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Related papers: Non-holomorphic Modular $S_4$ Lepton Flavour Model…

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We introduce a lepton mass generation and flavor mixing model, realized through a (2,3) inverse seesaw structure based on modular \( S_4 \) symmetry. The model employs modular forms to construct the lepton Yukawa couplings, significantly…

High Energy Physics - Phenomenology · Physics 2025-09-23 Abhishek , V. Suryanarayana Mummidi

The lepton sector is studied within a flavored non-renormalizable model where the $\mathbf{S}_{3}\otimes \mathbf{Z}_{2}$ flavor symmetry drives the Yukawa couplings. In this framework, the effective neutrino mass, that comes from the type…

High Energy Physics - Phenomenology · Physics 2022-06-17 J. D. García-Aguilar , Juan Carlos Gómez-Izquierdo

We consider for the first time level 7 modular invariant flavour models where the lepton mixing originates from the breaking of modular symmetry and couplings responsible for lepton masses are modular forms. The latter are decomposed into…

High Energy Physics - Phenomenology · Physics 2020-04-28 Gui-Jun Ding , Stephen F. King , Cai-Chang Li , Ye-Ling Zhou

This paper investigates an inverse seesaw model of neutrino masses based on non-holomorphic modular $A_4$ symmetry, extending the framework of modular-invariant flavor models beyond the conventional holomorphic paradigm. After the general…

High Energy Physics - Phenomenology · Physics 2025-10-30 Xianshuo Zhang , Yakefu Reyimuaji

We study one-loop induced radiative seesaw model applying a modular $A_4$ flavor symmetry, in which the neutrino mass matrix is achieved by two different Yukawa couplings one of which also contributes to positive value of muon anomalous…

High Energy Physics - Phenomenology · Physics 2019-08-01 Hiroshi Okada , Yuta Orikasa

We prsent a lepton flavor model with $S_4$ and $U(1)_{\mathrm{FN}}$ symmetry. The left-handed leptons are assigned as a triplet under the $S_4$ symmetry, the right-handed electron and muon as $S_4$ doublets, and the right-handed tauon as an…

High Energy Physics - Phenomenology · Physics 2023-12-29 Yukimura Izawa

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 consider a flavor model based on A4 modular group to account for both lepton and quark parameters (masses and mixing). The inverse seesaw mechanism is considered to produce the light neutrino masses. Lepton masses and mixing are obtained…

High Energy Physics - Phenomenology · Physics 2021-03-31 Mohamed Abbas

We propose a unique lepton mixing scheme and its association with an exact hierarchy-philic neutrino mass matrix texture in the light of Type-I+Type-II seesaw mechanism under the framework of $A_4 \times Z_{10}$ discrete flavour symmetry.…

High Energy Physics - Phenomenology · Physics 2024-07-24 Manash Dey , Subhankar Roy

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 modular $A_4$ symmetry with three moduli is investigated. We assign different moduli to charged leptons, neutrinos, and quarks. We analyze these moduli at their fixed points where a residual symmetry exists. We consider two…

High Energy Physics - Phenomenology · Physics 2024-12-30 Mohammed Abbas , Shaaban Khalil

We present a model of the lepton masses and flavor mixing based on the discrete group $S_4 \times Z_2$. In this model, all the charged leptons and neutrinos are assigned to the $3_\alpha$ representation of $S_4$ in the Yamanouchi bases. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 He Zhang

Addressing the fermion flavor structures using modular invariance is a challenging task in the framework of quark-lepton unification. Building on recent applications of modular symmetry in non-supersymmetric models, we propose the first…

High Energy Physics - Phenomenology · Physics 2025-08-05 Mohamed Amin Loualidi , Mohamed Miskaoui , Salah Nasri

We perform a comprehensive analysis of the homogeneous finite modular group $\Gamma'_4\equiv S'_4$ which is the double covering of $S_4$ group. The weight 1 modular forms of level 4 are constructed in terms of Dedekind eta function, and…

High Energy Physics - Phenomenology · Physics 2021-03-31 Xiang-Gan Liu , Chang-Yuan Yao , Gui-Jun Ding

We construct an $S_4$ flavour symmetric minimal inverse seesaw model where the standard model is extended by adding two right-handed and two standard model gauge singlets neutrinos to explain the origin of tiny neutrino masses. The…

High Energy Physics - Phenomenology · Physics 2023-12-08 Bikash Thapa , Sunita Barman , Sompriti Bora , Ng. K. Francis

In this study, we explore the application of the $\Gamma_{3}$ modular group, which is isomorphic to the $A_{4}$ symmetric group in developing a model for neutrino mass. We realized a non-supersymmetric left-right asymmetric model…

High Energy Physics - Phenomenology · Physics 2025-07-23 Bhabana Kumar , Mrinal Kumar Das

In this paper, we incorporate the modular $S^{}_4$ flavor symmetry into the supersymmetric version of the minimal type-I seesaw model, in which only two right-handed neutrino singlets are introduced to account for tiny Majorana neutrino…

High Energy Physics - Phenomenology · Physics 2020-10-21 Xin Wang , Shun Zhou

Modular invariance has recently paved new promising directions in flavor model building. Motivated by this development, we present in this work the first implementation of the $S_3$ modular symmetry within the Pati-Salam unification…

High Energy Physics - Phenomenology · Physics 2025-06-18 Mohamed Belfkir , Mohamed Amin Loualidi , Salah Nasri

We have performed a systematical analysis of lepton and quark masses models based on $\Gamma_4\cong S_4$ modular symmetry with gCP symmetry. We have considered both cases that neutrinos are Majorana particles and Dirac particles. All…

High Energy Physics - Phenomenology · Physics 2021-10-13 Bu-Yao Qu , Xiang-Gan Liu , Ping-Tao Chen , Gui-Jun Ding

We study charged lepton flavour violation in a scenario in which light neutrino masses are generated via the inverse seesaw mechanism with 3+3 gauge singlet fermions, Ni and Sj, i,j=1,2,3. Lepton mixing is predicted with the help of the…

High Energy Physics - Phenomenology · Physics 2025-07-18 F. P. Di Meglio , C. Hagedorn