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Related papers: $A_4$ lepton flavor model and modulus stabilizatio…

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We present a see-saw $A_4$ model for Tri-Bimaximal mixing which is based on a very economical flavour symmetry and field content and still possesses all the good features of $A_4$ models. In particular the charged lepton mass hierarchies…

High Energy Physics - Phenomenology · Physics 2009-08-20 Guido Altarelli , Davide Meloni

Modular flavor symmetry can be used to explain the quark and lepton flavor structures. The SUSY partners of quarks and leptons, which share the same superpotential with the quarks and leptons, will also be constrained by the modular flavor…

High Energy Physics - Phenomenology · Physics 2021-03-01 Xiaokang Du , Fei Wang

We explore an $A_4$-symmetric flavor based left-right symmetric model with linear seesaw mechanism and study the associated neutrino phenomenology. The framework offers the advantage of studying neutrino mass, non-unitarity effects in…

High Energy Physics - Phenomenology · Physics 2020-02-18 Purushottam Sahu , Sudhanwa Patra , Prativa Pritimita

We provide an $A_4$ based flavor symmetric scenario to accommodate the inverse seesaw mechanism for explaining light neutrino masses and mixing. We find that the lepton mixing, in particular the tri-bimaximal mixing pattern and its…

High Energy Physics - Phenomenology · Physics 2017-08-07 Biswajit Karmakar , Arunansu Sil

We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular $A_4$ symmetry with three right-handed neutrinos and a…

High Energy Physics - Phenomenology · Physics 2021-04-01 Takehiko Asaka , Yongtae Heo , Takahiro Yoshida

The problem of normalisation of the modular forms in modular invariant lepton and quark flavour models is discussed. Modular invariant normalisations of the modular forms are proposed.

High Energy Physics - Phenomenology · Physics 2023-11-16 S. T. Petcov

We study quark and lepton masses and mixings in a double covering of modular $A_4$ flavor symmetry in which we search for common solution of a single modulus $\tau$, applying chi-square numerical analysis under the as minimum framework as…

High Energy Physics - Phenomenology · Physics 2022-12-15 Petr Beneš , Hiroshi Okada , Yuta Orikasa

Eclectic flavor groups arising from string compactifications combine the power of modular and traditional flavor symmetries to address the flavor puzzle. This top-down scheme determines the representations and modular weights of all matter…

High Energy Physics - Phenomenology · Physics 2022-10-03 Alexander Baur , Hans Peter Nilles , Saul Ramos-Sanchez , Andreas Trautner , Patrick K. S. Vaudrevange

The flavor structure of quarks and leptons and quark-lepton unification are studied in the framework of Pati-Salam models with $A_4$ modular symmetry. The three generations of the left-handed and right-handed fermions are assigned to be…

High Energy Physics - Phenomenology · Physics 2024-04-11 Gui-Jun Ding , Si-Yi Jiang , Stephen F. King , Jun-Nan Lu , Bu-Yao Qu

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 present a model with $A_4 \times U(1)_{PQ}$ lepton flavor symmetry which explains the origin of the lepton flavor structure and also solves the strong $CP$ problem. Standard model gauge singlet fields, so-called "flavons", charged under…

High Energy Physics - Phenomenology · Physics 2016-11-02 Takaaki Nomura , Yusuke Shimizu , Toshifumi Yamada

We present a supersymmetric model of quark and lepton based on $S_4\times Z_3\times Z_4$ flavor symmetry. The $S_4$ symmetry is broken down to Klein four and $Z_3$ subgroups in the neutrino and the charged lepton sectors respectively.…

High Energy Physics - Phenomenology · Physics 2009-12-04 Gui-Jun Ding

We propose a model with $A_4$ flavor symmetry for leptons and quarks in the framework of supersymmetric SU(5) grand unified theory (GUT). The running masses of quarks and charged leptons at GUT scale ($\sim 10^{16}$ GeV) are realized by the…

High Energy Physics - Phenomenology · Physics 2019-07-23 Yu Muramatsu , Hideaki Okane , Yusuke Shimizu , Kenta Takagi

In this work, we have implemented $A_4$ modular symmetry in the left-right symmetric linear seesaw model. Interestingly, such modular symmetry restricts the proliferation of flavon fields, and as a result, the predictibility of the model is…

High Energy Physics - Phenomenology · Physics 2024-09-19 Raktima Kalita , Mahadev Patgiri

The present work is inspired by the application of $A_4$ modular symmetry in the linear seesaw framework, which restricts the use of multiple flavon fields. Linear seesaw is realized with six heavy $SU(2)_L$ singlet fermion superfields and…

High Energy Physics - Phenomenology · Physics 2022-04-26 Mitesh Kumar Behera , Subhasmita Mishra , Shivaramakrishna Singirala , Rukmani Mohanta

We propose a non-holomorphic modular $A_4$ model under the assumption of universal couplings. In this framework, a charged lepton mass hierarchy is not created through parameter fine tuning or hierarchical Yukawa couplings, but instead is…

High Energy Physics - Phenomenology · Physics 2026-04-20 Mohammed Abbas

We study an extension of the standard model based on the flavor symmetry A4 only. Neutrino Majorana mass terms arise from dimension five operator and charged lepton masses from renormalizable Yukawa couplings. We introduce three Higgs…

High Energy Physics - Phenomenology · Physics 2010-01-07 S. Morisi , E. Peinado

We present a new model of the lepton sector that uses a family symmetry A4 to make predictions for lepton mixing which are invariant under any permutation of the three flavours. We show that those predictions broadly agree with the…

High Energy Physics - Phenomenology · Physics 2015-06-16 P. M. Ferreira , L. Lavoura , P. O. Ludl

We study the modular symmetric standard-model effective field theory. We employ the stringy Ansatz on coupling structure that 4-point couplings $y^{(4)}$ of matter fields are written by a product of 3-point couplings $y^{(3)}$ of matter…

High Energy Physics - Phenomenology · Physics 2022-04-06 Tatsuo Kobayashi , Hajime Otsuka , Morimitsu Tanimoto , Kei Yamamoto

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