We analyze determinants associated with Bessel kernels and generic symbol functions, which govern a class of observables across all values of the ’t Hooft coupling in supersymmetric gauge theories. Previous approaches, based on integro-differential equations, have provided systematic strong-coupling expansions for the logarithms of these determinants, expressed through the moments of the symbol. The resulting asymptotic series, once completed with non-perturbative terms, allowed the leading resurgence relations to be tested. In this Letter we focus directly on the determinants themselves, and we uncover a strikingly simple non-perturbative structure: all trans-series corrections share a universal form, while the moments transform in a direct and intuitive way. This simplicity points to an underlying organizing principle for the non-perturbative dynamics of gauge theory observables.

Hungary

Poland

Zoltan Bajnok

Bercel Boldis

Dennis le Plat

Universality in the resurgence of generalized Tracy-Widom distributions

We investigate an <italic>A</italic> <inf>4</inf>-symmetric extension of the Standard Model (SM) that generates a neutrino mass matrix characterized by the relation <math altimg='si35.svg'><mrow><mrow><mo>(</mo><msub><mi>M</mi><mi>&#957;</mi></msub><mo>)</mo></mrow><mn>22</mn><mo linebreak='goodbreak'>=</mo><mo>&#8722;</mo><mn>2</mn><msub><mrow><mo>(</mo><mi>M</mi><mi>&#957;</mi><mo>)</mo></mrow><mn>13</mn></msub></mrow></math>, derived through Weinberg-type operators in conjunction with the type-I seesaw framework. The analysis employs the Incomprehensible-but-Intelligible-in-time logics optimization Algorithm (ILA), an AI-driven numerical approach designed for parameters optimization. Within this framework, the model successfully produces the neutrino mixing angles, corresponding mass eigenvalues, effective neutrino mass parameters, Dirac <math altimg='si36.svg'><mo>&amp;</mo></math> Majorana CP violation phases and Jarlskog invariant for normal (NO) and inverted (IO) mass orderings, thereby providing experimentally verifiable predictions. In addition, the results remain compatible with the Planck cosmological upper bound on the total neutrino mass, 0.06&#8239;&lt;&#8239;&#931; <italic>m</italic>&#8239;&lt;&#8239;0.12&#8201;eV, reinforcing the phenomenological viability of the model.

Pakistan

Muhammad Waheed Aslam

Abrar Ahmad Zafar

Muhammad Naeem Aslam

Arifa Mirza

Saudi Arabia

Salman Saleem

Abdelhalim Hasnaoui

Revisiting a novel <italic>A</italic> <inf>4</inf> scenario for optimizing neutrino masses with AI-Based algorithm

Quasi-elastic (QEL) scattering measurements have been performed using the 28,30Si projectiles off the 90Zr target at energies around the Coulomb barrier. Coupled-channels (CC) calculations were carried out in a large parameter space of quadrupole and hexadecapole deformations for the N=Z, 28Si and N=Z+2, 30Si nuclei. 28Si at the N=Z line is observed to be uniquely oblate shaped in its ground state. In contrast, for 30Si with just two additional neutrons- oblate, prolate, and spherical CC descriptions are equally compatible with the measurements. To further investigate the nuclear structure evolution with varying neutron number, shell-model calculations were performed. These calculations reveal a sudden change in the nuclear structure aspects at 30Si in going from 28Si to 32Si. Combined reaction and structure analyses consistently indicate that 30Si does not possess a well-defined intrinsic shape, and it is a potential candidate for &#8220;shape fluctuations&#8221; in its ground state.

India

Y.K. Gupta

France

B. Maheshwari

G.K. Prajapati

A.K. Jain

Japan

K. Hagino

B.N. Joshi

A. Pal

N. Sirswal

Pawan Singh

S. Dubey

V.V. Desai

V. Ranga

V.B. Katariya

D. Patel

H. Vyas

S. Panwar

B.V. John

I. Mazumdar

B.K. Nayak

United States

U. Garg

Quasi-elastic scattering for the nuclear ground state structure: An intriguing case of 30Si

We present a fully differential computation of <math altimg='si4.svg'><mrow><msup><mi>e</mi><mo>+</mo></msup><mspace width='0.16em' /><msup><mi>e</mi><mo>&#8722;</mo></msup><mo>&#8594;</mo><mi>&#947;</mi><mspace width='0.16em' /><mi>&#947;</mi></mrow></math> at next-to-next-to-leading order in QED. The process has been implemented into <small-caps>McMule</small-caps>, completing its set of next-to-next-to-leading-order calculations for the most important 2&#8239;&#8594;&#8239;2 processes. The results allow for generic applications to electron-positron colliders with centre-of-mass energies up to a few GeV, particularly for luminosity measurements.

Switzerland

Tim Engel

Italy

Marco Rocco

Adrian Signer

United Kingdom

Yannick Ulrich

Low-energy <math altimg='si4.svg'><mrow><msup><mi>e</mi><mo>+</mo></msup><mspace width='0.16em' /><msup><mi>e</mi><mo>&#8722;</mo></msup><mo>&#8594;</mo><mi>&#947;</mi><mspace width='0.16em' /><mi>&#947;</mi></mrow></math> at NNLO in QED

We investigate the Berry phase arising from axion-photon and axion-fermion interactions. The effective Hamiltonians in both systems share the same form, enabling a unified description of the Berry phase and providing a novel perspective on axion experiments. We conceptually propose a new photon-ring experiment for axion detection. Furthermore, we demonstrate that measuring the axion-induced Berry phase offers a unique method for probing the global structure of the Standard Model gauge group and axion-related generalized symmetries.

China

Qing-Hong Cao

South Korea

Shuailiang Ge

Yandong Liu

Jun-Chen Wang

Berry phase in axion physics, SM global structure, and generalized symmetries

We investigate a cosmic scenario using a new transition parameterization of the <italic>Om</italic>( <italic>z</italic>) diagnostic, <math altimg='si4.svg'><mrow><mi>O</mi><mi>m</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mfrac><msup><mi>z</mi><mi>l</mi></msup><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>z</mi><mo>)</mo></mrow><mi>m</mi></msup></mfrac></mrow></math>, in the spatially flat Friedmann Lema&#238;tre Robertson-Walker (FLRW) framework. Using observational datasets such as Observational Hubble Data (OHD), Pantheon Plus (PP), and SH0ES, we analyze the evolution of the <italic>Om</italic>( <italic>z</italic>) function to probe deviations from the standard &#923;CDM model and constrain free parameter space <italic>H</italic> <inf>0</inf>, l, m using Markov Chain Monte Carlo (MCMC) analysis with the emcee sampler. Our analysis reveals a clear transition in the slope of <italic>Om</italic>( <italic>z</italic>) from negative to positive at transition redshift values <italic>z<inf>t</inf></italic>&#8239;&#8776;&#8239;1.41, 0.65, and 0.33 for the OHD, OHD+PP, and OHD+PP <math altimg='si5.svg'><mo>&amp;</mo></math>SH0ES datasets, respectively. This behavior suggests a dynamical evolution of dark energy, indicating a transition from a quintessence-like phase to a phantom regime. From the combined OHD+PP <math altimg='si5.svg'><mo>&amp;</mo></math>SH0ES dataset, we obtain a best-fit value of the Hubble constant <math altimg='si6.svg'><mrow><msub><mi>H</mi><mn>0</mn></msub><mo linebreak='goodbreak'>=</mo><mn>73.01</mn><mo>&#177;</mo><mn>0.36</mn><mspace width='0.16em' /><mrow><mi mathvariant='normal'>km</mi><mspace width='0.16em' /><msup><mi mathvariant='normal'>s</mi><mrow><mo>&#8722;</mo><mn>1</mn></mrow></msup><mspace width='0.16em' /><msup><mtext>Mpc</mtext><mrow><mo>&#8722;</mo><mn>1</mn></mrow></msup></mrow></mrow></math>, which is consistent with the SH0ES calibration and supports the viability of our model. Additionally, our analysis indicates that the current age of the Universe is approximately 13&#8239;&#8764;&#8239;14 Gyr from all available combinations of datasets, which is consistent with observational expectations. Further, we find that the deceleration-to-acceleration transition, which marks the beginning of cosmic acceleration, is inferred to occur within the redshift interval <italic>z<inf>t</inf></italic>&#8239;&#8712;&#8239;[0.5, 0.8], highlighting the emergence of dark energy as the dominant component in the Universe&#8217;s recent expansion history. Our transition <italic>Om</italic>( <italic>z</italic>) parameterization captured progressive cosmological changes and enabled seamless interpolation over cosmic epochs.

Manish Yadav

Archana Dixit

Anirudh Pradhan

M.S. Barak

Dynamical dark energy signatures from a new transition <italic>Om</italic>( <italic>z</italic>) parametrization in flat FLRW cosmology

The competition between the breakup channels in the 6Li + 209Bi fusion reaction at the above-barrier energies has been investigated using a classical dynamic model. By incorporating the breakup processes from the short-lived nucleus formed via direct excitation and <italic>n</italic>-stripping, the model provides a comprehensive description of both complete and incomplete fusion cross sections. Although the <italic>n</italic>-stripping channel exhibits a higher probability, it contributes less to the complete fusion cross section compared to the direct excitation channel. An unexpected behavior was observed in incomplete fusion at the above barrier energies: the light-fragment capture predominantly occurs near the critical angular momentum, while the <italic>&#945;</italic> capture is favored at lower angular momenta, particularly in cases with large mass asymmetry between the two fragments. These findings provide further insight into the origin of fusion suppression in reactions involving weakly bound nuclei.

Kai-Xuan Cheng

Chun-Wang Ma

Mechanism of breakup channel competition in the 6Li+ 209Bi system at above-barrier energies

Semilocal cosmic string is a line-like non-topological soliton associated with the breakdown of the <italic>SU</italic>(2) <inf>global</inf>&#8239;&#215;&#8239; <italic>U</italic>(1) <inf>gauge</inf> symmetry to the <italic>U</italic>(1) <inf>global</inf> symmetry. The broken phase has two massless Nambu&#8211;Goldstone (NG) modes as dynamical fields, and they can be emitted by semilocal strings. In this paper, we numerically show that such NG bosons are copiously produced with the evolution of the semilocal string network in the early universe. Our numerical analysis shows that the spectrum of produced particles has a peak at low momenta corresponding to the horizon scale. If the emitted NG bosons acquire mass due to soft-breaking terms, they can take the role of dark matter. This scenario typically predicts very light pseudo NG boson dark matter.

Yukihiro Kanda

Naoya Kitajima

Emission of Nambu–Goldstone bosons from the semilocal string network

Isospin symmetry constitutes a foundational principle in nuclear physics, with its violation giving rise to energy splitting between the ground states of mirror nuclei. In this work, we introduce a novel mass-difference formulation for mirror nuclei that incorporates a higher-order neutron-proton asymmetry term <italic>I</italic> 3, where <math altimg='si5.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mo>(</mo><mi>N</mi><mo linebreak='goodbreak'>&#8722;</mo><mi>Z</mi><mo>)</mo><mo>/</mo><mi>A</mi></mrow></math>, to investigate isospin symmetry breaking (ISB). For neutron-deficient nuclei (20&#8239;&lt;&#8239; <italic>A</italic>&#8239;&lt;&#8239;115), our model achieves a root-mean-square deviation (RMSD) of merely 47 keV relative to the AME2020 experimental dataset. Compared to predictions based on the AME2012 and AME2016 databases, the RMSD values for neutron-deficient nuclei in AME2020 decrease significantly-from 85 keV to 61 keV and from 49 keV to 47 keV, respectively-demonstrating the critical influence of ISB effects on improving nuclear mass extrapolation accuracy. We further extend our framework to recent data from Wang et al. (2023), obtaining excellent agreement between theoretical predictions and empirical observations. Additionally, we implement a linear mirror correction (MC) scheme to refine proton separation energy calculations. Remarkably, relative to AME2012 data, our approach reduces RMSDs by approximately 82% for one-proton separation energies and 95% for two-proton separation energies. When benchmarked against AME2016 data, these reductions reach 96% and 98%, respectively. The robustness of this linear MC methodology is further validated using previously untested AME2020 data, confirming its efficacy in enhancing proton separation energy prediction accuracy.

Qiu Huang

Yu-Ting Qiu

Jian-You Guo

Study of isospin symmetry breaking effects in mirror nuclei

The pattern of neutrino mixing, usually parameterized by the Pontecorvo-Maki-Nakagawa- Sakata <italic>U</italic> <inf>PMNS</inf> matrix, still remains a striking puzzle in particle physics. <italic>U</italic> <inf>PMNS</inf> is one of six possible products of multiplying three Euler matrices. Here we discuss the neutrino mixing matrix parameterization for three known flavours of neutrinos based on the SO(3) group represented by one three-dimensional rotation matrix <italic>U</italic> <inf>SO3</inf> and the CP-conserving phases <math altimg='si3.svg'><mrow><msub><mi>&#948;</mi><mrow><mrow><mi mathvariant='normal'>C</mi></mrow><mi>P</mi></mrow></msub><mo linebreak='goodbreak'>=</mo><msup><mn>0</mn><mo>&#8728;</mo></msup></mrow></math> and 180 &#8728;. The mixing matrix <italic>U</italic> <inf>SO3</inf> with cyclic order of the Lie group generators implies <math altimg='si6.svg'><mrow><msub><mi>&#948;</mi><mtext>CP</mtext></msub><mo linebreak='goodbreak'>=</mo><msup><mn>180</mn><mo>&#8728;</mo></msup></mrow></math> for clockwise rotation in three dimensions, a viable scenario for normal mass ordering. We determine a range of rotation angles for <italic>U</italic> <inf>SO3</inf> which deviate substantially from the almost maximal mixings in the standard <italic>U</italic> <inf>PMNS</inf> scenario, yielding &#8216;democratic&#8217; values for the mixing angles. On the other hand, <math altimg='si3.svg'><mrow><msub><mi>&#948;</mi><mrow><mrow><mi mathvariant='normal'>C</mi></mrow><mi>P</mi></mrow></msub><mo linebreak='goodbreak'>=</mo><msup><mn>0</mn><mo>&#8728;</mo></msup></mrow></math> CP-conserving case supports near-maximal mixing scenario. With the fixed <italic>&#948;</italic> <inf>CP</inf> value, the <italic>U</italic> <inf>SO3</inf> parameterization can be validated or falsified by the next generation of neutrinoless double beta decay experiments and puts a stringent constraint on the absolute neutrino mass. The proposed <italic>U</italic> <inf>SO3</inf> neutrino mixing parameterization is suited for independent CP-conserving neutrino oscillation experimental analysis.

Jarosław Duda

Janusz Gluza

Biswajit Karmakar

CP-conserving <italic>SO</italic>(3) parameterization of the neutrino mixing matrix