We revisit a supersymmetric flavor model, based on the symmetries of <inline-formula><tex-math id='TM0001' notation='LaTeX'>$SU(2)_L \times A_4 \times Z_3 \times U(1)_R$</tex-math></inline-formula>, which extends the original Altarelli and Feruglio construction by introducing flavon and driving superfields responsible for the spontaneous breaking of the flavor symmetry in order to obtain a nonzero reactor angle. Vacuum alignments of the flavon fields are achieved through the minimization of the scalar potential derived from the superpotential. This setup leads to specific mass matrices for the charged leptons and neutrinos that are consistent with current experimental data, including the measured values of the lepton mixing angles and neutrino mass squared differences. We investigate whether the model can simultaneously accommodate successful thermal leptogenesis. In particular, we analyze the CP asymmetry generated by the decay of heavy Majorana neutrinos, the resulting lepton asymmetry, and its conversion to the baryon asymmetry through the electroweak sphalerons. We find, however, that the CP asymmetry is zero in the leading order of the model since the Dirac neutrino mass matrix has simple texture. Then we consider the next-to-leading order in Yukawa interactions of the Dirac neutrinos. As a result, we can realize the baryon asymmetry of the universe at the present universe. By numerically scanning the parameter space, we identify the regions consistent with both neutrino oscillation data and the observed baryon asymmetry. In the specific case such that one of the couplings for the right-handed Majorana neutrinos is a real parameter, the predicted lightest neutrino mass is at least 5 meV and 15 meV for the normal and inverted neutrino mass hierarchies, respectively. In addition, the range of the Majorana phases may be tested in future experiments.

China

Takaaki Nomura

Japan

Yusuke Shimizu

Towa Takahashi

Revisiting the Flavor Model and Leptogenesis

In this paper, we explore the use of advanced machine learning (ML) techniques to enhance the sensitivity of double Higgs boson searches in the <inline-formula><tex-math id='TM0002' notation='LaTeX'>$ HH \rightarrow b\bar{b}\gamma \gamma$</tex-math></inline-formula> decay channel at <inline-formula><tex-math id='TM0003' notation='LaTeX'>$\sqrt{s} =$</tex-math></inline-formula> 13.6 TeV. Two ML models are implemented and compared: a tree-based classifier using XGBoost, and a geometry-based graph neural network classifier (GNN). We show that the geometrical model outperforms the traditional XGBoost classifier, improving the expected 95% CL upper limit on the double Higgs boson production cross section&#160;by 28%. Our results are compared to the latest ATLAS experiment results, showing significant improvement of both the upper limit and Higgs boson self-coupling ( <inline-formula><tex-math id='TM0004' notation='LaTeX'>$\kappa _{\lambda }$</tex-math></inline-formula>) constraints.

not found

Mohamed Belfkir

Mohamed Amin Loualidi

Salah Nasri

Boosting Sensitivity to <italic>HH</italic> &#8594; <italic>bb&#772;&#947;&#947;</italic> with Graph Neural Networks and XGBoost

Four- and six-dimensional Drinfeld doubles were classified in the past in terms of Manin triples. We provide an important step toward the classification of eight-dimensional Drinfeld doubles by presenting an extensive list of Manin triples formed by pairs of four–dimensional Lie algebras. Due to the high complexity of the classification we focus on Manin triples formed by algebras in a certain standard form. The list contains 188 nonisomorphic Manin triples plus their duals.

Czechia

Ladislav Hlavatý

Petr Novotný

Ivo Petr

Classification of Standard Manin Triples in Dimension 4+4

We study time-reversal symmetry in <inline-formula><tex-math id='TM0001' notation='LaTeX'>$(2+1)$</tex-math></inline-formula>D abelian bosonic topological phases. Time-reversal anomalies in such systems are classified by <inline-formula><tex-math id='TM0002' notation='LaTeX'>$\mathbb {Z}_2 \times \mathbb {Z}_2$</tex-math></inline-formula> symmetry-protected topological (SPT) phases in <inline-formula><tex-math id='TM0003' notation='LaTeX'>$(3+1)$</tex-math></inline-formula>D, and can be diagnosed via partition functions on manifolds such as <inline-formula><tex-math id='TM0004' notation='LaTeX'>$\mathbb {RP}^4$</tex-math></inline-formula> and <inline-formula><tex-math id='TM0005' notation='LaTeX'>$\mathbb {CP}^2$</tex-math></inline-formula>. These partition functions are related by the anomaly formula <inline-formula><tex-math id='TM0006' notation='LaTeX'>$Z(\mathbb {RP}^4)\, Z(\mathbb {CP}^2) = \theta _{\mathcal {M}}$</tex-math></inline-formula>, where <inline-formula><tex-math id='TM0007' notation='LaTeX'>$\theta _\mathcal {M}$</tex-math></inline-formula> is the Dehn twist phase associated with the crosscap state. Meanwhile, the existence of gapped boundaries is constrained by so-called <italic>higher central charges <inline-formula><tex-math id='TM0008' notation='LaTeX'>$\xi _n$</tex-math></inline-formula></italic>, which serve as computable invariants encoding obstruction data. Motivated by the known relation <inline-formula><tex-math id='TM0009' notation='LaTeX'>$Z(\mathbb {CP}^2) = \xi _1$</tex-math></inline-formula>, we propose a generalization of the anomaly formula that involves both the higher central charges <inline-formula><tex-math id='TM0010' notation='LaTeX'>$\xi _n$</tex-math></inline-formula> and a new time-reversal invariant <inline-formula><tex-math id='TM0011' notation='LaTeX'>$\eta _n$</tex-math></inline-formula>. Introducing a distinguished subset <inline-formula><tex-math id='TM0012' notation='LaTeX'>$\mathcal {M}^n \subset \mathcal {A}$</tex-math></inline-formula> of anyons, we establish the relation <inline-formula><tex-math id='TM0013' notation='LaTeX'>$\eta _n \cdot \xi _n = \frac{\sum _{a \in \mathcal {M}^n} \theta (a)^n}{\left| \sum _{a \in \mathcal {M}^n} \theta (a)^n \right|},$</tex-math></inline-formula>which generalizes the known anomaly formula. We analyze the algebraic structure of <inline-formula><tex-math id='TM0014' notation='LaTeX'>$\mathcal {M}^n$</tex-math></inline-formula>, derive consistency relations it satisfies, and clarify its connection to the original anomaly formula.

Ippo Orii

Generalization of Anomaly Formula for Time-Reversal Symmetry in (2+1)D Abelian Bosonic Topological Quantum Field Theories

The gradient flow exact renormalization group (GFERG) is a variant of the exact renormalization group of gauge theory that aims to preserve gauge symmetry as manifestly as possible. From an integral representation of the Wilson action in GFERG for the Yang–Mills theory, we explicitly compute the one-loop renormalization group functions that reproduce the correct coefficients. From the correspondence with the gradient flow formalism by Lüscher and Weisz (J. High Energy Phys. <bold>1102</bold>, 051 (2011)), we also argue that GFERG reproduces the conventional renormalization group functions in all orders of perturbation theory.

Sorato Nagao

Hiroshi Suzuki

Yang–Mills <italic>&#946;</italic> Function in the Gradient Flow Exact Renormalization Group

The muon’s magnetic moment is a fundamental quantity in particle physics and the observed deviation of its value from the prediction of quantum electrodynamics motivated investigations beyond the Standard Model (SM). In this study, we utilize the effective coupling of right-handed sterile neutrinos with SM gauge bosons to calculate the muon anomalous magnetic moment ( <inline-formula><tex-math id='TM0001' notation='LaTeX'>$\boldsymbol{\mu }$</tex-math></inline-formula>AMM) at one-loop level. The contribution of the sterile neutrino interactions on the <inline-formula><tex-math id='TM0002' notation='LaTeX'>$\boldsymbol{\mu }$</tex-math></inline-formula>AMM is evaluated by including both standard and nonstandard neutrino interactions. Our analysis shows that the standard sterile neutrino interactions give a negligible contribution to <inline-formula><tex-math id='TM0003' notation='LaTeX'>$\Delta a_{\boldsymbol{\mu }}$</tex-math></inline-formula> while the nonstandard neutrino interactions can play a significant role in explaining the <inline-formula><tex-math id='TM0004' notation='LaTeX'>$(g-2)_{\boldsymbol{\mu }}$</tex-math></inline-formula> anomaly. In the context of the nonstandard neutrino interaction, our calculation shows that a Dirac mass scale <inline-formula><tex-math id='TM0005' notation='LaTeX'>$M_\mathrm D\approx 100\, \text{GeV}$</tex-math></inline-formula> could explain the muon anomaly if the right-handed sterile neutrino&#8217;s coupling with SM particles is about <inline-formula><tex-math id='TM0006' notation='LaTeX'>$\mathcal {G}_R\approx 10^{-3}$</tex-math></inline-formula>. Furthermore, we use the observed discrepancy in the muon anomalous magnetic moment to impose constraints on the model parameters. We present the allowed parameter space, consistent with the experimental data on <inline-formula><tex-math id='TM0007' notation='LaTeX'>$\Delta a_{{\boldsymbol{\mu }}}^{\mathrm{ SN}}$</tex-math></inline-formula>, and discuss the percentage of the <inline-formula><tex-math id='TM0008' notation='LaTeX'>${\boldsymbol{\mu }}$</tex-math></inline-formula> anomaly compensation in terms of the coupling constant <inline-formula><tex-math id='TM0009' notation='LaTeX'>$\mathcal {G}_R$</tex-math></inline-formula>.

France

Iman Motie

Iran

Mahdi Sadegh

S Mahmoudi

Jafar Khodagholizadeh

Alain Blanchard

Italy

She-Sheng Xue

Muon Anomalous Magnetic Moment and Right-Handed Sterile Neutrino

The minimal training set to train a working convolutional neural network (CNN) is explored in detail. The model under consideration is the frustrated <inline-formula><tex-math id='TM0001' notation='LaTeX'>$J_1$</tex-math></inline-formula>- <inline-formula><tex-math id='TM0002' notation='LaTeX'>$J_2$</tex-math></inline-formula> Ising model on the square lattice. Here <inline-formula><tex-math id='TM0003' notation='LaTeX'>$J_1 &lt; 0$</tex-math></inline-formula> and <inline-formula><tex-math id='TM0004' notation='LaTeX'>$J_2 &gt; 0$</tex-math></inline-formula> are the nearest and next-to-nearest neighboring couplings, respectively. We train the CNN using the configurations of <inline-formula><tex-math id='TM0005' notation='LaTeX'>$g \stackrel{\text{def}}{=} J_2/|J_1| = 0.7$</tex-math></inline-formula> and employ the resulting CNN to study the phase transition of <inline-formula><tex-math id='TM0006' notation='LaTeX'>$g = 0.8$</tex-math></inline-formula>. We find that this transfer learning is successful. In particular, only configurations of two temperatures, one below and one above the critical temperature <inline-formula><tex-math id='TM0007' notation='LaTeX'>$T_c$</tex-math></inline-formula> of <inline-formula><tex-math id='TM0008' notation='LaTeX'>$g=0.7$</tex-math></inline-formula>, are needed to accurately determine the <inline-formula><tex-math id='TM0009' notation='LaTeX'>$T_c$</tex-math></inline-formula> of <inline-formula><tex-math id='TM0010' notation='LaTeX'>$g=0.8$</tex-math></inline-formula>. However, it may be subtle to use this strategy for the training. Specifically, for the model under consideration, due to the inefficiency of the single spin-flip algorithm used in sampling the configurations in the low-temperature region, the two temperatures associated with the training set should not be too far away from the <inline-formula><tex-math id='TM0011' notation='LaTeX'>$T_c$</tex-math></inline-formula> of <inline-formula><tex-math id='TM0012' notation='LaTeX'>$g=0.7$</tex-math></inline-formula>. Otherwise, the performance of the obtained CNN is not of high quality, and hence cannot determine the <inline-formula><tex-math id='TM0013' notation='LaTeX'>$T_c$</tex-math></inline-formula> of <inline-formula><tex-math id='TM0014' notation='LaTeX'>$g=0.8$</tex-math></inline-formula> accurately. For the model under consideration, we also uncover the condition for training a successful CNN when only configurations of two temperatures are considered as the training set.

Taiwan

Shang-Wei Li

Yuan-Heng Tseng

Ming-Che Hsieh

Fu-Jiun Jiang

Minimal Training Set for Training a Successful CNN: A Case Study of the Frustrated <italic>J</italic> <sub>1</sub>- <italic>J</italic> <sub>2</sub> Ising Model on the Square Lattice

Determining the solvability of a given quantum mechanical system is generally challenging. We discuss that the numerical bootstrap method can help us to solve this question in 1D quantum mechanics. We show that the bootstrap method can derive exact energy eigenvalues in systems with shape invariance, which is a sufficient condition for solvability and which many solvable systems satisfy. The information of the annihilation operators is also obtained naturally, and thus the bootstrap method tells us why the system is solvable. We numerically demonstrate this explicitly for shape-invariant potentials: harmonic oscillators, Morse potentials, Rosen–Morse potentials, and hyperbolic Scarf potentials. Therefore, the numerical bootstrap method can determine the solvability of a given unknown system if it satisfies shape invariance.

Yu Aikawa

Takeshi Morita

Bootstrapping Shape Invariance: Numerical Bootstrap as a Detector of Solvable Systems

The stochastic dynamics of a scalar field in de Sitter space-time can be regarded as a nonperturbative diffusion process, for which exact distribution and correlation functions are constructed by utilizing the correspondence between diffusion and Schrödinger equations. The Krein–Adler transformation of the quantum harmonic oscillator deletes several pairs of the energy levels to define anharmonic oscillators that we dub quantum deficient oscillators, based on which this article constructs a new class of exact solutions in stochastic inflation. In addition to the simplest single-well model, an exactly solvable double-well model is also presented. The results are further extended to exactly solvable models with multiple wells, allowing analytical studies on various cosmological phenomenologies.

Yuta Nasuda

Koki Tokeshi

Yuki Watanabe

Scalar Field Stochastic Dynamics in de Sitter Space-time from Exact Solutions of Quantum Deficient Oscillators

Exploring the mass modifications of <inline-formula><tex-math id='TM0002' notation='LaTeX'>$\phi$</tex-math></inline-formula> mesons in nuclei provides insights into the nature of strongly interacting matter. Specifically, <inline-formula><tex-math id='TM0003' notation='LaTeX'>$\phi$</tex-math></inline-formula> meson mass shifts can be related to the in-medium modification of the strange quark condensate. Therefore, the partial restoration of chiral symmetry can be studied by observing the mass shifts through the decay channels <inline-formula><tex-math id='TM0004' notation='LaTeX'>$\phi \rightarrow e^+e^-$</tex-math></inline-formula> and <inline-formula><tex-math id='TM0005' notation='LaTeX'>$\phi \rightarrow K^+K^-$</tex-math></inline-formula>. In this paper, we examine the possibility of observing the <inline-formula><tex-math id='TM0006' notation='LaTeX'>$\phi$</tex-math></inline-formula> meson mass modifications of the <inline-formula><tex-math id='TM0007' notation='LaTeX'>$\phi$</tex-math></inline-formula> mesons in 30 GeV proton&#8211;nucleus (C, Cu, Pb) collisions, to be studied at the J-PARC E88 experiment, through the kaonic decay channel, with the off-shell Budapest Boltzmann&#8211;Uehling&#8211;Uhlenbeck transport model. By applying different mean fields to the kaons, we examine their effects on the invariant mass spectra. Our simulations suggest that, although different mean fields for the kaons do affect the spectrum, there is a common observable effect primarily driven by the <inline-formula><tex-math id='TM0008' notation='LaTeX'>$\phi$</tex-math></inline-formula> mass shift. However, due to the threshold associated with the two kaons, the signal that we observe is quite different from the one expected in dilepton spectra. Therefore, to meaningfully constrain the mass shift, it will be useful to include both kaon and dilepton channels in the analysis of the experimental data.

South Korea

Gábor Balassa

Kazuya Aoki

Philipp Gubler

Su Houng Lee

Hiroyuki Sako

Hungary

György Wolf

Studying the In-Medium φ Meson Spectrum Through Kaons in Proton–Nucleus Reactions