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Related papers: Modular symmetry in the SMEFT

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We implement modular flavor symmetries within the Standard Model Effective Field Theory (SMEFT) framework, using the flavor group $A_4^{(q)} \times A_4^{(e)}$ with distinct moduli $\tau_q$ and $\tau_e$, and assigning different modular…

High Energy Physics - Phenomenology · Physics 2026-02-02 Luo-Jia Kang , Hao Sun , Jiang-Hao Yu

We study the flavor structure of the lepton and baryon number--conserving dimension-6 operators in the Standard Model effective field theory (SMEFT). Building on the work of [1], we define several well-motivated flavor symmetries and…

High Energy Physics - Phenomenology · Physics 2023-05-26 Admir Greljo , Ajdin Palavrić , Anders Eller Thomsen

We study a flavor model that the quark sector has the $S_3$ modular symmetry,while the lepton sector has the $A_4$ modular symmetry. Our model leads to characteristic quark mass matrices which are consistent with experimental data of quark…

High Energy Physics - Phenomenology · Physics 2019-06-20 Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi , Hikaru Uchida

We review the modular flavor symmetric models of quarks and leptons focusing on our works. We present some flavor models of quarks and leptons by using finite modular groups and discuss the phenomenological implications. The modular flavor…

High Energy Physics - Phenomenology · Physics 2023-07-19 Tatsuo Kobayashi , Morimitsu Tanimoto

The persistent anomalies observed in $b \to s\,(\ell^+\ell^-,\,\nu\bar{\nu})$ transitions continue to provide strong motivation for exploring possible extensions of the Standard Model (SM). Motivated by these discrepancies, we present a…

High Energy Physics - Phenomenology · Physics 2026-05-25 Nilakshi Das , Rusa Mandal , Praveen S Patil

In the formalism of the non-supersymmetric modular invariance approach to the flavour problem the elements of the Yukawa coupling and fermion mass matrices are expressed in terms of polyharmonic Maa{\ss} modular forms of level $N$ in…

High Energy Physics - Phenomenology · Physics 2024-08-29 Gui-Jun Ding , Jun-Nan Lu , S. T. Petcov , Bu-Yao Qu

In the modular invariant flavor model of $\rm A_4$, we study the hierarchical structure of lepton/quark flavors at nearby fixed points of $\tau=i$ and $\tau=\omega$ of the modulus, which are in the fundamental domain of $\rm…

High Energy Physics - Phenomenology · Physics 2021-01-13 Hiroshi Okada , Morimitsu Tanimoto

The CP properties of effective operators are closely related to the spacetime and internal symmetries, such as the flavor symmetry, in the standard model effective field theory (SMEFT). In this work, we utilize the flavor symmetry to…

High Energy Physics - Phenomenology · Physics 2025-02-07 Hao Sun , Jiang-Hao Yu

We compile information from low-energy observables sensitive to flavor-conserving 4-fermion operators with two or four leptons. Our analysis includes data from e+e- colliders, neutrino scattering on electron or nucleon targets, atomic…

High Energy Physics - Phenomenology · Physics 2017-09-13 Adam Falkowski , Martín González-Alonso , Kin Mimouni

We study quark and lepton flavor structures on magnetized $T^2/\mathbb{Z}_2$ twisted orbifold model. There are 6,460 number of flavor models but most of them cannot lead to realistic flavor observables because of the difficulties on…

High Energy Physics - Phenomenology · Physics 2024-03-27 Shota Kikuchi

We present a global analysis of lepton-flavor-specific operators in the Standard Model Effective Field Theory (SMEFT), combining data from collider and flavor physics experiments. We systematically explore various lepton-flavor scenarios,…

High Energy Physics - Phenomenology · Physics 2025-11-11 Cornelius Grunwald , Gudrun Hiller , Kevin Kröninger , Lara Nollen

Modular symmetry offers the possibility to provide an origin of discrete flavour symmetry and to break it along particular symmetry preserving directions without introducing flavons or driving fields. It is also possible to use a weighton…

High Energy Physics - Phenomenology · Physics 2021-10-04 Gui-Jun Ding , Stephen F. King , Chang-Yuan Yao

We study a flavor model with $A_4$ symmetry which originates from $S_4$ modular group. In $S_4$ symmetry, $Z_2$ subgroup can be anomalous, and then $S_4$ can be violated to $A_4$. Starting with a $S_4$ symmetric Lagrangian at the tree…

High Energy Physics - Phenomenology · Physics 2020-03-18 Tatsuo Kobayashi , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi

The Standard Model Effective Field Theory (SMEFT) is a universal way of parametrizing New Physics (NP) manifesting as new, heavy particle interactions with the Standard Model (SM) degrees of freedom, that respect the SM gauged symmetries.…

High Energy Physics - Phenomenology · Physics 2024-03-14 Luiz Vale Silva

We constrain the flavor structure of Wilson coefficients in the Standard Model Effective Field Theory (SMEFT) from data. In the SMEFT, new physics effects in couplings of up-type and down-type quarks are related through the…

High Energy Physics - Phenomenology · Physics 2023-03-22 Sebastian Bruggisser , Danny van Dyk , Susanne Westhoff

An extension of the Standard Model with $\Gamma_2\simeq S_3$ modular flavor symmetry is presented. We consider the construction of the lepton sector, augmented by two right-handed neutrino states, in the vicinity of the fixed points $\tau =…

High Energy Physics - Phenomenology · Physics 2026-05-21 Zurab Tavartkiladze

We analyse how $U(3)^5$ and $U(2)^5$ flavour symmetries act on the Standard Model Effective Field Theory, providing an organising principle to classify the large number of dimension-six operators involving fermion fields. A detailed…

High Energy Physics - Phenomenology · Physics 2025-04-23 Darius A. Faroughy , Gino Isidori , Felix Wilsch , Kei Yamamoto

We study the phenomenological implications of the modular symmetry $\Gamma(3) \simeq A_4$ of lepton flavors facing recent experimental data of neutrino oscillations. The mass matrices of neutrinos and charged leptons are essentially given…

High Energy Physics - Phenomenology · Physics 2018-12-26 Tatsuo Kobayashi , Naoya Omoto , Yusuke Shimizu , Kenta Takagi , Morimitsu Tanimoto , Takuya H. Tatsuishi

We propose to generate the flavor structures of the Standard Model plus neutrinos from flipped SU(5) GUT with $A_4$ modular flavor symmetry. Possible way to assign different moduli values for quarks and leptons in modular GUT scheme is…

High Energy Physics - Phenomenology · Physics 2023-01-18 Xiao Kang Du , Fei Wang

In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group $\Gamma_5 \simeq A_5$. We explicitly construct a basis…

High Energy Physics - Phenomenology · Physics 2019-05-02 P. P. Novichkov , J. T. Penedo , S. T. Petcov , A. V. Titov
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