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Related papers: Modular $A_4$ Symmetry With Three-Moduli and Flavo…

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The four light neutrino scenario, which explains the atmosphere, solar and LSND neutrino experiments, is studied in the framework of the seesaw mechanism. By taking both the Dirac and Majorana mass matrix of neutrinos to be singular, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Chun Liu , Jeonghyeon Song

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

It has been suggested that residual symmetries in the charged-lepton and neutrino mass matrices can possibly reveal the flavour symmetry group of the lepton sector. We review the basic ideas of this purely group-theoretical approach and…

High Energy Physics - Phenomenology · Physics 2015-06-17 Walter Grimus

Stimulated by Ma's idea which explains the tribimaximal neutrino mixing by assuming an A_4 flavor symmetry, a lepton mass matrix model is investigated. A Frogatt-Nielsen type model is assumed, and the flavor structures of the masses and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yoshio Koide

We discuss a neutrino mass model based on the S_4 flavor symmetry within the minimal seesaw framework, in which only two right-handed neutrinos are introduced and transform as 2 under S_4. Although the model contains less free parameters…

High Energy Physics - Phenomenology · Physics 2015-03-19 Rui-Zhi Yang , He Zhang

This is a review article about neutrino mass and mixing and flavour model building strategies based on discrete family symmetry. After a pedagogical introduction and overview of the whole of neutrino physics, we focus on the PMNS mixing…

High Energy Physics - Phenomenology · Physics 2016-03-01 Stephen F. King , Christoph Luhn

We study lepton flavor models with the $S_4$ flavor symmetry. We construct simple models with smaller numbers of flavon fields and free parameters, such that we have predictions among lepton masses and mixing angles. The model with a $S_4$…

High Energy Physics - Phenomenology · Physics 2015-05-28 Hajime Ishimori , Tatsuo Kobayashi

We have studied the lepton and quark mixing patterns which can be derived from the dihedral group $D_n$ in combination with CP symmetry. The left-handed lepton and quark doublets are assigned to the direct sum of a singlet and a doublet of…

High Energy Physics - Phenomenology · Physics 2019-01-23 Jun-Nan Lu , Gui-Jun Ding

Large mixing parameters of neutrino mass eigenstates in the neutrino flavor eigenstates are determined, and interpreted as closely related to the neutrino and charged lepton mass-ratio patterns. The three known seemingly different charged…

High Energy Physics - Phenomenology · Physics 2007-07-10 E. M. Lipmanov

We give a pedagogical introduction to right-handed neutrinos as a simple extension to the Standard Model (SM), focussing on seesaw models and their possible experimental signatures. We preface this with a review of the lepton sector of the…

High Energy Physics - Phenomenology · Physics 2025-09-08 Stephen F King

We propose a flavour model based on an $A_4$ symmetry combined with a type-II seesaw mechanism for neutrino mass generation. The resulting neutrino mass matrix obeys a sum rule that, together with the measured mass-squared differences,…

High Energy Physics - Phenomenology · Physics 2026-03-16 Salvador Centelles Chuliá , Ranjeet Kumar

Modular symmetries have been impeccable in neutrino and quark sectors. This motivated us, therefore, to propose a variant of scotogenic model based on modular $A_4$ symmetry to realize the neutrino mass generation at one-loop level through…

High Energy Physics - Phenomenology · Physics 2020-09-04 Mitesh Kumar Behera , Shivaramakrishna Singirala , Subhasmita Mishra , Rukmani Mohanta

If three right-handed neutrinos are added to the Standard Model, then, for the three known generations, there are six quarks and six leptons. It is then natural to assume that the symmetry considerations that have been applied to the quark…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Gastmans , Per Osland , Tai Tsun Wu

In this topical review we argue that neutrino mass and mixing data motivates extending the Standard Model to include a non-Abelian discrete flavour symmetry in order to accurately predict the large leptonic mixing angles and CP violation.…

High Energy Physics - Phenomenology · Physics 2015-11-12 Stephen F. King

We study a realization of neutrino masses within the linear seesaw mechanism based on non-holomorphic modular $A_4$ symmetry, extending modular-invariant flavor models beyond the conventional holomorphic framework. The model is constructed…

High Energy Physics - Phenomenology · Physics 2026-02-27 Rudra Majhi , Mitesh Kumar Behera , Rukmani Mohanta

The origin of fermion mass hierarchies and mixings is one of the unresolved and most difficult problem in high-energy physics. One possibility to address the flavour problem is by extending the Standard Model to include a family symmetry.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Stephen F. King , Alexander Merle , Stefano Morisi , Yusuke Shimizu , Morimitsu Tanimoto

The lepton sector masses and mixing angles can be explained in models based on $A_4$ symmetry. $A_4$ is a non-Abelian discrete group. Therefore, one issue in constructing models based on it is explaining the origin of $A_4$. A plausible…

High Energy Physics - Phenomenology · Physics 2010-02-23 Joshua Berger , Yuval Grossman

We provide a complete answer to the following question: what are the flavour groups and representations providing, in the symmetric limit, an approximate description of lepton masses and mixings? We assume that neutrinos masses are…

High Energy Physics - Phenomenology · Physics 2018-04-12 Y. Reyimuaji , A. Romanino

Discrete non-Abelian Symmetries have been extensively used to reproduce the lepton mixings. In particular, the S4 group turned out to be suitable to describe predictive mixing patterns, such as the well-known Tri-Bimaximal and the Bimaximal…

High Energy Physics - Phenomenology · Physics 2015-06-05 Federica Bazzocchi , Luca Merlo

We discuss flavor symmetries in left-right symmetric theories. We show that such frameworks are a different environment for flavor symmetry model building compared to the usually considered cases. This does not only concern the need to obey…

High Energy Physics - Phenomenology · Physics 2016-04-20 Werner Rodejohann , Xun-Jie Xu
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