Tootfinder

SU(N) integrals and tau functions
A. Yu. Orlov
https://arxiv.org/abs/2509.20213 https://arxiv.org/pdf/2509.20213 …

SU(N) integrals and tau functions
We present a family of solvable multi-matrix models associated with an arbitrary embedded graph $Γ$ with a single vertex. The graph with $n$ edges is equipped with $2n$ corner matrices. The partition function of each member of the family depends on the set of eigenvalues of monodromies of corner matrices around the vertices of the dual graph $Γ^*$ and sets of parameters attached to each vertex of $Γ$. We select the cases where the partition function of a model is a tau function of KP, 2KP an…

Variability of the DG Tau Forbidden Emission Line Low Velocity Component
Noah Otten, Emma Whelan, Yu-Ru Chou, Michihiro Takami, Aisling Murphy, Andrea Banzatti
https://arxiv.org/abs/2509.19256

Mind the crosscap: $\tau$-scaling in non-orientable gravity and time-reversal-invariant systems
Gabriele Di Ubaldo, Altay Etkin, Felix M. Haehl, Moshe Rozali
https://arxiv.org/abs/2509.20448

Mind the crosscap: $τ$-scaling in non-orientable gravity and time-reversal-invariant systems
Spectral statistics of quantum chaotic systems are governed by random matrix universality. In many cases of interest, time-reversal symmetry selects the Gaussian Orthogonal Ensemble (GOE) as the relevant universality class. In holographic CFTs, this is mirrored by the presence of non-orientable geometries in the dual gravitational path integral. In this work, we analyze general properties of these matrix models and their gravitational counterparts. First, we develop a formalism to express the u…

Vectorlike $\tau$ production through leptoquarks
Shruti Dubey, Nilanjana Kumar, Tanumoy Mandal, Subhadip Mitra, Rachit Sharma
https://arxiv.org/abs/2508.18047 https://

Vectorlike $τ$ production through leptoquarks
Numerous phenomenological studies and collider searches have probed for the existence of new physics by looking for signatures of leptoquarks (LQs) or vectorlike leptons (VLLs). We consider a new possibility that can arise in theories with enhanced gauge symmetries: both particles are simultaneously present, and LQ-mediated processes enhance the VLL production at the LHC. We study the effect of non-standard interactions of LQs that contribute to novel production and decay signatures. We obtain …

Replaced article(s) found for math.NT. https://arxiv.org/list/math.NT/new
[1/1]:
- Small Primes And The Tau Function
N. A. Carella
https://

Probing dust and grain growth in the optically thick circumbinary ring of V892 Tau
Antoine Alaguero, Fran\c{c}ois M\'enard, Nicol\'as Cuello, \'Alvaro Ribas, Elena Viscardi, Enrique Mac\'ias, Miguel Vioque, James Miley
https://arxiv.org/abs/2509.17424

Probing dust and grain growth in the optically thick circumbinary ring of V892 Tau
A considerable proportion of young stars belong to multiple star systems. Constraining the planet formation processes in multiple stellar systems is then key to understand the global exoplanet population. This study focuses on investigating the dust reservoir within the triple system V892 Tau. Our objective is to establish constraints on the properties and characteristics of the dust present in the system's circumbinary ring. Based on archival ALMA and VLA data from 0.9 mm to 9.8 mm, we present…

Search for the lepton-flavor-violating $\tau^{-} \rightarrow e^{\mp} \ell^{\pm} \ell^{\mp}$ decays at Belle II
Collaboration, Adachi, Aggarwal, Ahmed, Ahn, Aihara, Akopov, Alghamdi, Alhakami, Aloisio, Althubiti, Amos, Angelsmark, Ky, Antonioli, Asner, Atmacan, Aushev, Aversano, Ayad, Babu, Bae, Baghel, Bahinipati, Bambade, Banerjee, Bansal, Barrett, Bartl, Baudot, Baur, Beaubien, Becherer, Becker, Bennett, Bernlochner, Bertacchi, Bertemes, Bertholet, Bessner, Bettarini, Bhardwaj, Bhuya…

Search for the lepton-flavor-violating $τ^{-} \rightarrow e^{\mp} \ell^{\pm} \ell^{\mp}$ decays at Belle II
We present the result of a search for the charged-lepton-flavor violating decays $τ^- \rightarrow e^\mp \ell^\pm \ell^-$, where $\ell$ is a muon or an electron, using a data sample with an integrated luminosity of 428 fb$^{-1}$ recorded by the Belle II experiment at the SuperKEKB $e^+e^-$ collider. The selection of $e^+e^- \toτ^+τ^-$ events containing a signal candidate is based on an inclusive-tagging reconstruction and on a boosted decision tree to suppress background. Upper limits on the …

A water Cherenkov detector prototype for future high-energy tau-neutrino experiment
Monong Yu, Yiren Chen, Lei Wang, Shiping Zhao, Xingyu Li, Qiang Yuan, Yi Zhang, Guang Yang
https://arxiv.org/abs/2508.14743

A water Cherenkov detector prototype for future high-energy tau-neutrino experiment
The detection of high-energy tau neutrinos remains a critical challenge in neutrino astronomy, limited by inadequate angular resolution and sensitivity in current detectors like IceCube and KM3NeT. We present a modular water Cherenkov detector prototype optimized for tau-neutrino-induced extensive air showers (EAS) in the 1-100 PeV range, leveraging canyon terrain for natural cosmic-ray shielding. Laboratory validation demonstrates this prototype design has high detection efficiency (>99%) and …

〰️ Researchers make key gains in unlocking the promise of compact X-ray free-electron lasers
#laser

Researchers make key gains in unlocking the promise of compact X-ray free-electron lasers
New research by scientists from the U.S. Department of Energy's Lawrence Berkeley National Laboratory (Berkeley Lab), in collaboration with scientists from TAU Systems Inc., has brought the promise of smaller and more affordable X-ray free-electron lasers one step closer to reality.

Status of the Trinity PeV Neutrino Observatory
S. Stepanoff (for the Trinity Collaboration), A. N. Otte (for the Trinity Collaboration), M. Bagheri (for the Trinity Collaboration), A. Barletta (for the Trinity Collaboration), D. Bergmann (for the Trinity Collaboration), J. Blose (for the Trinity Collaboration), J. Bogdan (for the Trinity Collaboration), A. M. Brown (for the Trinity Collaboration), L. Cedeno (for the Trinity Collaboration), M. Doro (for the Trinity Collaboration), M. Fe…

Long-lived Axion-Like Particles from Tau Decays
Yohei Ema, Patrick J. Fox, Matheus Hostert, Tony Menzo, Maxim Pospelov, Anupam Ray, Jure Zupan
https://arxiv.org/abs/2507.15271

Long-lived Axion-Like Particles from Tau Decays
Axion-like particles (ALPs) are well-motivated examples of light, weakly coupled particles in theories beyond the Standard Model. In this work, we study long-lived ALPs coupled exclusively to leptons in the mass range between $2 m_e$ and $m_τ- m_e$. For anarchic flavor structure the leptophilic ALP production in tau decays or from ALP-tau bremsstrahlung is enhanced thanks to derivative couplings of the ALP and can surpass production from electron and muon channels, especially for ALPs heavier …

Modular transformations of tau functions and conformal blocks on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
https://arxiv.org/abs/2508.14030 https://…

Modular transformations of tau functions and conformal blocks on the torus
The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants decompositions of the torus. In this paper, we study the modular transformations of the tau function and consequently derive the connection constant. Moreover, through the relation with two-dimensional Conformal Field Theory, we also obtain an exact closed formula for the $c=1$ Virasoro modular kernel, whose expression …

One reduction of the modified Toda hierarchy
Jinbiao Wang, Wenchuang Guan, Mengyao Chen, Jipeng Cheng
https://arxiv.org/abs/2507.18271 https://arxiv.org/pd…

One reduction of the modified Toda hierarchy
The modified Toda (mToda) hierarchy is a two-component generalization of the 1-st modified KP (mKP) hierarchy, which connects the Toda hierarchy via Miura links and has two tau functions. Based on the fact that the mToda and 1-st mKP hierarchies share the same fermionic form, we firstly construct the reduction of the mToda hierarchy $L_1(n)^M=L_2(n)^N+\sum_{l\in\mathbb{Z}}\sum_{i=1}^{m}q_{i,n}Λ^lr_{i,n+1}Δ$ and $(L_1(n)^M+L_2(n)^N)(1)=0$, called the generalized bigraded modified Toda hierarch…

TauGenNet: Plasma-Driven Tau PET Image Synthesis via Text-Guided 3D Diffusion Models
Yuxin Gong (for the Alzheimer's Disease Neuroimaging Initiative), Se-in Jang (for the Alzheimer's Disease Neuroimaging Initiative), Wei Shao (for the Alzheimer's Disease Neuroimaging Initiative), Yi Su (for the Alzheimer's Disease Neuroimaging Initiative), Kuang Gong (for the Alzheimer's Disease Neuroimaging Initiative)

TauGenNet: Plasma-Driven Tau PET Image Synthesis via Text-Guided 3D Diffusion Models
Accurate quantification of tau pathology via tau positron emission tomography (PET) scan is crucial for diagnosing and monitoring Alzheimer's disease (AD). However, the high cost and limited availability of tau PET restrict its widespread use. In contrast, structural magnetic resonance imaging (MRI) and plasma-based biomarkers provide non-invasive and widely available complementary information related to brain anatomy and disease progression. In this work, we propose a text-guided 3D diffusion …

Orbital and Physical Properties of the Pleiades Binary 27 Tau (Atlas)
G. Torres (CfA), A. Tkachenko, K. Pavlovski, S. Gossage, G. H. Schaefer, C. Melis, M. Ireland, J. D. Monnier, N. Anugu, S. Kraus, C. Lanthermann, K. Gordon, R. Klement, S. J. Murphy, R. M. Roettenbacher
https://arxiv.org/abs/2507.15933

Orbital and Physical Properties of the Pleiades Binary 27 Tau (Atlas)
We report new spectroscopic and interferometric observations of the Pleiades binary star Atlas, which played an important role nearly three decades ago in settling the debate over the distance to the cluster from ground-based and space-based determinations. We use the new measurements, together with other published and archival astrometric observations, to improve the determination of the 291-day orbit and the distance to Atlas ($136.2 \pm 1.4$ pc). We also derive the main properties of the com…

Multi-Wavelength Dust Characterization of the HL Tau Disk and Implications for Planet Formation
Takahiro Ueda, Sean M. Andrews, Carlos Carrasco-Gonz\'alez, Osmar M. Guerra-Alvarado, Satoshi Okuzumi, Ryo Tazaki, Akimasa Kataoka
https://arxiv.org/abs/2507.14443

Multi-Wavelength Dust Characterization of the HL Tau Disk and Implications for Planet Formation
We present a comprehensive analysis of the HL Tau dust disk by modeling its intensity profiles across six wavelengths (0.45 to 7.9 mm) with a resolution of 0.05 arcsec ($\sim7$ au). Using a Markov Chain Monte Carlo (MCMC) approach, we constrain key dust properties including temperature, surface density, maximum grain size, composition, filling factor, and size distribution. The full fitting, with all parameters free, shows a preference for organics-rich dust with a low filling factor in the out…

Probing scalar non-standard interaction of supernova neutrinos in next-generation neutrino experiments
Sudipta Das, Mary Hall Reno
https://arxiv.org/abs/2508.16510 https://

Probing scalar non-standard interaction of supernova neutrinos in next-generation neutrino experiments
A new neutrino-matter interaction can potentially affect neutrino propagation through matter. In this work, we explore the impact of a flavor-conserving scalar-mediated non-standard neutrino interaction in the supernova neutrino flux. We observe that the presence of scalar interaction involving muon and tau neutrinos (parameterized as $η_{μμ}$ and $η_{ττ}$, respectively) can invert the neutrino mass eigenstate in which three neutrino flavor states are produced inside the Supernova core, r…

Heavy flavored hydrogen molecule systems
Hui-Min Yang, Yao Ma, Shi-Lin Zhu
https://arxiv.org/abs/2507.21498 https://arxiv.org/pdf/2507.21498 https://arxiv.org/html/2507.21498
arXiv:2507.21498v1 Announce Type: new
Abstract: This study provides a comprehensive analysis of $S$-wave exotic hydrogen-like three-body systems ($pp\mu^-$, $pp\tau^-$, $\mu^-\mu^-p$, $\tau^-\tau^-p$, $p\mu^-\tau^-$) with spin-parity $J^P = 1/2^ $ and $3/2^ $, and four-body systems ($pp\mu^-\mu^-$, $pp\tau^-\tau^-$) with $J^P = 0^ $, $1^ $, and $2^ $. We use complex scaling and Gaussian expansion methods to solve the complex-scaled Schr\"{o}dinger equation and obtain possible bound and quasi-bound states. The resulting binding energies range from $-33.8$~keV to $-340$~eV. Notably, we present the first theoretical estimation of the bound-state energy levels of $pp\mu^-\mu^-$ and $pp\tau^-\tau^-$, which is of significant importance for understanding exotic few-body Coulomb systems. We further analyze spin configurations and root-mean-square radii to elucidate the spatial structure of these bound and quasi-bound states. Our results reveal that $K$-type spatial configurations play a crucial role in accurately describing bound and quasi-bound states in the hydrogen-molecule-like systems $pp\mu^-\mu^-$ and $pp\tau^-\tau^-$. Incorporating $K$-type configurations significantly alters the mass spectra of these states. Future muon colliders and muon facilities may offer promising platforms for the possible copious production of such heavy flavored hydrogen molecules and molecular ions. For instance, scattering processes such as $2\mu^- \mathrm{H_2} \to \mathrm{H_{2\mu}} 2e^-$, $\mu^- \mathrm{H_2} \to \mathrm{H_{\mu e}} e^-$, and $\mu^- \mathrm{H_2^ } \to \mathrm{H_{2\mu}^ } e^-$ could be utilized, facilitating detailed studies of intriguing states such as $\mathrm{H_{2\mu}}$, $\mathrm{H_{\mu e}}$, and $\mathrm{H_{2\mu}^ }$.
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ViExam: Are Vision Language Models Better than Humans on Vietnamese Multimodal Exam Questions?
Vy Tuong Dang, An Vo, Quang Tau, Duc Dm, Daeyoung Kim
https://arxiv.org/abs/2508.13680

ViExam: Are Vision Language Models Better than Humans on Vietnamese Multimodal Exam Questions?
Vision language models (VLMs) demonstrate remarkable capabilities on English multimodal tasks, but their performance on low-resource languages with genuinely multimodal educational content remains largely unexplored. In this work, we test how VLMs perform on Vietnamese educational assessments, investigating whether VLMs trained predominantly on English data can handle real-world cross-lingual multimodal reasoning. Our work presents the first comprehensive evaluation of VLM capabilities on multi…

An exact tau-leaping method
Ron Solan, Gad Getz
https://arxiv.org/abs/2509.12631 https://arxiv.org/pdf/2509.12631…

An exact tau-leaping method
The Gillespie algorithm and its extensions are commonly used for the simulation of chemical reaction networks. A limitation of these algorithms is that they have to process and update the system after every reaction, requiring significant computation. Another class of algorithms, based on the tau-leaping method, is able to simulate multiple reactions at a time at the cost of decreased accuracy. We present a new algorithm for the exact simulation of chemical reaction networks that is capable of …

Scientists Find First Evidence of Auditory Interaction Between Animals and Plants: Study #environment

Scientists Find First Evidence of Auditory Interaction Between Animals and Plants: Study
In the first study of its kind, scientists from Tel Aviv University (TAU) have documented an acoustic interaction between insects and plants.

Analyzing Internal Activity and Robustness of SNNs Across Neuron Parameter Space
Szymon Mazurek, Jakub Caputa, Maciej Wielgosz
https://arxiv.org/abs/2507.14757

Analyzing Internal Activity and Robustness of SNNs Across Neuron Parameter Space
Spiking Neural Networks (SNNs) offer energy-efficient and biologically plausible alternatives to traditional artificial neural networks, but their performance depends critically on the tuning of neuron model parameters. In this work, we identify and characterize an operational space - a constrained region in the neuron hyperparameter domain (specifically membrane time constant tau and voltage threshold vth) - within which the network exhibits meaningful activity and functional behavior. Operati…

Optimizing HERON for 100 PeV Neutrino Detection
Andrew Zeolla, Ingo Allekotte, Jaime Alvarez-Mu\~niz, Sergio Cabana-Freire, Valentin Decoene, Luciano Ferreyro, Ars\`ene Ferri\`ere, Matias Hampel, Kumiko Kotera, Olivier Martineau-Huynh, Valentin Niess, Federico Sanchez, Stephanie Wissel
https://arxiv.org/abs/2509.15413

Optimizing HERON for 100 PeV Neutrino Detection
The Hybrid Elevated Radio Observatory for Neutrinos (HERON) is designed to target the astrophysical flux of Earth-skimming tau neutrinos at 100 PeV. HERON consists of multiple compact, phased radio arrays embedded within a larger sparse array of antennas, located on the side of a mountain. This hybrid design provides both excellent sensitivity and a sub-degree pointing resolution. To design HERON, a suite of simulations accounting for tau propagation, shower development, radio emission, and ant…

Phospho-Tau 217, Plasma

USEFUL FOR
Evaluation of individuals, aged 50 years and older, presenting with cognitive impairment who are being assessed for Alzheimer disease and other causes of cognitive decline
 
This test is not intended as a screening test for Alzheimer disease in asymptomatic individuals.
https:/…

Conceptual Design Report of Super Tau-Charm Facility: The Accelerator
Jiancong Bao, Anton Bogomyagkov, Zexin Cao, Mingxuan Chang, Fangzhou Chen, Guanghua Chen, Qi Chen, Qushan Chen, Zhi Chen, Kuanjun Fan, Hailiang Gong, Duan Gu, Hao Guo, Tengjun Guo, Chongchao He, Tianlong He, Kaiwen Hou, Hao Hu, Tongning Hu, Xiaocheng Hu, Dazhang Huang, Pengwei Huang, Ruixuan Huang, Zhicheng Huang, Hangzhou Li, Renkai Li, Sangya Li, Weiwei Li, Xuan Li, Xunfeng Li, Yu Liang, Chao Liu, Tao Liu, Xiaoyu L…

Conceptual Design Report of Super Tau-Charm Facility: The Accelerator
Electron-positron colliders operating in the GeV region of center-of-mass energies or the Tau-Charm energy region, have been proven to enable competitive frontier research, due to its several unique features. With the progress of high energy physics in the last two decades, a new-generation Tau-Charm factory, Super Tau Charm Facility (STCF) has been actively promoting by the particle physics community in China. STCF holds great potential to address fundamental questions such as the essence of c…

A $\tau$-$DM relation for FRB hosts?
Lluis Mas-Ribas, Clancy W. James
https://arxiv.org/abs/2508.13317 https://arxiv.org/pdf/2508.13317

A $τ$-$DM relation for FRB hosts?
It has been proposed that measurements of scattering times ($τ$) from fast radio bursts (FRB) may be used to infer the FRB host dispersion measure (DM) and its redshift. This approach relies on the existence of a correlation between $τ$ and DM within FRB hosts such as that observed for Galactic pulsars. We assess the measurability of a $τ- $DM$_{\rm host}$ relation through simulated observations of FRBs within the ASKAP/CRAFT survey, taking into account instrumental effects. We show that eve…

Simulation and Performance Studies for the Tau Air-Shower Mountain-Based Observatory
Carlos A. Arg\"uelles (for the TAMBO collaboration), Jeffrey Lazar (for the TAMBO collaboration), William Thompson (for the TAMBO collaboration), Pavel Zhelnin (for the TAMBO collaboration)
https://arxiv.org/abs/2507.08524

Simulation and Performance Studies for the Tau Air-Shower Mountain-Based Observatory
While IceCube's detection of astrophysical neutrinos at energies up to a few PeV has opened a new window to our Universe, much remains to be discovered regarding these neutrinos' origin and nature. In particular, the difficulty of differentiating electron- and tau-neutrino charged-current (CC) events limits our ability to measure precisely the flavor ratio of this flux. The Tau Air-Shower Mountain-Based Observatory (TAMBO) is a next-generation neutrino observatory capable of producing a high-pu…

Vanishing Refractories: Tracing Dust Evolution in the BP Tau Protoplanetary Disk
Marbely Micolta (University of Michigan), Justin Svarc (University of Michigan), Nuria Calvet (University of Michigan), Ezequiel Manzo-Martinez (University of Michigan, Universidad Nacional Aut\'onoma de M\'exico), Thanawuth Thanathibodee (Chulalongkorn University), Gladis Magris C (Centro de Investigaciones de Astronom\'ia ''Francisco J. Duarte'' CIDA), Avalon Littwiller (Unive…

Vanishing Refractories: Tracing Dust Evolution in the BP Tau Protoplanetary Disk
We present a multi-wavelength analysis of the dust of BP Tau's protoplanetary disk. We use new optical spectra of BP Tau, taken with the Magellan/MIKE spectrograph in tandem with archival UV and mid-infrared observations. We use the magnetospheric accretion model to analyze the Ca II K and Mg II 2796.4 Å emission lines and derive the abundance of Ca and Mg in the accretion flows as a proxy for the refractory abundance in the innermost gas disk. Furthermore, we used irradiated accretion disk mo…

Flows on Gentle Algebras
Jonah Berggren
https://arxiv.org/abs/2507.12688 https://arxiv.org/pdf/2507.12688

Flows on Gentle Algebras
The space of unit flows on a directed acyclic graph (DAG) is known to admit regular unimodular triangulations induced by framings of the DAG. Amply framed DAGs and their triangulated flow polytopes have recently been connected with the representation theory of certain gentle algebras. We expand on this connection by defining a flow on the fringed quiver of an arbitrary gentle algebra. We call the space of unit flows its turbulence polyhedron. We show that support tau-tilting modules of a gentle…

Search for light pseudoscalar boson pairs produced from Higgs boson decays using the 4$\tau$ and 2$\mu$2$\tau$ final states in proton-proton collisions at $\sqrt{s}$ = 13 TeV
CMS Collaboration
https://arxiv.org/abs/2508.06947

Search for light pseudoscalar boson pairs produced from Higgs boson decays using the 4$τ$ and 2$μ$2$τ$ final states in proton-proton collisions at $\sqrt{s}$ = 13 TeV
A search for a pair of light pseudoscalar bosons (a$_1$) produced in the decay of the 125 GeV Higgs boson is presented. The analysis examines decay modes where one a$_1$ decays into a pair of tau leptons and the other decays into either another pair of tau leptons or a pair of muons. The a$_1$ boson mass probed in this study ranges from 4 to 15 GeV. The data sample was recorded by the CMS experiment in proton-proton collisions at a center-of-mass energy of 13 TeV and corresponds to an integrate…

Replaced article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Singularity confinement and proliferation of tau functions for a general differential-difference ...
Andrei Marin, Adrian Stefan Carstea

Prospects for $P$ and $C\!P$ violation in $\Lambda_{c}^{ }$ decays with polarized beam at Super Tau-Charm Facility
Hong-Jian Wang, Cheng Wang, Hao Sun, Pei-Rong Li, Xiao-Rui Lyu, Rong-Gang Ping
https://arxiv.org/abs/2508.12217

Prospects for $P$ and $C\!P$ violation in $Λ_{c}^{+}$ decays with polarized beam at Super Tau-Charm Facility
Weak decays of the charmed baryons offer an ideal platform to study parity ($P$) and charge conjugation-parity ($C\!P$) violation in quark sector, to stringently test the Standard Model and search for new physics. It is a key goal in the next-generation positron-electron collider, such as the Super Tau-Charm Facility (STCF). Thanks to the quantum-entangled pair production with super high luminosity and the possibility of beam polarization, STCF provides a unique environment to probe such symmet…

Replaced article(s) found for math.RA. https://arxiv.org/list/math.RA/new
[1/1]:
- On the first $\tau$-tilting Hochschild cohomology of an algebra
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar

Decoupling pressure gradient history effects in turbulent boundary layers through high-Reynolds number experiments
Ahmad Zarei, Mitchell Lozier, Rahul Deshpande, Ivan Marusic
https://arxiv.org/abs/2509.07545

Decoupling pressure gradient history effects in turbulent boundary layers through high-Reynolds number experiments
This study provides a carefully controlled examination of the universality of the von Karman and additive constants associated with the classical logarithmic scaling of the mean streamwise velocity profile in high-friction Reynolds number (Re_tau) turbulent boundary layers (TBLs) subjected to weak-to-moderate adverse pressure gradients (APGs). The analysis leverages a recently developed method for imposing APGs with minimal pressure gradient (PG) history effects in Melbourne's high-Re_tau TBL f…

Zwei Erlebnisse mit Kindern:
Ein erwachsener Sohn beichtet heute Morgen, dass er *unseren* Autoschlüssel (ein "modernes" flaches Teil) diese Woche abends unbemerkt auf *seinem* Autodach liegen gelassen hat. Am anderen Morgen bei der Arbeit war er baff, als er nach einer 80 km/h-Fahrt den Schlüssel auf seinem Autodach liegend vorfand. Der Tau auf dem Dach scheint stärker gewesen zu sein als der Fahrtwind …
Am Nachmittag habe ich mit den Nachbarskindern (2 4) Drachen stei…

Extremal problems for clamped plates under tension
Pedro Freitas, Rom\'eo Leylekian
https://arxiv.org/abs/2507.07040 https://arxiv.org/pdf/2507.07040 https://arxiv.org/html/2507.07040
arXiv:2507.07040v1 Announce Type: new
Abstract: We address extremum problems for spectral quantities associated with operators of the form $\Delta^2-\tau\Delta$ with Dirichlet boundary conditions, for non-negative values of $\tau$. The focus is on two shape optimisation problems: minimising the first eigenvalue; and maximising the torsional rigidity, both under volume constraint. We establish, on the one hand, a Szeg\H{o}-type inequality, that is, we show that among all domains having a first eigenfunction of fixed sign the ball minimises the corresponding first eigenvalue; on the other hand a Saint--Venant-type inequality, namely, a sharp upper bound on the torsional rigidity, again achieved by the ball. We further present other properties related to these operators and express the optimality condition associated with the minimisation of the first eigenvalue.
toXiv_bot_toot

Norm-Stabilized Imaginary-Time Evolution via Feedback Control
Stylianos Savva
https://arxiv.org/abs/2507.11700 https://arxiv.org/pdf/…

Norm-Stabilized Imaginary-Time Evolution via Feedback Control
We present a norm-stabilized imaginary-time evolution (ITE) scheme for the one-dimensional nonlinear Schrodinger equation (NLSE). Traditional ITE solvers often require explicit renormalization of the wavefunction after each step to preserve norm, which can be disruptive and algorithmically inflexible. We propose an alternative approach in which the evolution is continuously stabilized using an adaptive feedback term mu(tau), proportional to the time derivative of the wavefunction norm. This res…

Mehr und mehr Herbst in der Luft. Morgens kühl, Himmel eher grau, im Gras Tau und erste gefallene Blätter.

Cosmic $\tau$ensions Indirectly Correlate with Reionization Optical Depth
Itamar J. Allali, Lingfeng Li, Praniti Singh, JiJi Fan
https://arxiv.org/abs/2509.09678 https://…

Cosmic $τ$ensions Indirectly Correlate with Reionization Optical Depth
The reionization optical depth $τ_{\rm reio}$ has interesting connections to existing cosmological anomalies. As first studied in the context of the Hubble tension in our previous paper, a larger $τ_{\rm reio}$, which could be achieved by removing the Planck low-$\ell$ polarization data, could boost $H_0$ slightly, resulting in a mild reduction of the tension between the early- and late-universe determinations of $H_0$. It has been shown later that a larger $τ_{\rm reio}$ could also relieve …

Multi-frequency analysis of the ALMA and VLA high resolution continuum observations of the substructured disc around CI Tau. Preference for sub-mm-sized low-porosity amorphous carbonaceous grains
Francesco Zagaria, Stefano Facchini, Pietro Curone, Jonathan P. Williams, Cathie J. Clarke, \'Alvaro Ribas, Marco Tazzari, Enrique Mac\'ias, Richard A. Booth, Giovanni P. Rosotti, Leonardo Testi

Multi-frequency analysis of the ALMA and VLA high resolution continuum observations of the substructured disc around CI Tau. Preference for sub-mm-sized low-porosity amorphous carbonaceous grains
(Abridged) We present high angular resolution and sensitivity ALMA 3.1 mm and VLA 9.1 mm observations of the disc around CI Tau. These new data were combined with similar-resolution archival ALMA 0.9 and 1.3 mm observations and new and archival VLA 7.1 mm, 2.0, 3.0, and 6.0 cm photometry to study the properties of dust in this system. At wavelengths <3.1 mm, CI Tau's continuum emission is very extended and highly substructured (with three gaps, four rings, and two additional gap-ring pairs iden…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[4/4]:
- petBrain: A New Pipeline for Amyloid, Tau Tangles and Neurodegeneration Quantification Using PET ...
Coup\'e, Mansencal, Morandat, Morell-Ortega, Villain, Manj\'on, Planche

Models for the Electric Dipole Moment and Anomalous Magnetic Moment of the Tau Lepton
Yuichiro Nakai, Yoshihiro Shigekami, Peng Sun, Zhihao Zhang
https://arxiv.org/abs/2508.05935

Models for the Electric Dipole Moment and Anomalous Magnetic Moment of the Tau Lepton
The Belle II experiment and other ongoing and projected lepton facilities are expected to greatly enhance the sensitivity to the electric dipole moment (EDM) and anomalous magnetic moment ($g-2$) for the tau lepton, making it timely to explore models that predict these observables. We present a class of models that generate a sizable EDM and $g-2$ of the tau lepton via radiative tau mass generation. Two benchmark models with different hypercharge assignments are investigated. The first model co…

Experimental dataset from BESIII detector at Beijing electron positron collider
Minghua Liao, Jianshu Liu, Xinnan Wang, Shengsen Sun, Zhengyun You
https://arxiv.org/abs/2509.16066

Experimental dataset from BESIII detector at Beijing electron positron collider
In the BESIII detector at Beijing electron positron collider, billions of events from $e^+e^-$ collisions were recorded. These events passing through the trigger system were saved in raw data format files. They play an important role in the study of physics in tau-charm energy region. Here, we published an $e^+e^-$ collision dataset containing both Monte Carlo simulation samples and real data collected by the BESIII detector. The data pass through the detector trigger system, file format conver…

Transitivity of mutation of $\tau$-exceptional sequences in the $\tau$-tilting finite case
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
https://arxiv.org/abs/2506.21372

Transitivity of mutation of $τ$-exceptional sequences in the $τ$-tilting finite case
We prove that mutation of complete $τ$-exceptional sequences is transitive for $τ$-tilting finite algebras.

The Variable Radio Emission of V830 Tau and Its Putative Planet
Rachel A. Osten, Scott J. Wolk
https://arxiv.org/abs/2509.05082 https://arxiv.org/pdf/2509.…

The Variable Radio Emission of V830 Tau and Its Putative Planet
We report on the first moderate-length time-scale observations of a young stellar object (YSO) at microwave frequencies. V830 Tau was monitored over the course of eight days with the JVLA at a frequency range of 4-8 GHz. Previous brief radio observations of this purported planet-hosting star indicated a radio-bright source with sparse evidence of dramatic intensity changes. Our observations confirm variability larger than a factor of five over the 8 days, with closer-spaced data indicating a lo…

{\tau}-Ring: A Smart Ring Platform for Multimodal Physiological and Behavioral Sensing
Jiankai Tang, Zhe He, Mingyu Zhang, Wei Geng, Chengchi Zhou, Weinan Shi, Yuanchun Shi, Yuntao Wang
https://arxiv.org/abs/2508.00778

τ-Ring: A Smart Ring Platform for Multimodal Physiological and Behavioral Sensing
Smart rings have emerged as uniquely convenient devices for continuous physiological and behavioral sensing, offering unobtrusive, constant access to metrics such as heart rate, motion, and skin temperature. Yet most commercial solutions remain proprietary, hindering reproducibility and slowing innovation in wearable research. We introduce τ-Ring, a commercial-ready platform that bridges this gap through: (i) accessible hardware combining time-synchronized multi-channel PPG, 6-axis IMU, temper…

Investigating Hardware Injections in LIGO O3 Data: Simulated Signals from a Neutron Star in a Low-Mass X-ray Binary
Jediah Tau, John T. Whelan
https://arxiv.org/abs/2509.00907 h…

Investigating Hardware Injections in LIGO O3 Data: Simulated Signals from a Neutron Star in a Low-Mass X-ray Binary
During LIGO s third observing run (O3), simulated continuous gravitational wave (CW) signals were added to the detectors via hardware (HW) injections, which are physical injections into the interferometer control loop. These included two periodic signals mimicking a spinning neutron star in a binary system, similar to the low-mass X-ray binary Scorpius X-1 (Sco X-1). HW injections serve as an important validation of a search method, as they occur before data cleaning and preparation. We searche…

FlexOlmo: Open Language Models for Flexible Data Use
Weijia Shi, Akshita Bhagia, Kevin Farhat, Niklas Muennighoff, Pete Walsh, Jacob Morrison, Dustin Schwenk, Shayne Longpre, Jake Poznanski, Allyson Ettinger, Daogao Liu, Margaret Li, Dirk Groeneveld, Mike Lewis, Wen-tau Yih, Luca Soldaini, Kyle Lo, Noah A. Smith, Luke Zettlemoyer, Pang Wei Koh, Hannaneh Hajishirzi, Ali Farhadi, Sewon Min

FlexOlmo: Open Language Models for Flexible Data Use
We introduce FlexOlmo, a new class of language models (LMs) that supports (1) distributed training without data sharing, where different model parameters are independently trained on closed datasets, and (2) data-flexible inference, where these parameters along with their associated data can be flexibly included or excluded from model inferences with no further training. FlexOlmo employs a mixture-of-experts (MoE) architecture where each expert is trained independently on closed datasets and la…

Replaced article(s) found for math.AC. https://arxiv.org/list/math.AC/new
[1/1]:
- Characterizing Baer Modules Over $\tau_q$-Semisimple Rings: An Extension of Baer's Problem
Xiaolei Zhang, Hwankoo Kim

Brazil: Protect the mangroves and tropical forests of Tauš-Mirim! https://www.rainforest-rescue.org/petitions/1305/brazil-protect-the-mangroves-and-tropical-forests-of-taua-mirim

#petition Brazil: Protect the mangroves and tropical forests of Tauá-Mirim!
The people of the Tauá-Mirim region in the Amazon are urgently calling on the Brazilian government to protect their land. The rivers, mangroves and tropical forests south of São Luís in the state of Maranhão are threatened by infrastructure, industrial, and agricultural projects. Please support our petition.

Ti\={a}ngu\={a}n ($\zeta$ Tau) as a binary system consisting of a Be-star and an accreting White Dwarf: opening a gate to understanding enigmatic $\gamma$ Cas analogues
Jes\'us A. Toal\'a, Lidia M. Oskinova, Diego A. Vasquez-Torres
https://arxiv.org/abs/2507.05203

Tiānguān ($ζ$ Tau) as a binary system consisting of a Be-star and an accreting White Dwarf: opening a gate to understanding enigmatic $γ$ Cas analogues
The analogues of $γ$ Cassiopea are binary early type Be stars which are X-ray bright and have hard thermal X-ray spectra. The nature of low-mass companions in these stars and mechanisms of their X-ray emission remain enigmatic. Among the proposed ideas is the presence of an accretion disc around a white dwarf (WD) companion to the Be star donor. We use modern radiative transfer models accounting for reflection physics in order to calculate the synthetic spectra of such systems, and assume that…

Happel's question, Han's conjecture and $\tau$-Hochschild (co)homology
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar
https://arxiv.org/abs/2509.05135

Happel's question, Han's conjecture and $τ$-Hochschild (co)homology
We introduce the $τ$-Hochschild (co)homology of a finite dimensional associative algebra $Λ$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $Λ$, Happel's question and Han's conjecture are related to the $τ$-Hochschild (co)homology.

Zeeman Doppler Imaging of $\tau$Ceti: The Weakest Magnetic Field Detected in a Sun-like Star
Federica Chiti, Oleg Kochukhov, Jennifer L. van Saders, Travis S. Metcalfe
https://arxiv.org/abs/2509.12310 …

Zeeman Doppler Imaging of $τ$Ceti: The Weakest Magnetic Field Detected in a Sun-like Star
For nearly a decade, observations have shown that many older Sun-like stars spin faster than predicted, a phenomenon known as weakened magnetic braking (WMB). The leading hypothesis for WMB is a weakening of the large-scale dipole field, which leads to a less efficient angular momentum loss. To test this hypothesis on a star known to be in the WMB regime, we present the first Zeeman Doppler Imaging (ZDI) map of the Sun-like star $τ$Ceti, reconstructed using spectropolarimetric data from the Ca…

A class of Nakayama algebras with a braid group action on $\tau$-exceptional sequences
H{\aa}vard Utne Terland
https://arxiv.org/abs/2507.07608 https://

A class of Nakayama algebras with a braid group action on $τ$-exceptional sequences
We show that the mutation of $τ$-exceptional sequences over cyclic Nakayama algebras $Λ$ where all projectives have length exactly $|Λ|$ respects the braid group relations.

Scattering number and $\tau$-toughness in graphs involving $A_\alpha$-spectral radius
Caili Jia, Yong Lu
https://arxiv.org/abs/2509.01050 https://arxiv.org…

Scattering number and $τ$-toughness in graphs involving $A_α$-spectral radius
The scattering number $s(G)$ of graph $G=(V,E)$ is defined as $s(G)$=max\big\{$c(G-S)-|S|$\big\}, where the maximum is taken over all proper subsets $S\subseteq V(G)$, and $c(G-S)$ denotes the number of components of $G-S$. In 1988, Enomoto introduced a variation of toughness $τ(G)$ of a graph $G$, which is defined by $τ(G)$=min\big\{$\frac{|S|}{c(G-S)-1}$, $S\subseteq V(G)$ and $c(G-S)>1$\big\}. Both the scattering number and toughness are used to characterize the invulne…

GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Models
5 Team, Aohan Zeng, Xin Lv, Qinkai Zheng, Zhenyu Hou, Bin Chen, Chengxing Xie, Cunxiang Wang, Da Yin, Hao Zeng, Jiajie Zhang, Kedong Wang, Lucen Zhong, Mingdao Liu, Rui Lu, Shulin Cao, Xiaohan Zhang, Xuancheng Huang, Yao Wei, Yean Cheng, Yifan An, Yilin Niu, Yuanhao Wen, Yushi Bai, Zhengxiao Du, Zihan Wang, Zilin Zhu, Bohan Zhang, Bosi Wen, Bowen Wu, Bowen Xu, Can Huang, Casey Zhao, Changpeng Cai, Chao Yu, Chen Li, Chendi …

GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Models
We present GLM-4.5, an open-source Mixture-of-Experts (MoE) large language model with 355B total parameters and 32B activated parameters, featuring a hybrid reasoning method that supports both thinking and direct response modes. Through multi-stage training on 23T tokens and comprehensive post-training with expert model iteration and reinforcement learning, GLM-4.5 achieves strong performance across agentic, reasoning, and coding (ARC) tasks, scoring 70.1% on TAU-Bench, 91.0% on AIME 24, and 64…

An easy proof of Ramanujan's famous congruences $p(5m 4)\equiv 0 \equiv \tau(5m 5) \pmod 5$
Hartosh Singh Bal, Gaurav Bhatnagar
https://arxiv.org/abs/2509.00532 https://

An easy proof of Ramanujan's famous congruences $p(5m+4)\equiv 0 \equiv τ(5m+5) \pmod 5$
We present a proof of Ramanujan's congruences $$p(5n+4) \equiv 0 \pmod 5 \text{ and } τ(5n+5) \equiv 0 \pmod 5.$$ The proof only requires a limiting case of Jacobi's triple product, a result that Ramanujan knew well, and a technique which Ramanujan used himself to compute values of $τ(n)$.

Bridging Classical Molecular Dynamics and Quantum Foundations for Comprehensive Protein Structural Analysis
Don Roosan, Rubayat Khan, Tiffany Khou, Saif Nirzhor, Fahmida Hai, Brian Provencher
https://arxiv.org/abs/2506.20830

Bridging Classical Molecular Dynamics and Quantum Foundations for Comprehensive Protein Structural Analysis
The objective of this paper is to investigate the structural stability, dynamic properties, and potential interactions among Amyloid Precursor Protein (APP), Tau, and Alpha-synuclein through a series of molecular dynamics simulations that integrate publicly available structural data, detailed force-field parameters, and comprehensive analytical protocols. By focusing on these three proteins, which are each implicated in various neurodegenerative disorders, the study aims to elucidate how their …

Detailed radial scale height profile of dust grains as probed by dust self-scattering in HL Tau
Haifeng Yang, Ian W. Stephens, Zhe-Yu Daniel Lin, Manuel Fern\'andez-L\'opez, Zhi-Yun Li, Leslie W. Looney, Rachel Harrison
https://arxiv.org/abs/2508.01233

Detailed radial scale height profile of dust grains as probed by dust self-scattering in HL Tau
The vertical settling of dust grains in a circumstellar disk, characterized by their scale height, is a pivotal process in the formation of planets. This study offers in-depth analysis and modeling of the radial scale height profile of dust grains in the HL Tau system, leveraging high-resolution polarization observations. We resolve the inner disk's polarization, revealing a significant near-far side asymmetry, with the near side being markedly brighter than the far side in polarized intensity.…

Crosslisted article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- Modular transformations of tau functions and conformal blocks on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko

Search for the nonresonant and resonant production of a Higgs boson in association with an additional scalar boson in the $\gamma\gamma\tau\tau$ final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
CMS Collaboration
https://arxiv.org/abs/2506.23012

Search for the nonresonant and resonant production of a Higgs boson in association with an additional scalar boson in the $γγττ$ final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
The results of a search for the production of two scalar bosons in final states with two photons and two tau leptons are presented. The search considers both nonresonant production of a Higgs boson pair, HH, and resonant production via a new boson X which decays either to HH or to H and a new scalar Y. The analysis uses up to 138 fb$^{-1}$ of proton-proton collision data, recorded between 2016 and 2018 by the CMS experiment at the LHC at a center-of-mass energy of 13 TeV. No evidence for signal…

Impact of coherent wiggler radiation impedance in Tau-Charm factories
Tianlong He, Ye Zou, Demin Zhou, Hao Zhou, Hangzhou Li, Linhao Zhang, Tao Liu, Weiwei Li, Jingyu Tang
https://arxiv.org/abs/2507.22392

Impact of coherent wiggler radiation impedance in Tau-Charm factories
Coherent synchrotron radiation (CSR) has long been recognized as a significant source of longitudinal impedance driving microwave instability in electron storage rings. In the pursuit of higher luminosity, next-generation circular $e^+e^-$ colliders operating in the few-GeV energy range, such as B-factories and Tau-Charm factories, are being designed with low-emittance beams and high beam currents. Damping wigglers are commonly introduced to reduce damping times and control beam emittance. In t…

Towards the {\tau}-function of the quantum groups
Maxim Chepurnoi, Mikhail Sharov
https://arxiv.org/abs/2508.20966 https://arxiv.org/pdf/2508.20966

Towards the τ-function of the quantum groups
Non-perturbative partition functions of quantum theories constitute a class of $τ-$functions, which are distinguished satisfying Hirota's bilinear identities(BI). To make this statement general, there must be a proper definition of $τ-$function that gives rise to a set of bilinear identities. In the classical definition of $τ-$function for integrable Toda or KP hierarchies, there is a restriction on matrix elements to be based on group-like elements with the comultiplication $Δ(g)=g \otimes…

Time-resolved protoplanetary disk physics in DQ Tau with JWST
\'A. K\'osp\'al, P. \'Abrah\'am, V. V. Akimkin, L. Chen, J. Forbrich, K. V. Getman, B. Portilla-Revelo, D. Semenov, S. E. van Terwisga, J. Varga, L. Zwicky, G. G. Bal\'azs, Zs. Bora, \'A. Horti-D\'avid, A. P. Jo\'o, W. Og{\l}oza, B. Seli, M. Siwak, \'A. S\'odor, N. Tak\'acs

Time-resolved protoplanetary disk physics in DQ Tau with JWST
Accretion variability is ubiquitous in YSOs. While large outbursts may strongly affect the disk, the effects of moderate bursts are less understood. We aim to study the physical response of the disk around the eccentric binary system DQ Tau to its periodic accretion changes. We organized a multi-wavelength campaign centered on four JWST/MIRI spectra. We targeted three periastrons (high accretion state) and one apastron (quiescence). We used optical and near-infrared spectroscopy and photometry …

Abstract Formulation of Mean-Field Models and Propagation of Chaos
Tau Shean Lim, Chao Dun Teoh
https://arxiv.org/abs/2508.02224 https://arxiv.org/pdf/2508…

Abstract Formulation of Mean-Field Models and Propagation of Chaos
In this work, we formulate an abstract framework to study mean-field systems. In contrast to most approaches in the available literature which primarily rely on the analysis of SDEs, ours is based on optimal transport and semigroup theory. This allows for the inclusion of a wider range of mean-field particle systems within a unified structure. This new approach involves: (1) constructing an abstract framework using semigroups and generators; (2) formulating a corresponding mean-field evolution …

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…

Learning to Reason for Factuality
Xilun Chen, Ilia Kulikov, Vincent-Pierre Berges, Barlas O\u{g}uz, Rulin Shao, Gargi Ghosh, Jason Weston, Wen-tau Yih
https://arxiv.org/abs/2508.05618

Learning to Reason for Factuality
Reasoning Large Language Models (R-LLMs) have significantly advanced complex reasoning tasks but often struggle with factuality, generating substantially more hallucinations than their non-reasoning counterparts on long-form factuality benchmarks. However, extending online Reinforcement Learning (RL), a key component in recent R-LLM advancements, to the long-form factuality setting poses several unique challenges due to the lack of reliable verification methods. Previous work has utilized autom…

Replaced article(s) found for hep-ex. https://arxiv.org/list/hep-ex/new
[1/1]:
- Sensitivity Study of the Tau Lepton Electric Dipole Moment at the Super Tau-Charm Facility
Xulei Sun, Yongcheng Wu, Xiaorong Zhou

MetaCLIP 2: A Worldwide Scaling Recipe
Yung-Sung Chuang, Yang Li, Dong Wang, Ching-Feng Yeh, Kehan Lyu, Ramya Raghavendra, James Glass, Lifei Huang, Jason Weston, Luke Zettlemoyer, Xinlei Chen, Zhuang Liu, Saining Xie, Wen-tau Yih, Shang-Wen Li, Hu Xu
https://arxiv.org/abs/2507.22062

MetaCLIP 2: A Worldwide Scaling Recipe
Contrastive Language-Image Pretraining (CLIP) is a popular foundation model, supporting from zero-shot classification, retrieval to encoders for multimodal large language models (MLLMs). Although CLIP is successfully trained on billion-scale image-text pairs from the English world, scaling CLIP's training further to learning from the worldwide web data is still challenging: (1) no curation method is available to handle data points from non-English world; (2) the English performance from existin…

Optics design of the Super Tau-Charm Facility collider rings
Ye Zou, Linhao Zhang, Tao Liu, Penghui Yang, Weiwei Li, Tianlong He, Demin Zhou, Kazuhito Ohmi, Sangya Li, Ze Yu, Yihao Mo, Hangzhou Li, Hao Zhou, Jiajun Gao, Zeyuan Meng, Qing Luo, Lei Wang, Youjin Yuan, Jingyu Tang
https://arxiv.org/abs/2507.18924…

Optics design of the Super Tau-Charm Facility collider rings
The Super Tau-Charm Facility (STCF), China's next-generation electron-positron collider, targets an unprecedented luminosity exceeding 5x10^34 cm^-2 s^-1 at a center-of-mass energy of 4 GeV. The implementation of a submillimeter vertical beta function at interaction point (< 1 mm) and crab-waist collision scheme in this low-energy regime introduces critical challenges through severe nonlinear effects that constrain dynamic aperture and degrade Touschek lifetime. To address these constraints, we…

The Fourier coefficients and singular moduli of the elliptic modular function $j(\tau)$, revisited
Toshiki Matsusaka
https://arxiv.org/abs/2507.21514 https://

The Fourier coefficients and singular moduli of the elliptic modular function $j(τ)$, revisited
Kaneko's formula expresses the Fourier coefficients of the elliptic modular $j$-function as finite sums of singular moduli. First published as a short article in 1996, it was presented as a consequence of Zagier's work inspired by Borcherds products. Since then, the formula has developed into a broader framework that links the Fourier coefficients of modular forms to the special values of modular functions, extending in various directions. This article surveys these subsequent developments.

Bricks and $\tau$-tilting theory under base field extensions
Erlend D. B{\o}rve, Eric J. Hanson, Maximilian Kaipel
https://arxiv.org/abs/2508.01040 https://

Bricks and $τ$-tilting theory under base field extensions
Let $K:k$ be a field extension and let $Λ$ be a finite-dimensional $k$-algebra. We investigate the relationship between $Λ$ and $Λ_K = Λ\otimes_k K$ with particular emphasis on various aspects of $τ$-tilting theory and bricks. We show that many types of objects for $Λ$ lift injectively to the same type of object for $Λ_K$, and many common constructions in $τ$-tilting theory commute with the process of extending the base field. One of our main applications is the construction of a faithf…

Exploring the Null Results in the Direct Detection Experiments and the $\mathbf{(g-2)_\ell}$ in an Extended $\mathbf{U(1)_{L_\mu-L_\tau}}$ Model Constrained through the $\mathbf{Z\to\ell^ \ell^-}$ Decays
Bibhabasu De
https://arxiv.org/abs/2509.10939

Exploring the Null Results in the Direct Detection Experiments and the $\mathbf{(g-2)_\ell}$ in an Extended $\mathbf{U(1)_{L_μ-L_τ}}$ Model Constrained through the $\mathbf{Z\to\ell^+\ell^-}$ Decays
The Direct Detection (DD) experiments are vital for probing the particle nature of the Dark Matter (DM). However, in the absence of a scattering event, DD searches result in stringent bounds on the corresponding parameter space. The paper has considered a $U(1)_{L_μ-L_τ}$-extension of the Standard Model (SM) and augmented the particle spectrum with $SU(2)_L$-singlet vector-like leptons and scalars. Further, a discrete $Z_2$ symmetry stabilizes the lightest SM-singlet vector-like lepton as the…

Polarized tau decay and CP violation in ultraperipheral heavy-ion collisions
Amaresh Jaiswal
https://arxiv.org/abs/2509.02228 https://arxiv.org/pdf/2509.02…

Polarized tau decay and CP violation in ultraperipheral heavy-ion collisions
We investigate the role of $τ$-lepton polarization in ultraperipheral heavy-ion collisions (UPCs) as a novel application of the intense electromagnetic fields generated in such processes. In particular, we analyze the decay distributions of polarized $τ$-leptons produced via photon-photon fusion, focusing on both leptonic and semi-leptonic channels. We show that the external magnetic field present in UPCs induces a preferred spin quantization axis, which modifies the angular and energy distri…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/1]:
- Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang

JVLA Measurement of Grain Size in the Compact Dust Ring around Class I Protostar WL 17
Jun Hashimoto, Hauyu Baobab Liu, Ruobing Dong, Beibei Liu, Takayuki Muto
https://arxiv.org/abs/2507.08246

JVLA Measurement of Grain Size in the Compact Dust Ring around Class I Protostar WL 17
The maximum grain size in protoplanetary disks is a critical parameter for planet formation, as the efficiency of mechanisms like streaming instability and pebble accretion depend on grain size. Even young class 0/I objects, such as HL Tau, show substructures in their disks, indicating the potential for early planet formation. In this study, we investigated the grain size in the dust surrounding the class I object WL 17 using the Karl G. Jansky Very Large Array. Observations were conducted acro…

How Can Input Reformulation Improve Tool Usage Accuracy in a Complex Dynamic Environment? A Study on $\tau$-bench
Venkatesh Mishra, Amir Saeidi, Satyam Raj, Mutsumi Nakamura, Jayanth Srinivasa, Gaowen Liu, Ali Payani, Chitta Baral
https://arxiv.org/abs/2508.20931

How Can Input Reformulation Improve Tool Usage Accuracy in a Complex Dynamic Environment? A Study on $τ$-bench
Recent advances in reasoning and planning capabilities of large language models (LLMs) have enabled their potential as autonomous agents capable of tool use in dynamic environments. However, in multi-turn conversational environments like $τ$-bench, these agents often struggle with consistent reasoning, adherence to domain-specific policies, and extracting correct information over a long horizon of tool-calls and conversation. To capture and mitigate these failures, we conduct a comprehensive m…

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$
Blake Jackson
https://arxiv.org/abs/2507.02218 https://a…

A geometric model for the non-$τ$-rigid modules of type $\widetilde{D}_n$
We give a geometric model for the non-$τ$-rigid modules over acyclic path algebras of type $\widetilde{D}_n$. Similar models have been provided for module categories over path algebras of types $A_n, D_n,$ and $\widetilde{A}_n$ as well as the $τ$-rigid modules of type $\widetilde{D}_n$. A major draw of these geometric models is the "intersection-dimension formulas" they often come with. These formulas give an equality between the intersection number of the curves representing the modules in t…

Replaced article(s) found for hep-ex. https://arxiv.org/list/hep-ex/new
[1/1]:
- Sensitivity Study of the Tau Lepton Electric Dipole Moment at the Super Tau-Charm Facility
Xulei Sun, Yongcheng Wu, Xiaorong Zhou

Polarization Probes of New Physics in Lepton-Flavor-Violating Hyperon Production from $e^- N \to \tau^- Y$ Scattering
Xin-Shuai Yan, Zhen-Qing Hu, Qin Chang, Ya-Dong Yang
https://arxiv.org/abs/2506.23804

Polarization Probes of New Physics in Lepton-Flavor-Violating Hyperon Production from $e^- N \to τ^- Y$ Scattering
While charged lepton-flavor-violating tau decays to strange mesons provide powerful probes of the underlying $τ\to\ell d \bar{s}$ transition, the corresponding decay modes involving hyperons are kinematically forbidden. To address this gap, we propose the quasi-elastic scattering processes $e^- N \to τ^- Y$. Within a general low-energy effective Lagrangian, we perform a comprehensive analysis of the final-state polarizations of both the $τ$ lepton and the hyperon $Y$, systematically addressi…

Replaced article(s) found for hep-ex. https://arxiv.org/list/hep-ex/new
[1/1]:
- Search for lepton-flavor-violating tau decays to $\ell\alpha$ at Belle
Belle Collaboration, et al.

On the Detection of Exorings in Reflected Light with JWST NIRCam
Rachel Bowens-Rubin, Mary Anne Limbach, Sam Hopper, Klaus Subbotina Stephenson, Matson Garza, Leigh N. Fletcher, Matthew Hedman
https://arxiv.org/abs/2509.07118

On the Detection of Exorings in Reflected Light with JWST NIRCam
When directly imaging a cold giant exoplanet hosting a ring system, the reflected light from the rings can outshine the planet's thermal emission and reflected-light in the near-infrared. Consequently, an exoring may be detectable at a significantly lower contrasts than is required to image the exoplanet itself. Here we investigate the detectability of exorings in near-infrared reflected light using NIRCam coronagraphy PanCAKE simulations of two nearby mature stars, Proxima Centauri and Tau Cet…

QCD condensates and $\alpha_s$ from $e^ e^-$ and $\tau$-decays
Stephan Narison (LUPM-CNRS Montpellier-FR,iHEPMAD-Univ. Antananarivo-MG)
https://arxiv.org/abs/2508.05434 https://…

QCD condensates and $α_s$ from $e^+e^-$ and $τ$-decays
In this talk, I review the determinations of the QCD condensates and $α_s$ within the SVZ expansion using the ratio of Laplace sum rule (LSR) and $τ$-like moments in $e^+e^-\to I=1$ Hadrons and in $τ\to ν_τ+$Hadrons Axial-vector (A) and V-A channels. Some misprints in the original papers [1-3] have been corrected. We found that the value of the gluon condensate agrees with the one $\langle α_s G^2\rangle=(6.35\pm 0.35)\times 10^{-2}$ GeV$^4$ from quarkonia and some other sum rules but les…

Probing maximal flavor changing $Z'$ in $U(1)_{L_\mu-L_\tau}$ at $\mu$TRISTAN
Fei Huang, Jin Sun
https://arxiv.org/abs/2507.04614 https://

Probing maximal flavor changing $Z'$ in $U(1)_{L_μ-L_τ}$ at $μ$TRISTAN
We explore the potential to detect the $U(1)_{L_μ-L_τ}$ model featuring triplet scalars $Δ$ at the $μ$TRISTAN collider. The new gauge boson $Z'$, arising from the spontaneous breaking of $U(1)_{L_μ-L_τ}$, can exhibit maximal flavor changing interactions under the exchange symmetry, while $Δ$ mediates the flavor conserving interactions. The absence of muon $(g-2)_μ$ can be explained by interference effects arising from opposite contributions of $Z'$ and $Δ$, with similar interference pa…

On $\tau$ Spin Use with KKMCee
J. M. John, Ananya Tapadar, Zbigniew Was
https://arxiv.org/abs/2509.04400 https://arxiv.org/pdf/2509.04400

On $τ$ Spin Use with KKMCee
Spin of $τ$ represents an interesting phenomenology data point in both its production from $e^+ e^-$ collision and its subsequent decay. In precision applications such as Belle-II or FCC, where precision tagging is comparable or better than $0.1 \%$ Monte Carlo applications are usually necessary. \texttt{KKMCee}, the precision Monte Carlo program, is assuring such high precision in a broad energy range. But so far, spin effects were not easy to grasp. We introduce into \texttt{KKMCee}, \texttt…

Search for squarks and gluinos in $pp$ collisions at $\sqrt{s} = 13$ TeV and $13.6$ TeV in events with $\tau$-leptons, jets and missing transverse momentum using the ATLAS detector
ATLAS Collaboration
https://arxiv.org/abs/2507.00296

Search for squarks and gluinos in $pp$ collisions at $\sqrt{s} = 13$ TeV and $13.6$ TeV in events with $τ$-leptons, jets and missing transverse momentum using the ATLAS detector
A search for R-parity-conserving supersymmetry in events with large missing transverse momentum, jets and at least one hadronically decaying $τ$-lepton is presented. Both gluino and squark pair production are considered, with the cascade decay of each gluino or squark producing either a $τ$-slepton or a $τ$-sneutrino. Three channels are examined, requiring either exactly one hadronically decaying $τ$-lepton and no other leptons, exactly one hadronically decaying $τ$-lepton and at least one…

LHC and dark matter implications of t-b-{\tau} Yukawa unification in split SUSY GUTs
Mureed Hussain, Rizwan Khalid, Cem Salih Un
https://arxiv.org/abs/2507.02566

LHC and dark matter implications of t-b-τ Yukawa unification in split SUSY GUTs
We investigate a grand unification (GUT) inspired version of the minimal supersymmetric standard model (MSSM) based on a left-right symmetric $4$-$2$-$2$ gauge group, incorporating Yukawa coupling unification and current phenomenological constraints. Utilizing a split soft supersymmetry-breaking (SSB) parameter space motivated by flavor symmetries, we analyze the implications of recent results from ATLAS, CMS, LHCb, and dark matter direct detection experiments. Our numerical scans, cond…

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…

Enabling Sub-GeV Dark Matter within the Vanilla $L_\mu$-$L_\tau$ Model
Nicol\'as Bernal, Jacinto P. Neto, Javier Silva-Malpartida, Farinaldo S. Queiroz
https://arxiv.org/abs/2507.02048

Enabling Sub-GeV Dark Matter within the Vanilla $L_μ$-$L_τ$ Model
Thermal dark matter is a compelling setup that has been probed by a multitude of experiments, mostly in the GeV-TeV mass range. The thermal paradigm in the sub-GeV range is about to experience the same experimental test with the next generation of low-energy accelerators and light dark matter detectors. Motivated by this, we investigate sub-GeV dark matter in the $L_μ-L_τ$ and assess how the introduction of a matter-dominated era impacts the parameter that yields the correct relic density. In…

Towards a detection of reactor $\overline{\nu}^{}_e \to \overline{\nu}^{}_\mu$ and $\overline{\nu}^{}_e \to \overline{\nu}^{}_\tau$ oscillations with possible CP violation
Yifang Wang, Zhi-zhong Xing, Shun Zhou
https://arxiv.org/abs/2509.00422

Towards a detection of reactor $\overlineν^{}_e \to \overlineν^{}_μ$ and $\overlineν^{}_e \to \overlineν^{}_τ$ oscillations with possible CP violation
We propose an unprecedented detection of reactor $\overlineν^{}_e \to \overlineν^{}_μ$ and $\overlineν^{}_e \to \overlineν^{}_τ$ oscillations by using elastic antineutrino-electron scattering processes $\overlineν^{}_α+ e^- \to \overlineν^{}_α+ e^-$ (for $α= e, μ, τ$), among which the $\overlineν^{}_e$ events can be singled out by accurately measuring the $\overlineν^{}_e$ flux via the inverse beta decay $\overlineν^{}_e + p \to e^+ + n$. A proof-of-concept study shows that such…