$. We explicitly parametrize the \textit{$α$-evolutoid} of $γ$, i.e.\ the closed curve $γ_α$ describing the envelope of all geodesics $σ_s=σ_s(t)$ such that $σ_s(0)=γ(s)$ and $\sphericalangle(σ_s'(0),γ'(s))=α$, with $α\in[0,π/2]$ fixed and determine its lenght. Also, we deduce that for each $s$ the points $γ(s),γ_α(s),γ_{π/2}(s)$ belong to a distinct geodes…

Agnostic Product Mixed State Tomography via Robust Statistics
Alvan Arulandu, Ilias Diakonikolas, Daniel Kane, Jerry Li
https://arxiv.org/abs/2510.08472 https://

Agnostic Product Mixed State Tomography via Robust Statistics
We consider the problem of agnostic tomography with \emph{mixed state} ansatz, and specifically, the natural ansatz class of product mixed states. In more detail, given $N$ copies of an $n$-qubit state $ρ$ which is $ε$-close to a product mixed state $π$, the goal is to output a nearly-optimal product mixed state approximation to $ρ$. While there has been a flurry of recent work on agnostic tomography, prior work could only handle pure state ansatz, such as product states or stabilizer state…

Rigidity for compact hyperbolic complex manifolds
Mu-Lin Li, Sheng Rao, Mengjiao Wang
https://arxiv.org/abs/2509.05707 https://arxiv.org/pdf/2509.05707

Rigidity for compact hyperbolic complex manifolds
We study the deformation behavior of compact hyperbolic complex manifolds. Let $π:\mathcal{X}\rightarrow Δ$ be a smooth family of compact complex manifolds over the unit disk in $\mathbb{C}$, and $H$ a compact hyperbolic complex manifold. Then the $H$-locus $\{t\inΔ: X_t\cong H\}$ is either at most a discrete subset of $Δ$ or the whole $Δ$. For a smooth family over a compact Riemann surface $Y$, its $H$-locus is either at most finite or the whole $Y$. Furthermore, if $Y$ is isomorphic to $…

Weakly Strongly 2-Nil-Clean Rings
Peter Danchev, Mina Doostalizadeh, Ahmad Moussavi
https://arxiv.org/abs/2509.05673 https://arxiv.org/pdf/2509.05673

Weakly Strongly 2-Nil-Clean Rings
In this paper, we introduce and explore in-depth the notion of {\it weakly strongly 2-nil-clean rings} as a common non-trivial generalization of both strongly 2-nil-clean rings and strongly weakly nil-clean rings as defined and studied by Chen-Sheibani in the J. Algebra \& Appl. (2017). We, specifically, succeeded to prove that any weakly strongly 2-nil-clean ring is strongly $π$-regular and, concretely, it decomposes as the direct product of a strongly 2-nil-clean ring and a ring of the type …

A note on higher integrability of projections
Tuomas Orponen
https://arxiv.org/abs/2509.06474 https://arxiv.org/pdf/2509.06474

A note on higher integrability of projections
Let $t \in [1,2)$ and $p > 2/(2 - t)$. I construct a $t$-Frostman Borel measure $μ$ on $[0,1]^{2}$ such that $π_θμ\notin L^{p}$ for every $θ\in S^{1}$. This answers a question of Peres and Schlag.

Application of a new iterative formula for computing $\pi$ and nested radicals with roots of $2$
Sanjar M. Abrarov, Rehan Siddiqui, Rajinder Kumar Jagpal, Brendan M. Quine
https://arxiv.org/abs/2509.25221

Application of a new iterative formula for computing $π$ and nested radicals with roots of $2$
In this work, we obtain an iterative formula that can be used for computing digits of $π$ and nested radicals of kind $c_n/\sqrt{2 - c_{n - 1}}$, where $c_0 = 0$ and $c_n = \sqrt{2 + c_{n - 1}}$. We also show how with help of this iterative formula the two-term Machin-like formulas for $π$ can be generated and approximated. Some examples with Mathematica codes are presented.

The Chow ring of a sequence of point and rational curve blow-ups
Daniel Camaz\'on Portela
https://arxiv.org/abs/2509.23138 https://arxiv.org/pdf/2509.2…

The Chow ring of a sequence of point and rational curve blow-ups
Given a sequence of point and rational curve blow-ups blow-ups of smooth $3-$dimensional projective varieties $Z_{i}$ defined over an algebraically closed field $\mathit{k}$, $Z_{s}\xrightarrow{π_{s}} Z_{s-1}\xrightarrow{π_{s-1}}\cdot\cdot\cdot\xrightarrow{π_{2}} Z_{1}\xrightarrow{π_{1}} Z_{0}$, with $Z_{0}\cong\mathbb{P}^{3}$, we give an explicit presentations of the Chow ring $A^{\bullet}(Z_{s})$ of its sky. We prove that, in contrast to the case of sequences of point blow-ups, the skies …

On the $IC$-$\Pi$-property of subgroups of finite groups
Zhengtian Qiu, Shouhong Qiao
https://arxiv.org/abs/2510.08426 https://arxiv.org/pdf/2510.08426

On the $IC$-$Π$-property of subgroups of finite groups
Let $ H $ be a subgroup of a finite group $ G $. We say that $ H $ satisfies the $ Π$-property in $ G $ if $ | G/K : N_{G/K}((H \cap L)K/K)| $ is a $ π(( H \cap L)K/K ) $-number for any chief factor $ L/K $ of $ G $; and we call that $ H $ satisfies the $ IC $-$ Π$-property in $ G $ if $ H\cap [H, G] $ satisfies the $ Π$-property in $ G $. In this paper, we obtain a criterion of a normal subgroup being contained in the $ p\mathfrak{U} $-hypercenter of a finite group by the $IC$-$ …

Internal languages of locally cartesian closed $(\infty,1)$-categories
El Mehdi Cherradi
https://arxiv.org/abs/2509.03371 https://arxiv.org/pdf/2509.03371

Internal languages of locally cartesian closed $(\infty,1)$-categories
We establish a DK-equivalence between the relative category of $π$-tribes and the relative category of locally cartesian closed quasicategories. From this follows one of the internal languages conjecture: Martin-Löf type theory with dependent sums, intensional identity types, and dependent products satisfying functional extensionality is the internal language of locally cartesian closed $(\infty,1)$-categories.

How large is the braid monodromy of low-genus Lefschetz fibrations?
Faye Jackson
https://arxiv.org/abs/2510.04389 https://arxiv.org/pdf/2510.04389

How large is the braid monodromy of low-genus Lefschetz fibrations?
Given a genus $g$ smooth Lefschetz fibration $π: M \to S^2$ with singular locus $Δ\subseteq S^2$, we describe the subgroup $\operatorname{Br}(π)$ of the spherical braid group $\operatorname{Mod}(S^2,Δ)$ consisting of braids admitting a lift to a fiber-preserving diffeomorphism of $M$. We develop general methods for showing that the index $[\operatorname{Mod}(S^2,Δ) : \operatorname{Br}(π)]$ is infinite. As an application of our methods, we prove that $[\operatorname{Mod}(S^2,Δ) : \operato…

On cusps in the $\eta'$ potential
Ryuichiro Kitano, Ryutaro Matsudo, Lukas Treuer
https://arxiv.org/abs/2508.20372 https://arxiv.org/pdf/2508.20372

On cusps in the $η'$ potential
The large $N$ analysis of QCD states that the potential for the $η'$ meson develops cusps at $η' = π/ N_f$, $3 π/N_f$, $\cdots$, with $N_f$ the number of flavors. Furthermore, the recent discussion of generalized anomalies tells us that even for finite $N$ there should be cusps if $N$ and $N_f$ are not coprime, as one can show that the domain wall configuration of $η'$ should support a Chern-Simons theory on it, i.e., domains are not smoothly connected. On the other hand, there is a suppor…

A new elementary proof of the formula $\sum\limits_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$
Jia Li
https://arxiv.org/abs/2510.03233 https://arxiv.org/p…

A new elementary proof of the formula $\sum\limits_{n=1}^{\infty}\frac{1}{n^2}=\frac{π^2}{6}$
In this article, we provide a new elementary proof of the Basel problem.

Hyperon-Production Studies in $ p p \rightarrow \Lambda K^0_S p \pi^ $ with HADES
Snehankit Pattnaik, Johan Messchendorp, James Ritman
https://arxiv.org/abs/2509.04937 ht…

Hyperon-Production Studies in $ p+p \rightarrow Λ+ K^0_S + p + π^+ $ with HADES
The production mechanism of hyperons in the proton-proton collisions is explored using exclusive process with the data sample collected by HADES. The clear sign for three intermediate resonances is observed using simulated samples. It opens possibility for further detailed research.

On Discovering Algorithms for Adversarial Imitation Learning
Shashank Reddy Chirra, Jayden Teoh, Praveen Paruchuri, Pradeep Varakantham
https://arxiv.org/abs/2510.00922 https://…

On Discovering Algorithms for Adversarial Imitation Learning
Adversarial Imitation Learning (AIL) methods, while effective in settings with limited expert demonstrations, are often considered unstable. These approaches typically decompose into two components: Density Ratio (DR) estimation $\frac{ρ_E}{ρ_π}$, where a discriminator estimates the relative occupancy of state-action pairs under the policy versus the expert; and Reward Assignment (RA), where this ratio is transformed into a reward signal used to train the policy. While significant research h…

Observation of a resonance-like structure near the $\pi^ \pi^-$ mass threshold in $\psi(3686) \rightarrow \pi^{ }\pi^{-}J/\psi$
BESIII Collaboration, et al.
https://arxiv.org/abs/2509.23761

Observation of a resonance-like structure near the $π^+π^-$ mass threshold in $ψ(3686) \rightarrow π^{+}π^{-}J/ψ$
Based on the $(2712.4\pm14.4)\times 10^{6}$ $ψ(3686)$ events collected with the BESIII detector, we present a high-precision study of the $π^+π^-$ mass spectrum in $ψ(3686)\rightarrowπ^{+}π^{-}J/ψ$ decays. A clear resonance-like structure is observed near the $π^+π^-$ mass threshold for the first time. A fit with a Breit-Wigner function yields a mass of $285.6\pm 2.5~{\rm MeV}/c^2$ and a width of $16.3\pm 0.9~{\rm MeV}$ with a statistical significance exceeding 10$σ$. To interpret the…

from my link log —
Lecture notes on the π-calculus and Concurrent ML.
https://www.cs.cmu.edu/~fp/courses/15312-f04/handouts/26-picalc.pdf
saved 2025-07-26

The $\pi$-property of a Banach space along a filter
Tomasz Kania, Jaros{\l}aw Swaczyna
https://arxiv.org/abs/2508.21242 https://arxiv.org/pdf/2508.21242

The $π$-property of a Banach space along a filter
We examine the analyticity of the class of separable Banach spaces possessing the $π$-property, defined in terms of convergence along a filter. Our results establish that this class is $Σ^1_3$ whenever the underlying filter is analytic (as a subset of the Cantor set $Δ$). Furthermore, we demonstrate that if the filter is countably generated, the class of such spaces is $Σ^1_2$ with respect to any admissible Polish topology on the family of closed subspaces of $C(Δ)$.

A Bayesian Characterization of Ensemble Kalman Updates
Frederic J. N. Jorgensen, Youssef M. Marzouk
https://arxiv.org/abs/2510.00158 https://arxiv.org/pdf/…

A Bayesian Characterization of Ensemble Kalman Updates
The update in the Ensemble Kalman Filter (EnKF), called the Ensemble Kalman Update (EnKU), is widely used for Bayesian inference in inverse problems and data assimilation. At each filtering step, it approximates the solution to a likelihood-free Bayesian inversion from an ensemble of particles $(X_i,Y_i)\simπ$ sampled from a joint measure $π$ and an observation $y_\ast\in\mathbb{R}^m$. The posterior $π_{X|Y=y_\ast}$ is approximated by transporting $(X_i,Y_i)$ through an affine map $L^{\…

Gathering of asynchronous robots on circle with limited visibility using finite communication
Avisek Sharma, Satakshi Ghosh, Buddhadeb Sau
https://arxiv.org/abs/2509.04004 https…

Gathering of asynchronous robots on circle with limited visibility using finite communication
This work addresses the gathering problem for a set of autonomous, anonymous, and homogeneous robots with limited visibility operating in a continuous circle. The robots are initially placed at distinct positions, forming a rotationally asymmetric configuration. The robots agree on the clockwise direction. In the $θ$-visibility model, a robot can only see those robots on the circle that are at an angular distance $<θ$ from it. Di Luna \textit{et. al.} [DISC'20] have shown that, in $π/2$ visi…

An analogue of the Erd{\H o}s Matching Conjecture for permutations with fixed number of cycles
Cheng Yeaw Ku, Kok Bin Wong
https://arxiv.org/abs/2508.17683 https://

An analogue of the Erd{\H o}s Matching Conjecture for permutations with fixed number of cycles
Let $S_{n}$ denote the set of permutations of $[n]=\{1,2,\dots, n\}$. For each integer $k\geq 1$, let $S_{n,k}$ be the set of all permutations of $[n]$ with exactly $k$ disjoint cycles. A subset $H\subseteq S_{n,k}$ is to be a matching if $π_1$ and $π_2$ do not have any common cycles for all distinct $π_1,π_2\in H$. The matching number of a family $\mathcal A\subseteq S_{n,k}$ is denoted by $ν_{p}(\mathcal A)$ and is defined to be the size of the largest matching in $\mathcal A$. In this…

Field-induced condensation of $\pi$ to 2$\pi$ soliton lattices in chiral magnets
M. Winter, A. Pignedoli, M. C. Rahn, A. S. Sukhanov, B. Achinuq, J. R. Bollard, M. Azhar, K. Everschor-Sitte, D. Pohl, S. Schneider, A. Tahn, V. Ukleev, M. Valvidares, A. Thomas, D. Wolf, P. Vir, T. Helm, G. van der Laan, T. Hesjedal, J. Geck, C. Felser, B. Rellinghaus
https://

Field-induced condensation of $π$ to 2$π$ soliton lattices in chiral magnets
Chiral soliton lattices (CSLs) are nontrivial spin textures that emerge from the competition between Dzyaloshinskii-Moriya interaction, anisotropy, and magnetic fields. While well established in monoaxial helimagnets, their role in materials with anisotropic, direction-dependent chirality remains poorly understood. Here, we report the direct observation of a tunable transition from $π$ to 2$π$ soliton lattices in the non-centrosymmetric Heusler compound Mn1.4PtSn. Using Lorentz transmission e…

INSIGHT: INference-time Sequence Introspection for Generating Help Triggers in Vision-Language-Action Models
Ulas Berk Karli, Ziyao Shangguan, Tesca FItzgerald
https://arxiv.org/abs/2510.01389

INSIGHT: INference-time Sequence Introspection for Generating Help Triggers in Vision-Language-Action Models
Recent Vision-Language-Action (VLA) models show strong generalization capabilities, yet they lack introspective mechanisms for anticipating failures and requesting help from a human supervisor. We present \textbf{INSIGHT}, a learning framework for leveraging token-level uncertainty signals to predict when a VLA should request help. Using $π_0$-FAST as the underlying model, we extract per-token \emph{entropy}, \emph{log-probability}, and Dirichlet-based estimates of \emph{aleatoric and epistemi…

$\pi_1$ of trigonal loci of strata of abelian differentials
Michael L\"onne
https://arxiv.org/abs/2510.06364 https://arxiv.org/pdf/2510.06364

$π_1$ of trigonal loci of strata of abelian differentials
We investigate locally closed subspaces of projectivized strata of abelian differentials which classify trigonal curves with canonical divisor a multiple of a trigonal divisor. We describe their orbifold structure using linear systems on Segre-Hirzebruch surfaces and obtain results for their orbifold fundamental groups. Most notable among these orbifolds is the connected component $\mathbf P\mathcal H^{ev}_4(6)$, the projectivisation of the space $\mathcal H^{ev}_4(6)$ of abelian differential…

Ramsey Interferometry with Qudits
Branislav Ilikj, Nikolay V. Vitanov
https://arxiv.org/abs/2509.06290 https://arxiv.org/pdf/2509.06290

Ramsey Interferometry with Qudits
Ramsey interferometry, a cornerstone technique in quantum spectroscopy, traditionally operates with qubits for high precision measurements. In this work we build on Ramsey interferometry, extending it to qudits in Wigner-Majorana (WM) systems where the internal degrees of freedom are used to achieve enhanced resolution. We also show that replacing the two $π/2$ pulses of standard Ramsey interferometry with the quantum Fourier transform provides no increase in resolution. Theoretical analysis f…

A model-independent measurement of the CKM angle $\gamma$ in the decays $B^\pm\to[K^ K^-\pi^ \pi^-]_D h^\pm$ and $B^\pm\to[\pi^ \pi^-\pi^ \pi^-]_D h^\pm$ ($h = K, \pi$)
LHCb collaboration, et al.
https://arxiv.org/abs/2509.15139

A model-independent measurement of the CKM angle $γ$ in the decays $B^\pm\to[K^+K^-π^+π^-]_D h^\pm$ and $B^\pm\to[π^+π^-π^+π^-]_D h^\pm$ ($h = K, π$)
A model-independent determination of the CKM angle $γ$ is presented, using the $B^\pm\to[K^+K^-π^+π^-]_D h^\pm$ and $B^\pm\to[π^+π^-π^+π^-]_D h^\pm$ decays, with $h=K,π$. This measurement is the first phase-space-binned study of these decay modes, and uses a sample of proton-proton collision data collected by the LHCb experiment, corresponding to an integrated luminosity of $9$fb$^{-1}$. The phase-space bins are optimised for sensitivity to $γ$, and in each bin external inputs from the…

Tribute to Henry Primakoff: Chiral Perturbation Theory Tests via Primakoff Reactions
Murray Moinester
https://arxiv.org/abs/2509.04649 https://arxiv.org/pd…

Tribute to Henry Primakoff: Chiral Perturbation Theory Tests via Primakoff Reactions
Consider the scattering of GeV energy beam particles off the Coulomb field of a nucleus. In this context, the Coulomb field behaves like a target of $γ^*$ virtual photons, with the target density being proportional to Z$^2$. Henry Primakoff was the first to describe how to determine the $π^0$ lifetime by measuring the production cross section for the process $γγ^* \rightarrow π^0$. When a $γ$ ray beam is used, Primakoff scattering is effectively represents $γγ^*$ scattering involving hu…

Generalized Segal-Bargmann transform for Poisson distribution revisited
Chadaphorn Kodsueb, Eugene Lytvynov
https://arxiv.org/abs/2508.19038 https://arxiv.…

Generalized Segal-Bargmann transform for Poisson distribution revisited
For $α>0$ and $σ> 0$, we consider the following probability distribution on $α\mathbb N_0$: $π_{α,σ} = \exp \big(- \fracσ{α^2}\big) \sum_{n=0}^{\infty} \frac{1}{n!} \big(\fracσ{α^2}\big)^n δ_{αn}$, where $δ_y$ denotes the Dirac measure with mass at $y$. For $α=1$, $π_{1,σ}$ is the Poisson distribution with parameter $σ$. Furthermore, the centered probability distribution $\tilde π_{α,σ} = \exp \big(- \fracσ{α^2}\big) \sum_{n=0}^{\infty} \frac{1}{n!} \big(\fracσ{α^2}\big)…

Giant and robust Josephson diode effect in multiband topological nanowires
Bao-Zong Wang, Zi-Kai Li, Zhong-Da Li, Xiong-Jun Liu
https://arxiv.org/abs/2510.05772 https://

Giant and robust Josephson diode effect in multiband topological nanowires
We theoretically predict the giant and robust Josephson diode effect in quasi-one-dimensional topological Majorana nanowires in the regime with multiple subbands, which is expected to be relevant for the real experiment. In the multiband regime, the Majorana bound states and conventional Andreev bound states can naturally coexist, and respectively contribute to the fractional and conventional parts in the Josephson effect, with the former/latter having 4$π$/2$π$-periodicity. We show that the …

Dissociation of bulk and entanglement phase transitions in the Haldane phase
Yu-Chin Tzeng, Gunnar M\"oller
https://arxiv.org/abs/2509.03588 https://a…

Dissociation of bulk and entanglement phase transitions in the Haldane phase
We revisit the momentum-resolved entanglement spectrum (ES) of the spin-1/2 ladder in the Haldane phase, long believed to exhibit a des Cloizeaux-Pearson (dCP)-type $\sin|k|$ dispersion. Using exact diagonalization up to 40 spins, we resolve two distinct branches at $k=0$ and $k=π$, which were previously interpreted as a single smooth mode due to SU(2) degeneracy and limited resolution. Breaking SU(2) symmetry via XXZ anisotropy opens a spin or neutral gap at $k=π$, depending on the…

Combining relatively hyperbolic groups over a complex of groups
Darius Alizadeh
https://arxiv.org/abs/2510.02602 https://arxiv.org/pdf/2510.02602

Combining relatively hyperbolic groups over a complex of groups
Given a complex of groups $G(\mathcal{Y}) = (G_σ, ψ_a, g_{a,b})$ where all $G_σ$ are relatively hyperbolic, the $ψ_a$ are inclusions of full relatively quasiconvex subgroups, and the universal cover $X$ is CAT$(0)$ and $δ$--hyperbolic, we show $π_1(G(\mathcal{Y}))$ is relatively hyperbolic. The proof extends the work of Dahmani and Martin by constructing a model for the Bowditch boundary of $π_1(G(\mathcal{Y}))$. We prove the model is a compact metrizable space on which $G$ acts as a geo…

Group-averaged Markov chains: mixing improvement
Michael C. H. Choi, Youjia Wang
https://arxiv.org/abs/2509.02996 https://arxiv.org/pdf/2509.02996

Group-averaged Markov chains: mixing improvement
For Markov kernels $P$ on a general state space $\mathcal{X}$, we introduce a new class of averaged Markov kernels $P_{da}(G,ν)$ of $P$ induced by a group $G$ that acts on $\mathcal{X}$ and a probability measure $ν$ on $G \times G$. Notable special cases are the group-orbit average $\overline{P}$, left-average $P_{la}$, right-average $P_{ra}$ and the independent-double-average $(P_{la})_{ra}$. For $π$-stationary $P$ in which $π$ is invariant with respect to $G$, we show that in general $P_{…

$\mathrm{GL}_n$ large sieves and density estimates via positive semi-definiteness
Alexandru Pascadi, Jesse Thorner
https://arxiv.org/abs/2508.14888 https://

$\mathrm{GL}_n$ large sieves and density estimates via positive semi-definiteness
Let $\mathfrak{F}_n$ be the set of unitary cuspidal automorphic representations of $\mathrm{GL}_n$ over a number field $F$, and let $\mathcal{S}\subseteq\mathfrak{F}_n$ be a finite subset. Given $π_0\in\mathfrak{F}_{n_0}$, we establish large sieve inequalities for the families $\{L(s,π)\colon π\in\mathcal{S}\}$ and $\{L(s,π\timesπ_0)\colon π\in\mathcal{S}\}$ that, unlike previous results, are independent of progress towards the generalized Ramanujan conjecture and simultaneously handle th…

Partial-wave decomposition of the diffractively produced $\pi^-\pi^ \pi^-\eta$ final state at COMPASS
David Sp\"ulbeck (for the COMPASS Collaboration)
https://arxiv.org/abs/2508.18908

Partial-wave decomposition of the diffractively produced $π^-π^+π^-η$ final state at COMPASS
One of the prime goals of the COMPASS experiment at CERN is the study of the light meson spectrum, with a particular emphasis on the search for exotic states. We present the first high-statistics partial-wave decomposition of the diffractive reaction $π^-+p\to π^-π^+π^-η+p$, which spans a wide range of decay channels, such as $f_1(1285)π^-$, $a_2^-(1320)η$, $η^\primeπ^-$, and $ρ(770)a_0^-(980)$. This analysis also includes decay channels, i.e. $f_1(1285)π^-$ and $η^\primeπ^-$, pred…

On Hardy spaces, univalent functions and the second coefficient
Martin Chuaqui, Iason Efraimidis, Rodrigo Hern\'andez
https://arxiv.org/abs/2510.05395 https://

On Hardy spaces, univalent functions and the second coefficient
We consider normalized univalent functions with prescribed second Taylor coefficient $a_2$. For convex functions $f$ we study the Hardy spaces to which $f$ and $f'$ belong, refining in particular on a theorem of Eenigenburg and Keogh, and give a sharp asymptotic estimate and an explicit uniform bound for their coefficients. Relating the lower order of a convex function to the angle at infinity of its range we deduce that its range lies always in some sector of aperture $|a_2|π$. We g…

A comprehensive study of $\Lambda_c^- \to \Lambda (\to p \pi) \mu^- \bar \nu_{\mu}$ incorporating SMEFT implications and right-handed neutrino
Priyanka Boora, Siddhartha Karmakar, Dinesh Kumar, Kavita Lalwani
https://arxiv.org/abs/2510.05050

A comprehensive study of $Λ_c^- \to Λ(\to p π) μ^- \bar ν_μ$ incorporating SMEFT implications and right-handed neutrino
Charm baryon decays provide a complementary probe of new physics beyond the Standard Model. We study the decay $Λ_c^- \to Λ(p π) μ^- \bar ν_μ$ in a model-independent effective field theory framework. This study covers both the left-handed and right-handed neutrino interactions in the $c \to s μν_μ$ transition. For the left-handed neutrino operators, we incorporate the implications of the Standard Model effective field theory and do a global fit considering several observables sensitive…

On Discovering Algorithms for Adversarial Imitation Learning
Shashank Reddy Chirra, Jayden Teoh, Praveen Paruchuri, Pradeep Varakantham
https://arxiv.org/abs/2510.00922 https://…

On Discovering Algorithms for Adversarial Imitation Learning
Adversarial Imitation Learning (AIL) methods, while effective in settings with limited expert demonstrations, are often considered unstable. These approaches typically decompose into two components: Density Ratio (DR) estimation $\frac{ρ_E}{ρ_π}$, where a discriminator estimates the relative occupancy of state-action pairs under the policy versus the expert; and Reward Assignment (RA), where this ratio is transformed into a reward signal used to train the policy. While significant research h…

Whitehead doubling, rank estimate and nonembeddability of contractible open manifolds
Shijie Gu, Jian Wang, Yanqing Zou
https://arxiv.org/abs/2510.06598 https://

Whitehead doubling, rank estimate and nonembeddability of contractible open manifolds
Let $K$ be a nontrivial knot. For each $n\in \mathbb{N}$, we prove that the rank of its $n$th iterated Whitehead doubled knot group $π_1(S^3 \setminus \operatorname{WD}^n(K))$ is bounded below by $n+1$. As an application, we show that there exist infinitely many non-homeomorphic contractible open $n$-manifolds ($n\geq 3$) which cannot embed in a compact, locally connected and locally 1-connected $n$-dimensional metric space.

Measurement of time-dependent $CP$ asymmetries in $B^0 \to K_{\rm S}^0 \: \pi^{ } \pi^{-} \gamma$ decays at Belle and Belle II
, Collaborations, , Abumusabh, Adachi, Aggarwal, Ahmed, Ahn, Aihara, Akopov, Alghamdi, Alhakami, Amos, Ky, Asner, Atmacan, Aushev, Ayad, Babu, Bahinipati, Bambade, Banerjee, Barrett, Bartl, Baudot, Beaubien, Becherer, Becker, Bennett, Bertacchi, Bertholet, Bessner, Bettarini, Bhardwaj, Bhuyan, Bianchi, Bilka, Biswas, Bobrov, Bodrov, Borah, Boschetti, Bozek, Bra…

Measurement of time-dependent $CP$ asymmetries in $B^0 \to K_{\rm S}^0 \: π^{+} π^{-} γ$ decays at Belle and Belle II
We present a measurement of the time-dependent $CP$ asymmetry in $B^0 \to K_{\rm S}^0 \: π^{+} π^{-} γ$ decays using a data set of 365 fb$^{-1}$ recorded by the Belle II experiment and the final data set of 711 fb$^{-1}$ recorded by the Belle experiment at the ${\rm Υ(4S)}$ resonance. The direct and mixing-induced time-dependent $CP$ violation parameters $C$ and $S$ are determined along with two additional quantities, $S^{+}$ and $S^{-}$, defined in the two halves of the $m^2(K_{\rm S}^0 π…

Exceptional zeros of $\mathrm{GL}_3\times\mathrm{GL}_3$ Rankin-Selberg $L$-functions
Jesse Thorner
https://arxiv.org/abs/2508.09984 https://arxiv.org/pdf/2…

Exceptional zeros of $\mathrm{GL}_3\times\mathrm{GL}_3$ Rankin-Selberg $L$-functions
Let $χ$ be an idele class character over a number field $F$, and let $π,π'$ be any two cuspidal automorphic representations of $\mathrm{GL}_2(\mathbb{A}_F)$. We prove that the Rankin-Selberg $L$-function $L(s,\mathrm{Sym}^2(π)\times(\mathrm{Sym}^2 (π')\otimesχ))$ has a "standard" zero-free region with no exceptional Landau-Siegel zero except possibly when it is divisible by the $L$-function of a real idele class character. In particular, no such zero exists if $π$ is non-dihedral and $π…

Quantum Entanglement without Spin-Analyzing Power Dependence at the Colliders
Junle Pei, Tianjun Li, Lina Wu, Xiqing Hao, Xiaochuan Wang
https://arxiv.org/abs/2510.08031 https:/…

Quantum Entanglement without Spin-Analyzing Power Dependence at the Colliders
We study the quantum entanglement at the colliders which is independent of the spin-analyzing powers. Taking $Λ(\to pπ^-)\barΛ(\to \bar{p}π^+)$ as an example, we investigate whether quantum entanglement in fermion pairs produced at colliders can be certified by using only angular information from final-state decays, while remaining independent of the parity-violating decay parameters $α_Λ$ and $α_{\barΛ}$. Building on a general decomposition of any angular observable in terms of Wigner …

The $K(\pi, 1)$ conjecture for affine Artin groups
Giovanni Paolini, Mario Salvetti
https://arxiv.org/abs/2509.00445 https://arxiv.org/pdf/2509.00445

The $K(π, 1)$ conjecture for affine Artin groups
In this summary paper, we present the key ideas behind the recent proof of the $K(π, 1)$ conjecture for affine Artin groups, which states that complements of locally finite affine hyperplane arrangements with real equations and stable under orthogonal reflections are aspherical. We survey three facets of the argument: the combinatorics of noncrossing partition posets associated with Coxeter groups; the appearance of dual Artin groups and the question of their isomorphism with standard Artin gr…

Spectral extremal problems for the $(p,Q)$-spectral radius of hypergraphs
Jian Zheng, Honghai Li, Li Su
https://arxiv.org/abs/2510.02776 https://arxiv.org/…

Spectral extremal problems for the $(p,Q)$-spectral radius of hypergraphs
Let $Q$ be an $s$-vertex $r$-uniform hypergraph, and let $H$ be an $n$-vertex $r$-uniform hypergraph. Denote by $\mathcal{N}(Q,H)$ the number of isomorphic copies of $Q$ in $H$. For a hereditary family $\mathcal{P}$ of $r$-uniform hypergraphs, define $$π(Q,\mathcal{P}):=\lim\limits_{n\to \infty}\binom{n}{s}^{-1}\max\{\mathcal{N}(Q,H): H\in \mathcal{P}~~\mbox{and}~~|V(H)|=n\}.$$ For $p\geq1$, the $(p,Q)$-spectral radius of $H$ is defined as $$λ^{(p)}(Q,H):=\max_{\|\mathbf{x}\
…

Specific features of the $\pi$-electron spectrum of narrow achiral $(2m,m)$ nanoribbons
Lyuba Malysheva
https://arxiv.org/abs/2509.04306 https://arxiv.org/…

Specific features of the $π$-electron spectrum of narrow achiral $(2m,m)$ nanoribbons
On the basis of the Su-Schrieffer-Heeger-Hückel-type Hamiltonian, we consider the tight-binding eigenvalue problem for a sequence of pyrene molecules forming a narrow $(2m,m)$ graphene nanoribbon. Specific features of the corresponding dispersion relation are analyzed and illustrated with several examples. It is shown that the $π$-electron spectrum of the pyrene oligomer includes local states, in contrast to the spectrum of linear acene, which consists only of extended states. We analyze and …

Search for the lepton number violating decay $\eta\to \pi^ \pi^ e^-e^- c.c.$ via $J/\psi\to\phi\eta$
BESIII Collaboration, et al.
https://arxiv.org/abs/2509.21921 https://

Search for the lepton number violating decay $η\to π^+π^+e^-e^- + c.c.$ via $J/ψ\toϕη$
Based on a sample of $ (10.087\pm 0.044)\times 10^{9} J/ψ$ events collected by the BESIII detector at the BEPCII collider, we perform the first search for the lepton number violating decay $η\to π^+π^+ e^-e^- + \text{c.c.}$ No signal is found, and an upper limit on the branching fraction of $η\to π^+π^+ e^-e^- + c.c.$ is set to be $4.6 \times 10^{-6}$ at the 90\% confidence level.

Primes of the form $ax by$ in certain intervals with small solutions
Yuchen Ding, Takao Komatsu, Honghu Liu
https://arxiv.org/abs/2510.01781 https://arxiv.…

Primes of the form $ax+by$ in certain intervals with small solutions
Let $1

A Seifert-van Kampen Theorem and the Frobenius Action on Tame Fundamental Groups
Yuxiang Yao
https://arxiv.org/abs/2509.17551 https://arxiv.org/pdf/2509.17…

A Seifert-van Kampen Theorem and the Frobenius Action on Tame Fundamental Groups
Let $X = P^1_{\mathbb{F}_p}-B$, where $B$ is a divisor with $n$ distinct geometric points, and view $X$ as a $\mathbb{F}_q$-variety with $q = p^r$ for some $r$, we then obtain a short exact sequence of tame fundamental groups: \[1\to π_1^t(X_{\overline{\mathbb{F}_q}})\to π_1^t(X_{\mathbb{F}_q})\to \mathrm{Gal}(\overline{\mathbb{F}_q}/\mathbb{F}_q)\to 1.\] This gives rise to an action of $\mathrm{Gal}(\overline{\mathbb{F}_q}/\mathbb{F}_q)$ on $π_1^t(X_{\overline{\mathbb{F}_q}})$ once an $…

On absolutely exotic diffeomorphisms of 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
https://arxiv.org/abs/2510.05505 https://arxiv.org/pdf…

On absolutely exotic diffeomorphisms of 4-manifolds
We prove that there exist infinitely many contractible compact smooth $4$-manifolds $C$ that admit absolutely exotic diffeomorphisms of infinite order in $π_0(\mathrm{Diff}(C))$. By ``absolutely", we mean that isotopies are not required to be relative to the boundary. This follows from a theorem that produces absolutely exotic diffeomorphisms from relatively exotic diffeomorphisms, analogous to a theorem of Akbulut and Ruberman that produces absolutely exotic 4-manifolds from relatively exotic…

Stable hyperplane arrangements
Toshio Oshima
https://arxiv.org/abs/2510.11099 https://arxiv.org/pdf/2510.11099

Stable hyperplane arrangements
We classify complex hyperplane arrangements $\mathcal A$ whose intersection posets $L(\mathcal A)$ satisfy $L(\mathcal A)=π_i^{-1}\circπ_i\bigl(L(\mathcal A)\bigr)$ for $i=1,\dots,n$. Here $π_i$ denotes the projection from $\mathbb C^n$ onto $\mathbb C^{n-1}$ defined by that forgets the coordinate $x_i$ of $(x_1,\dots,x_n)\in\mathbb C^n$, and $π_i\bigl(L(\mathcal A)\bigr)=\{π_i(S)\mid S\in L(\mathcal A)\}$. We show that such arrangements $\mathcal A$ arise as pullbacks of the mirror hyperp…

Total Faraday rotation by the Hall effect in a 2D electron gas
Vishnunarayanan Suresh, Talia J. Martz-Oberlander, Sujatha Vijayakrishnan, Loren N. Pfeiffer, Ken W. West, Guillaume Gervais, Bertrand Reulet, Thomas Szkopek
https://arxiv.org/abs/2509.05819

Total Faraday rotation by the Hall effect in a 2D electron gas
We report the realization of near total Faraday rotation of $θ_F$=1.43 rad (82 degrees) on a single pass through a 2D electron gas (2DEG), approaching the ideal limit of $π/2$ rad (90 degrees). The corresponding Verdet constant V = $9.5\times10^{8}$ rad T$^{-1}$m$^{-1}$, exceeds by approximately one order of magnitude that reported in other material systems. Our measurements were conducted at microwave frequencies (f=9.2-11.2 GHz) in a 2DEG with a high dc mobility $μ$ = $7\times10^6$ cm$^2$V…

Study of transition form factors of the lightest pseudoscalars
Yi-Hao Zhang, Shao-Zhou Jiang, Ling-Yun Dai
https://arxiv.org/abs/2509.06471 https://arxiv.o…

Study of transition form factors of the lightest pseudoscalars
In this paper, we study the transition form factors of the lightest pseudoscalar mesons, $π^0$, $η$, and $η'$, within the framework of resonance chiral theory. Our analysis is performed based on the data of time-like and space-like singly-virtual and space-like doubly-virtual form factors, as well as the relevant cross sections and latest invariant mass spectra of $e^+e^-$ pair for the process of $P\toγe^+ e^-$. The transition form factors of these pseudoscalars are obtained. Also, we evalu…

Linear independence measures for Chowla--Selberg periods
Wadim Zudilin
https://arxiv.org/abs/2508.17738 https://arxiv.org/pdf/2508.17738

Linear independence measures for Chowla--Selberg periods
We use simultaneous Padé approximations to $_3F_2$ hypergeometric functions to estimate from below linear forms in $1$, $π\sqrt{d}$, $Ω_D/π$ and $π/Ω_D$ with integral coefficients, where $d$ is a positive integer and $Ω_D$ is (the square of) a Chowla--Selberg period attached to the imaginary quadratic field $Q(\sqrt{D})$.

Flavor, transverse momentum, and azimuthal dependence of charged pion multiplicities in SIDIS with 10.6 GeV electrons
Hall C SIDIS Collaboration, P. Bosted, H. Bhatt, S. Jia, W. Armstrong, D. Dutta, R. Ent, D. Gaskell, E. Kinney, H. Mkrtchyan, S. Ali, R. Ambrose, D. Androic, C. Ayerbe Gayoso, A. Bandari, V. Berdnikov, D. Bhetuwal, D. Biswas, M. Boer, E. Brash, A. Camsonne, M. Cardona, J. P. Chen, J. Chen, M. Chen, E. M. Christy, S. Covrig, S. Danagoulian, M. Diefenthaler, B. Duran, C. …

Flavor, transverse momentum, and azimuthal dependence of charged pion multiplicities in SIDIS with 10.6 GeV electrons
Measurements of SIDIS multiplicities for $π^+$ and $π^-$ from proton and deuteron targets are reported on a grid of hadron kinematic variables $z$, $P_{T}$, and $ϕ^{*}$ for leptonic kinematic variables in the range $0.3

Uniform Tur\'an density beyond 3-graphs
Ander Lamaison
https://arxiv.org/abs/2508.20696 https://arxiv.org/pdf/2508.20696…

Uniform Turán density beyond 3-graphs
In the 1980s, Erdős and Sós first introduced an extremal problem on hypergraphs with density constraints. Given an $r$-uniform hypergraph $F$ (or $r$-graph for short), its uniform Turán density $π_u(F)$ is the smallest value of $d$ in which every hypergraph $H$ in which every linear-sized subhypergraph of $H$ has edge density at least $d$ contains $F$ as a subgraph. The first non-zero value of $π_u(F)$ was not found until 30 years later. Progress in studying the set of values of the unif…

Commutators of n-cycles in the symmetric group
Philipp Bader
https://arxiv.org/abs/2509.22749 https://arxiv.org/pdf/2509.22749

Commutators of n-cycles in the symmetric group
We show that for $n \ge 6$ every even permutation on $n$ symbols is the commutator of two $n$-cycles. More precisely, let $S_n$ be the symmetric group and $A_n$ the alternating group. Let $C(n) \subset S_n$ denote the conjugacy class of $n$-cycles and $[\cdot, \cdot]$ be the commutator of two permutations. We prove: The map $C(n) \times C(n) \to A_n, \ (τ, π) \mapsto [τ, π]$ is surjective for all $n \ge 6$.

Amplitude analysis of $B^0 \rightarrow \eta_c(1S) K^ \pi^- $ decays
LHCb collaboration, et al.
https://arxiv.org/abs/2509.03133 https://arxiv.org/pdf/2509…

Amplitude analysis of $B^0 \rightarrow η_c(1S) K^+ π^- $ decays
An amplitude analysis of the $B^0 \rightarrow η_{c}(1S) K^+ π^- $ decays with $η_{c}(1S) \to p \bar{p}$ is performed using a sample corresponding to an integrated luminosity of 9$\text{fb}^{-1}$ of $pp$ collision data collected by the LHCb detector at centre-of-mass energies of $\sqrt{s}$ = 7, 8 and 13TeV. The data are described with a model including only intermediate contributions from known $K^{0\star}$ resonances. Evidence for an exotic resonance in the $η_{c}(1S) π^{-} $ system, repor…

Low-lying zeros of Hilbert modular $L$-functions weighted by powers of central $L$-values
Zhining Wei, Liyang Yang, Shifan Zhao
https://arxiv.org/abs/2508.18469 https://

Low-lying zeros of Hilbert modular $L$-functions weighted by powers of central $L$-values
Let $\mathcal{F}(\textbf{k},\mathfrak{q})$ be the set of primitive Hilbert modular forms of weight $\textbf{k}$ and prime level $\mathfrak{q}$, with trivial central character. We study the one-level density of low-lying zeros of $L(s,π)$ weighted by powers of central $L$-values $L(1/2,π)^r$, where $π$ runs through $\mathcal{F}(\textbf{k},\mathfrak{q})$. For $r=1,2,3$, we show that the resulting distributions $W_r$ match with predictions from Random Matrix Theory. For general $r \geq 1$, we a…

Partially hyperbolic flows on flat vector bundles with an application to complete affine manifolds
Suhyoung Choi
https://arxiv.org/abs/2509.26117 https://a…

Partially hyperbolic flows on flat vector bundles with an application to complete affine manifolds
Let $N$ be a manifold of dimension $m$ with a flat vector bundle given by a representation $ρ:π_1(N) \rightarrow \mathrm{GL}(n, \mathbf{R})$ where $π_1(N)$ is finitely generated. The holonomy group $ρ$ is a $k$-partially hyperbolic holonomy representation if the flat bundle pulled back over the unit tangent bundle of a sufficiently large compact submanifold of $N$ splits into expanding, neutral, and contracting subbundles along the geodesic flow, where the expanding and contracting subbundl…

Torsor Neron models of hyperkahler manifolds
Ljudmila Kamenova, Misha Verbitsky
https://arxiv.org/abs/2509.12369 https://arxiv.org/pdf/2509.12369

Torsor Neron models of hyperkahler manifolds
Let $M$ be a compact hyperkahler manifold equipped with a Lagrangian fibration $π:\; M \to X$, and $M'$ the smooth locus of $π$. We prove that over a complement to a codimension $\geq 2$ subset in $X$, the projection $π:\; M' \to X$ has a natural structure of a torsor over an abelian group bundle, which can be understood as a complex analytic variant of the Néron model construction. This gives an independent proof of a result by Y.-J. Kim.

Coupled-Channel Dynamics of $T_{c\bar{s}}$ in $D_{s1}(2460/2536)\to D_s\pi\pi$
Zhi Yang, Guang-Juan Wang, Jia-Jun Wu, Makoto Oka
https://arxiv.org/abs/2510.01564 https://…

Coupled-Channel Dynamics of $T_{c\bar{s}}$ in $D_{s1}(2460/2536)\to D_sππ$
The $T_{c\bar{s}}$ state observed in the decay $D_{s1}(2460)^+ \to D_s^+π^+π^-$ provides direct evidence for an isovector open-charm tetraquark state with strangeness. We develop a unified theoretical framework that consistently incorporates triangle loops and $DK$-$D_sπ$ rescattering. Especially, $DK$-$D_sπ$ coupled-channel interactions through off-diagonal potential terms provide a novel perspective on the origin of the $T_{c\bar{s}}$ pole. Based on the systematic description of the $D_{s…

Regular Structures in Kronecker Permutations
Fran\c{c}ois Cl\'ement
https://arxiv.org/abs/2509.03782 https://arxiv.org/pdf/2509.03782

Regular Structures in Kronecker Permutations
Kronecker sequences $(k α\mod 1)_{k=1}^{\infty}$ for some irrational $α> 0$ have played an important role in many areas of mathematics. It is possible to associate to each finite segment $(k α\mod 1)_{k=1}^{n}$ a permutation $π\in S_n$ associated with the canonical lifting to two dimensions. We show that these permutations induced by Kronecker sequences based on irrational $α$ are extremely regular for specific choices of $n$ and $α$. In particular, all quadratic irrationals have an infin…

Torsion in the Braid Monodromy of Elliptic Fibrations
Faye Jackson
https://arxiv.org/abs/2509.14454 https://arxiv.org/pdf/2509.14454

Torsion in the Braid Monodromy of Elliptic Fibrations
Given an elliptic fibration $π: M \to S^2$ with singular locus $Δ\subseteq S^2$, let $\operatorname{Br}(π) < \operatorname{Mod}(S^2,Δ)$ be the subgroup of the spherical braid group consisting of those braids that lift to a fiber-preserving diffeomorphism of $M$. We classify the order $n = |Δ|$ elements of $\operatorname{Br}(π)$ up to conjugacy in $\operatorname{Br}(π)$. To do so, we relate these conjugacy classes to special points on the $\operatorname{SL}_2$-character variety …

Search for $\chi_{c1}\to \pi^{ }\pi^{-}\eta_c$ via $\psi(3686)\to\gamma\chi_{c1}$
BESIII Collaboration, et al.
https://arxiv.org/abs/2508.18601 https://arx…

Search for $χ_{c1}\to π^{+}π^{-}η_c$ via $ψ(3686)\toγχ_{c1}$
Utilizing $(2712.4 \pm 14.3) \times 10^6$ $ψ(3686)$ events collected with the BESIII detector at the BEPCII collider, we search for the hadronic transition process $χ_{c1} \to π^+π^-η_c$ following the decay $ψ(3686)\to γχ_{c1}$. No significant signal is observed, and an upper limit of $\mathcal{B}(χ_{c1}\toπ^+π^-η_c)$ is determined to be $3.1 times 10^{-4}$~at 90\% confidence level, which is one order of magnitude more stringent than the previous measurement.

Numbers in the base $e^\pi$
Simon Plouffe
https://arxiv.org/abs/2509.15609 https://arxiv.org/pdf/2509.15609

Numbers in the base $e^π$
A large-scale experiment was conducted to find formulas relating to the base $e^π$. The numbers in this base are $$x = \sum_{n=0}^\infty {a(n)\over e^{πn}}$$ where $a(n)$ is taken from the OEIS catalog. These experiments were inspired by several facts. Indeed, it is known that the formula generating the partitions of integers is generated by an infinite product $$\prod_{k\ge1}^\infty {1\over 1-x^k} = \sum_{n=0}^\infty p(n)x^n$$ that when evaluated at $x=e^{-π}$ is equal to $${2^{3/8} Γ(3/4…

Study of the two-body nonleptonic $B_{c}(2S)$ weak decays with the QCD factorization approach
Na Wang, Yueling Yang, Junfeng Sun
https://arxiv.org/abs/2510.05503 https://…

Study of the two-body nonleptonic $B_{c}(2S)$ weak decays with the QCD factorization approach
Inspired by the promising prospect of the $B_{c}(2S)$ meson at the coming HL-LHC experiments, the nonleptonic $B_{c}(2S)$ meson weak decays induced by both the $b$ and $c$ decays are investigated with the QCD factorization approach. It is found that branching ratios for the color- and CKM-favored $B_{c}(2S)$ ${\to}$ $B_{s}ρ$, $B_{s}π$ decays can reach up to ${\cal O}(10^{-9})$, which might be measurable. The $B_{c}(2S)$ decays into the final states containing one charmonium are highly suppres…

Tatuzawa's theorem for Rankin-Selberg $L$-functions
Gergely Harcos, Jesse Thorner
https://arxiv.org/abs/2508.10844 https://arxiv.org/pdf/2508.10844

Tatuzawa's theorem for Rankin-Selberg $L$-functions
Let $π$ and $π'$ be cuspidal automorphic representations of $\mathrm{GL}(n)$ and $\mathrm{GL}(n')$ with unitary central characters. We establish a new zero-free region for all $\mathrm{GL}(1)$-twists of the Rankin-Selberg $L$-function $L(s,π\timesπ')$, generalizing Tatuzawa's refinement of Siegel's work on Dirichlet $L$-functions. A crucial component of our proof is a new standard zero-free region for any twist of $L(s,π\times\widetildeπ)$ by an idele class character $χ$ apart from a pos…

First observation of $CP$ violation and measurement of polarization in $B^ \to\rho(770)^0 K^*(892)^ $ decays
LHCb collaboration, et al.
https://arxiv.org/abs/2508.13563 https://…

First observation of $CP$ violation and measurement of polarization in $B^+\toρ(770)^0 K^*(892)^+$ decays
An amplitude analysis of the $B^+\to(π^+π^-)(K^0_{\mathrm{S}}π^+)$ decay is performed in the mass regions $0.30 < m_{π^+π^-} < 1.10\,\mathrm{GeV}/c^2$ and $0.75 < m_{K^0_{\mathrm{S}}π^+} < 1.20\,\mathrm{GeV}/c^2$, using $pp$ collision data recorded with the LHCb detector corresponding to an integrated luminosity of $9\,\mathrm{fb}^{-1}$. The polarization fractions and $CP$ asymmetries for $B^+\toρ(770)^0K^*(892)^+$ decays are measured. Violation of the $CP$ symmetry in the decay $B^+\to�…

On irreducibility of certain low dimensional automorphic Galois representations
Boyi Dai
https://arxiv.org/abs/2510.12496 https://arxiv.org/pdf/2510.12496

On irreducibility of certain low dimensional automorphic Galois representations
We study irreducibility of Galois representations $ρ_{π,λ}$ associated to a $n=7$ or 8-dimensional regular algebraic essentially self-dual cuspidal automorphic representation $π$ of $\text{GL}_n(\mathbb{A}_\mathbb{Q})$. We show $ρ_{π,λ}$ is irreducible for all but finitely many $λ$ under the following extra conditions. (i) If $n=7$, and there exists no $λ$ such that the Lie type of $ρ_{π,λ}$ is the standard representation of exceptional group $\textbf{G}_2$. (ii) If $n=8$, and when …

Search for $CP$ violation in $\Xi_c^ \to\Sigma^ h^ h^-$ and $\Lambda_c^ \to ph^ h^-$ at Belle II
Collaboration, Abumusabh, Adachi, Ahmed, Ahn, Aihara, Akopov, Alghamdi, Alhakami, Althubiti, Amos, Ky, Asner, Atmacan, Ayad, Babu, Baghel, Bahinipati, Bambade, Banerjee, Bartl, Baudot, Beaubien, Becker, Bennett, Bertacchi, Bertemes, Bertholet, Bettarini, Bhardwaj, Biswas, Bobrov, Bodrov, Bonvicini, Borah, Boschetti, Bra\v{c}ko, Branchini, Briere, Browder, Budano, Bussino, Campagna, Campajol…

Search for $CP$ violation in $Ξ_c^+\toΣ^+h^+h^-$ and $Λ_c^+\to ph^+h^-$ at Belle II
We report decay-rate $CP$ asymmetries of the singly-Cabibbo-suppressed decays $Ξ_c^+\toΣ^+h^+h^-$ and $Λ_c^+\to ph^+h^-$, with $h=K,π$, measured using 428 fb$^{-1}$ of $e^+e^-$ collisions collected by the Belle II experiment at the SuperKEKB collider. The results, \begin{equation} A_{CP}(Ξ_c^+\toΣ^+K^+K^-) = (3.7\pm6.6\pm0.6)\%, \end{equation} \begin{equation} A_{CP}(Ξ_c^+\toΣ^+π^+π^-) = (9.5\pm6.8\pm0.5)\%, \end{equation} \begin{equation} A_{CP}(Λ_c^+\to pK^+K^-) = (3.9\pm1.7\…

Observation of $e^ e^-\to\eta\Upsilon(2S)$ and search for $e^ e^-\to\eta\Upsilon(1S),~\gamma X_b$ at $\sqrt{s}$ near 10.75 GeV
Collaboration, Adachi, Aggarwal, Ahmed, Ahn, Aihara, Akopov, Alghamdi, Alhakami, Aloisio, Althubiti, Amos, Angelsmark, Ky, Antonioli, Asner, Atmacan, Aushev, Aushev, Aversano, Ayad, Babu, Bae, Baghel, Bahinipati, Bambade, Banerjee, Bansal, Barrett, Bartl, Baudot, Baur, Beaubien, Becherer, Becker, Bennett, Bernlochner, Bertacchi, Bertemes, Bertholet, Bessner, Be…

Observation of $e^+e^-\toηΥ(2S)$ and search for $e^+e^-\toηΥ(1S),~γX_b$ at $\sqrt{s}$ near 10.75 GeV
We present an analysis of the processes $e^{+}e^{-}\toηΥ(1S)$, $ηΥ(2S)$, and $γX_b$ with $X_b\toπ^+π^-χ_{bJ},~χ_{bJ}\toγΥ(1S)$ $(J=1,~2)$ reconstructed from $γγπ^+π^-\ell^+\ell^-~(\ell=e,~μ)$ final states in $19.6~{\rm fb^{-1}}$ of Belle II data collected at four energy points near the peak of the $Υ(10753)$ resonance. Here, $X_b$ is a hypothetical bottomonium-sector partner of the $X(3872)$. A signal of $e^{+}e^{-}\toηΥ(2S)$ is observed with a significance greater than $6.0�…