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We show how the nearly bi-maximal mixing scenario comes out naturally from gauged $SO(3)_{F}$ flavor symmetry via spontaneous symmetry breaking. An interesting relation between the neutrino mass-squared differences and the mixing angle,…

高能物理 - 唯象学 · 物理学 2007-05-23 Yue-Liang Wu

I review the construction of a model for lepton masses based on the flavour symmetry group A4 x U(1) reproducing the so-called tri-bimaximal lepton mixing scheme, in eccelent agreement with current data. The model predicts a neutrino…

高能物理 - 唯象学 · 物理学 2009-04-25 Ferruccio Feruglio

Recent atmospheric neutrino data at Super-Kamiokande suggest the large flavor mixing of neutrinos. Models for the lepton mass matrix, which give the near-maximal flavor mixing, are discussed in the three family model. Especially, details of…

高能物理 - 唯象学 · 物理学 2008-11-26 Morimitsu Tanimoto

In view of the recent neutrino oscillation data pointing to a non-vanishing value for the smallest mixing angle ($\theta_z$), we derive and find explicit realizations of the $(Z_2)^3$ flavor symmetry which characterizes, for the neutrino…

高能物理 - 唯象学 · 物理学 2013-05-30 E. I. Lashin , M. Abbas , N. Chamoun , S. Nasri

We review the application of non abelian discrete groups to the theory of neutrino masses and mixing, which is strongly suggested by the agreement of the Tri-Bimaximal mixing pattern with experiment. After summarizing the motivation and the…

高能物理 - 唯象学 · 物理学 2015-05-18 Guido Altarelli , Ferruccio Feruglio

We propose a simple non-supersymmetric lepton flavor model with $A_4$ symmetry. The $A_4$ group is a minimal one which includes triplet irreducible representation. We introduce three Higgs doublets which are assigned as triplet of the $A_4$…

高能物理 - 唯象学 · 物理学 2023-06-28 Yukimura Izawa , Yusuke Shimizu , Hironori Takei

Over the last ten years tri-bimaximal mixing has played an important role in modeling the flavour problem. We give a short review of the status of flavour symmetry models of neutrino mixing. We concentrate on non-Abelian discrete…

高能物理 - 唯象学 · 物理学 2015-06-05 S. Morisi , J. W. F. Valle

This work proposes two models of neutrino masses that predict non-zero $\theta_{13}$ under the non-Abelian discrete flavor symmetry $\mathbb{S}_3\otimes\mathbb{Z}_2$. We advocate that the size of $\theta_{13}$ is understood as a group…

高能物理 - 唯象学 · 物理学 2012-08-14 Kim Siyeon

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…

高能物理 - 唯象学 · 物理学 2016-04-20 Werner Rodejohann , Xun-Jie Xu

In the three-Higgs doublet model (3HDM) frame, we search for discrete flavour symmetries that give relations among the lepton masses and their mixing angles. We explore discreet non-Abelian groups of order less than 1035, treating neutrinos…

高能物理 - 唯象学 · 物理学 2023-09-18 Joris Vergeest , Marek Zrałek , Bartosz Dziewit , Piotr Chaber

In the frame of two Higgs doublet model we try to explain the lepton masses and mixing matrix elements assuming that neutrinos are Dirac particles. Discrete family symmetry groups, which are subgroups of U(3) up to the 1025 order are…

高能物理 - 唯象学 · 物理学 2016-06-21 Bartosz Dziewit , Jacek Holeczek , Monika Richter , Sebastian Zając , Marek Zrałek

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…

高能物理 - 唯象学 · 物理学 2021-04-01 Takehiko Asaka , Yongtae Heo , Takahiro Yoshida

We explore the implications of symmetries that remain unbroken at the self-dual point $\tau=i$ in modular invariant theories. Assuming that (a) the three generations of lepton doublets transform as an irreducible representation of a finite…

高能物理 - 唯象学 · 物理学 2024-10-02 Monal Kashav , Ketan M. Patel

We revisit a supersymmetric flavor model based on the symmetries $SU(2)_L \times A_4 \times Z_3 \times U(1)_R$, which extends the original Altarelli and Feruglio construction by introducing flavon and driving superfields responsible for the…

高能物理 - 唯象学 · 物理学 2025-12-10 Takaaki Nomura , Yusuke Shimizu , Towa Takahashi

I mainly describe neutrino masses and oscillations in the gauge model with $SO(3)_{F}$ lepton flavor symmetry and with two Higgs triplets. It is shown how the maximal mixing between $\nu_{\mu}$ and $\nu_{\tau}$ neutrinos comes out naturally…

高能物理 - 唯象学 · 物理学 2009-10-31 Yue-Liang Wu

Recent work on a lepton mass matrix model based on an SU(3) flavor symmetry which is broken into S_4 is reviewed. The flavor structures of the masses and mixing are caused by VEVs of SU(2)_L-singlet scalars \phi which are nonets ({\bf…

高能物理 - 唯象学 · 物理学 2007-07-09 Yoshio Koide

We discuss neutrino mass and mixing models based on discrete flavor symmetries. These models can include a variety of new interactions and non-standard particles such as sterile neutrinos, scalar Higgs singlets and multiplets. We point at…

We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus.…

高能物理 - 唯象学 · 物理学 2018-07-11 Tatsuo Kobayashi , Kentaro Tanaka , Takuya H. Tatsuishi

We consider the neutrino physics of models with a sequentially broken U(2) flavor symmetry. Such theories yield the observed pattern of quark and lepton masses, while maintaining sufficient degeneracies between superparticles of the first…

高能物理 - 唯象学 · 物理学 2014-11-17 Christopher D. Carone , Lawrence J. Hall

The gauge model with $SO(3)_{F}$ flavor symmetry and three Higgs triplets is studied. We show how the intriguing nearly degenerate neutrino mass and bi-maximal mixing scenario comes out naturally after spontaneous breaking of the symmetry.…

高能物理 - 唯象学 · 物理学 2015-06-25 Yue-Liang Wu
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