Using the pinch technique, we determine the one-loop vertices of weak interactions in the B-LSSM and incorporate their pinch contributions into the gauge boson self-energies. Compared to the definitions of the $\textit{S}$, $\textit{T}$, and $\textit{U}$ parameters in the Standard Model based on the $S U(2)_L \otimes U(1)_Y$ group, the corresponding parameters in the local B-L gauge symmetry (B-LSSM) are modified. We present these redefined $\textit{S}$, $\textit{T}$, and $\textit{U}$ parameters and demonstrate the convergence of the results. In the framework of the low-energy effective Lagrangian for weak interactions, the $\textit{S}$, $\textit{T}$, and $\textit{U}$ parameters can be expressed as functions of specific parameters in the B-LSSM. The updated experimental and fitting results strongly constrain the parameter space of the B-LSSM.

China

Sheng-Kai Cui

Ke-Sheng Sun

Yu-Li Yan

Jin-Lei Yang

Tai-Fu Feng

$\textit{S}$, $\textit{T}$, $\textit{U}$ parameters in the B-LSSM * Supported by the Natural Science Foundation of Guangxi Autonomous Region (2022GXNSFDA035068), the Natural Science Foundation of Hebei Province (A2022104001), and the Foundation of Baoding University (2023Z01)

We analyze the Macdonald’s ($\textit{q}$, $\textit{t}$)-deformed hypergeometric functions with one and two set variables and present their constraints. We prove the uniqueness to the solutions of these constraints. We propose a concise method to prove the superintegrability relations for ($\textit{q}$, $\textit{t}$)-deformed matrix models, where the constraints of hypergeometric functions play a crucial role. A conjectured superintegrability relation in the literature for the refined Chern–Simons model can be easily proved by our method. Moreover, we construct a general ($\textit{q}$, $\textit{t}$)-deformed matrix model. We give the constraint conditions for parameters in the integral. The superintegrability relations for the ($\textit{q}$, $\textit{t}$)-deformed integrals with allowed parameters are derived from the hypergeometric constraints.

Fan Liu

Rui Wang

Jie Yang

Wei-Zhong Zhao

Superintegrability for some ($\textit{q}$, $\textit{t}$)-deformed matrix models

In this paper, we investigate static, spherically symmetric traversable wormholes in the framework of symmetric teleparallel <italic>f</italic>( <italic>Q, T</italic>) gravity by considering the linear model <math altimg='si5.svg'><mrow><mi>f</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo><mo>=</mo><mi>&#945;</mi><mi>Q</mi><mo linebreak='goodbreak'>+</mo><mi>&#946;</mi><mi>T</mi></mrow></math>. By assuming a constant redshift function to describe zero tidal force geometries, we derive the corresponding field equations and obtain an analytic solution for the shape function by adopting a radially dependent equation of state of the form <math altimg='si6.svg'><mrow><msub><mi>p</mi><mi>r</mi></msub><mo linebreak='goodbreak'>+</mo><mi>&#969;</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow><mi>&#961;</mi><mo linebreak='goodbreak'>=</mo><mn>0</mn></mrow></math>, with <math altimg='si7.svg'><mrow><mi>&#969;</mi><mrow><mo>(</mo><mi>r</mi><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mi>A</mi><msup><mi>r</mi><mi>n</mi></msup></mrow></math>, where <italic>A</italic>&#8239;&gt;&#8239;0 and <italic>n</italic>&#8239;&gt;&#8239;0 are constants. The resulting wormhole configuration satisfies the fundamental geometric requirements, including the throat condition, the flare&#8211;out condition, and asymptotic flatness. The energy density remains positive and decreases with radius, while the null energy condition is violated only in the radial direction near the throat, indicating a localized exotic matter region. A Tolman&#8211;Oppenheimer&#8211;Volkoff analysis confirms that equilibrium is achieved through the balance between hydrostatic and anisotropic forces. Furthermore, the volume integral quantifier shows that the total amount of NEC&#8211;violating matter can be made arbitrarily small and confined close to the throat. The embedding diagrams support the geometric consistency of the solution. These results indicate that linear <italic>f</italic>( <italic>Q, T</italic>) gravity with a variable equation of state admits viable traversable wormhole solutions with minimized exotic matter content.

Morocco

Azerbaijan

M. Koussour

Saudi Arabia

H.M. ElKhair

Uzbekistan

N. Kurbonov

J. Rayimbaev

M.K.M. Ali

Static traversable wormholes supported by a variable equation of state in <italic>f</italic>( <italic>Q, T</italic>) gravity

We continue the investigation of symmetries and anomalies of $\textit{T}$[$\textit{M}$] theories obtained by compactifying 6d SCFTs on an internal manifold $\textit{M}$. We extend the notion of “polarizations on a manifold $\textit{M}$” to cases where $\textit{M}$ may have boundaries or defects. Through examples with $\textit{M}$ of dimension two, three, and four, we illustrate recurring themes in compactifications — for instance, the important roles played by Kaluza-Klein modes, and how the generalized symmetries (including higher-group and non-invertible ones) of $\textit{T}$[$\textit{M}$], together with their anomalies, arise from non-trivial combinations of the parent 6d symmetries and the geometric structures of the internal manifold. For each dimension, we also focus on several topics that are especially interesting in that setting. These include: for 2-manifolds, the geometry of the “full moduli space” of $\textit{T}$[$\textit{M}$ ] and its interaction with polarizations and symmetries; for 3-manifolds, the effect of torsion in homology on the spectrum of line operators in $\textit{T}$[$\textit{M}$ ], together with applications to the study of quantum invariants such as $$ {\hat{Z}}_a\left({M}_3,q\right) $$ ; and for 4-manifolds, predictions for VOA[$\textit{M}$ ] following from symmetries of $\textit{T}$[$\textit{M}$ ], as well as the construction of a new invariant of 4-manifolds that depends on two “$\textit{q}$-parameters.” Along the way, we discuss a range of topics that are of independent interest, such as how non-invertible symmetries in higher dimensions can become invertible under compactification, how to classify defects in quantum field theory via their response to a change of framing, and the interplay between $$ {\hat{Z}}_a $$ and volume conjectures.

United States

Sergei Gukov

United Kingdom

Po-Shen Hsin

Denmark

Du Pei

Sunghyuk Park

Generalized global symmetries of $\textit{T}$[$\textit{M}$] theories. Part II

We study Schwinger-Keldysh effective field theories (EFTs) for systems with non-Abelian internal symmetries near thermal equilibrium. We consider two approaches that were put forward in the literature — one using a redundant Goldstone parameterization, the other employing an adjoint matter field — and demonstrate their complete equivalence by providing an explicit dictionary and proving their equivalence at the path integral level. Critically, we extend both formalisms to be compatible with the dynamical Kubo-Martin-Schwinger (DKMS) symmetry to all orders in ℏ$\textit{ω}$/$\textit{T}$, classifying all possible invariant kernels satisfying unitarity constraints. We also establish precise power-counting rules, clarifying the interplay between the semiclassical and hydrodynamic expansions. Our work provides a framework for studying non-Abelian charge transport and fluctuations to arbitrary orders in ℏ$\textit{ω}$/$\textit{T}$.

Switzerland

Eren Firat

Andrew Gomes

Filippo Nardi

Riccardo Penco

Riccardo Rattazzi

Schwinger-Keldysh effective theory of charge transport: redundancies and systematic $\textit{ω}$/$\textit{T}$ expansion

We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop amplitudes, after subtraction of infrared and ultraviolet divergences, are extracted analytically from evaluations over finite fields by using a (potentially) overcomplete basis of special functions defined through their differential equations. We construct the colour- and spin-summed interference with the tree-level amplitudes and present a C++ library suitable for immediate use in phenomenological studies. We present new techniques for the evaluation of the special functions through direct numerical integration of differential equations which perform well across the full physical phase space.

Italy

Simon Badger

Matteo Becchetti

Colomba Brancaccio

Germany

Michał Czakon

South Korea

Heribertus Hartanto

Poland

Rene Poncelet

Simone Zoia

Double virtual QCD corrections to $$ t\overline{t} $$ +jet production at the LHC

We analyze the complex analytic properties of classical i.e. tree-level S-matrices for four scalar particles with $\textit{s}$-$\textit{t}$ crossing symmetry, involving an infinite number of exchanges. Under suitable analytic conditions, we demonstrate that such S-matrices exhibit a spectrum of poles that is equally spaced. We extend this result to S-matrices with accumulating poles, proving that under analogous conditions, their pole spectrum coincides with that of the Coon S-matrix. The boundedness of the S-matrix in the Regge limit is not essential for our results. While studying S-matrices that do not meet the conditions of our theorems, we encounter functions that have novel non-isolated singularities akin to what is called the natural boundary.

India

Abhijit Gadde

Shraiyance Jain

Analysis of $\textit{s}$-$\textit{t}$ symmetric classical S-matrices

<p>We study single-top production in association with a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi></math> boson at the Large Hadron Collider (LHC) as a probe of dimension-6 Standard Model effective field theory (SMEFT) at leading order, next-to-leading order, and approximate next-to-next-to-leading order accuracy in quantum chromodynamics (QCD). The process is sensitive to operators that modify the top-quark weak and chromomagnetic dipole interactions, and we perform three-parameter linear and quadratic SMEFT fits using doubly differential top-quark distributions in transverse momentum and rapidity for the Run II and Run III configurations at the LHC. We provide a detailed account of the uncertainties and quantify the impact of the different uncertainty components across bins and perturbative orders. We find that effective scales up to 2 TeV can be probed in nonmarginalized fits, while in marginalized fits the corresponding scales are around 0.5 and 1.5 TeV for linear and quadratic fits, respectively.</p>

Nikolaos Kidonakis

Kaan Şimşek

Constraining dimension-six SMEFT with higher-order predictions for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi><mi>p</mi><mo stretchy="false">→</mo><mi>t</mi><mi>W</mi></math>

The inclusive top quark pair ( $$t\bar{t}$$ ) cross-section $$\sigma _{t\bar{t}}$$ has been measured in proton–proton collisions at $$\sqrt{s}=13\,\text {TeV}$$ , using $$140\,{\text {fb}^{-1}} $$ of data collected by the ATLAS experiment at the Large Hadron Collider. Using events with an opposite-charge $$e\mu $$ pair and $\textit{b}$-tagged jets, the cross-section is measured to be: where the uncertainties reflect the limited size of the data sample, experimental and theoretical systematic effects, the integrated luminosity, and the proton beam energy, giving a total uncertainty of 1.3%. The result is used to determine the top quark pole mass via the dependence of the predicted cross-section on $${m_{t}^\textrm{pole}}$$ , giving $${m_{t}^\textrm{pole}}=172.8^{+1.5}_{-1.7}$$ $$\text {GeV}$$ . The same event sample is used to measure absolute and normalised differential cross-sections for the $$t\bar{t} \rightarrow e\mu \nu \bar{\nu }b\bar{b} $$ process as a function of single-lepton and dilepton kinematic variables. Complementary measurements of $$e\mu b\bar{b} $$ production, treating both $$t\bar{t}$$ and $\textit{Wt}$ events as signal, are also provided. Both sets of differential cross-sections are compared to the predictions of various Monte Carlo event generators, demonstrating that the state-of-the-art generators and $\textit{bb}$4$\textit{l}$ describe the data better than .

France

G. Aad

Norway

E. Aakvaag

B. Abbott

United Arab Emirates

S. Abdelhameed

K. Abeling

N. Abicht

S. Abidi

M. Aboelela

A. Aboulhorma

Israel

H. Abramowicz

Y. Abulaiti

B. Acharya

A. Ackermann

C. Adam Bourdarios

L. Adamczyk

S. Addepalli

M. Addison

J. Adelman

Türkiye

A. Adiguzel

T. Adye

A. Affolder

Y. Afik

Spain

M. Agaras

A. Aggarwal

Romania

C. Agheorghiesei

F. Ahmadov

S. Ahuja

X. Ai

G. Aielli

A. Aikot

M. Tamlihat

B. Aitbenchikh

Sweden

T. Åkesson

A. Akimov

Japan

D. Akiyama

N. Akolkar

S. Aktas

G. Alberghi

Canada

J. Albert

U. Alberti

P. Albicocco

G. Albouy

S. Alderweireldt

Z. Alegria

M. Aleksa

I. Aleksandrov

C. Alexa

Greece

T. Alexopoulos

F. Alfonsi

M. Algren

M. Alhroob

Czechia

B. Ali

H. Ali

S. Ali

S. Alibocus

South Africa

M. Aliev

G. Alimonti

W. Alkakhi

C. Allaire

B. Allbrooke

D. Allen

J. Allen

P. Allport

A. Aloisio

Argentina

F. Alonso

C. Alpigiani

Z. Alsolami

A. Alvarez Fernandez

M. Alves Cardoso

M. Alviggi

M. Aly

Brazil

Y. Amaral Coutinho

A. Ambler

C. Amelung

M. Amerl

C. Ames

T. Amezza

D. Amidei

B. Amini

K. Amirie

A. Amirkhanov

Portugal

S. Amor Dos Santos

K. Amos

D. Amperiadou

S. An

C. Anastopoulos

T. Andeen

J. Anders

A. Anderson

A. Andreazza

S. Angelidakis

A. Angerami

A. Anisenkov

A. Annovi

C. Antel

E. Antipov

M. Antonelli

F. Anulli

Precise measurement of the $$t\bar{t}$$ production cross-section and lepton differential distributions in $$ e\mu $$ dilepton events from $$\sqrt{s}=13\,\text {TeV}$$ $\textit{pp}$ collisions with the ATLAS detector

We investigate the interplay between T-duality and (2+1)- dimensional electrodynamics, revealing a relationship between short and large length scales of the gauge potential. Our findings demonstrate that the electrostatic potential energy between static charges is no longer divergent at short distances in the presence of T-duality effects. It remains logarithmic at large distances, suggesting the possibility of a regulating role for the T-duality scale <italic>l</italic> <inf>0</inf> in the dual space where the radial coordinate is inverted. We also discuss the potential of T-duality to elucidate fractalization effects in physical systems, paving the way for future research on the implications for superconductors and condensed matter systems in general.

Chile

Patricio Gaete

Piero Nicolini

T-duality effects in electrodynamics: The <math altimg='si2.svg'><mrow><mo>(</mo><mn>2</mn><mo linebreak='goodbreak'>+</mo><mn>1</mn><mo>)</mo></mrow></math>-dimensional case