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Related papers: Minimal lepton models with non-holomorphic modular…

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We study the non-Hermitian extension of the Lagrangian of the Standard Model extended by singlet right-handed heavy neutrinos. The Yukawa coupling matrices comprise of hermitian and non-hermitian components and the neutrino mass eigenvalues…

High Energy Physics - Phenomenology · Physics 2023-02-07 Sasmita Mishra

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

We study a Zee model applying a modular $A_4$ symmetry in supersymmetry framework, where we construct our lepton model as minimum modular weight as possible. We show our predictions on phases and neutrino masses through numerical analysis.…

High Energy Physics - Phenomenology · Physics 2025-02-04 Takaaki Nomura , Hiroshi Okada , Yong-hui Qi

Some properties of lepton mixing and neutrino masses can be computed under the assumption of A5 and CP as a symmetry in the leptonic sector. The results show that four mixing patterns accommodate well the oscillation data, i.e. all the…

High Energy Physics - Phenomenology · Physics 2016-04-29 Andrea Di Iura

We perform a systematic search for simple but viable lepton mixing patterns. Our main criterion is that the mixing matrix can be parameterized by three rotation angles, which are simple fractions of pi. These simple rotation angles possess…

High Energy Physics - Phenomenology · Physics 2015-05-28 Werner Rodejohann , He Zhang , Shun Zhou

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 analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\left[SU(3)\right]^5\otimes \mathcal O(3)$ flavor…

High Energy Physics - Phenomenology · Physics 2015-06-16 R. Alonso , M. B. Gavela , G. Isidori , L. Maiani

We analyze a modular invariant model of lepton masses, with neutrino masses originating either from the Weinberg operator or from the seesaw. The constraint provided by modular invariance is so strong that neutrino mass ratios, lepton…

High Energy Physics - Phenomenology · Physics 2018-11-07 Juan Carlos Criado , Ferruccio Feruglio

In the modular symmetry approach to neutrino models, the flavour symmetry emerges as a finite subgroup $\Gamma_N$ of the modular symmetry, broken by the vacuum expectation value (VEV) of a modulus field $\tau$. If the VEV of the modulus…

High Energy Physics - Phenomenology · Physics 2026-01-13 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu , Jun-Nan Lu

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

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Peinado

We present a simple modification of the Altarelli-Feruglio $A_4$ flavor symmetry model using a minimal number of parameters congruous with the symmetries of the original theory. The resulting model is consistent with all presently known…

High Energy Physics - Phenomenology · Physics 2020-08-05 Minjie Lei , James D. Wells

We consider lepton mixing in an extension of the Standard Model with three right-handed neutrino singlets. We require that the three lepton numbers L_e, L_\mu, and L_\tau be separately conserved in the Yukawa couplings, and we assume that…

High Energy Physics - Phenomenology · Physics 2010-02-03 W. Grimus , L. Lavoura

The mass matrices of the charged leptons and neutrinos, previously derived in a minimal S_3-invariant extension of the Standard Model, were reparametrized in terms of their eigenvalues. We obtained explicit, analytical expressions for all…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Mondragon , M. Mondragon , E. Peinado

Residual symmetry $G_\nu$ of neutrino mass matrix with a massless neutrino and embedding of $G_\nu$ and the residual symmetry $G_l$ of the charged lepton mass matrix into finite discrete groups $G$ is discussed. Massless neutrino results if…

High Energy Physics - Phenomenology · Physics 2014-01-22 Anjan S. Joshipura , Ketan M. Patel

We study a three-loop induced neutrino mass scenario from a non-holomorphic modular $A_4$ flavor symmetry and reach the minimum scenario leading predictions of the lepton masses, mixing angles, and Dirac and Majorana phases, which are shown…

High Energy Physics - Phenomenology · Physics 2025-12-04 Takaaki Nomura , Hiroshi Okada

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

In this paper we have studied neutrino masses and mixings by adding a scalar triplet $\eta$ to the particle content of minimal inverse seesaw. We have realised this extension of minimal inverse seesaw by implementing an isomorphic modular…

High Energy Physics - Phenomenology · Physics 2023-11-17 Jotin Gogoi , Lavina Sarma , Mrinal Kumar Das

We study a Zee model in a non-holomorphic modular $A_4$ flavor symmetry in which we find good predictions in both the cases of normal and inverted hierarchy. Parameter reduction on neutrino sector occurs due to large mass hierarchies…

High Energy Physics - Phenomenology · Physics 2025-06-03 Takaaki Nomura , Hiroshi Okada

We present an S$_4$ flavour symmetric model within a minimal seesaw framework resulting in mass matrices that leads to TM$_1$ mixing. Minimal seesaw is realized by adding two right-handed neutrinos to the Standard Model. The model predicts…

High Energy Physics - Phenomenology · Physics 2021-12-22 Bikash Thapa , Ng. K. Francis

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