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Flavour symmetries appropriate for describing a neutrino spectrum with degenerate solar pair and a third massive or massless neutrino are discussed. We demand that the required residual symmetries of the leptonic mass matrices be subgroups…

高能物理 - 唯象学 · 物理学 2014-08-27 Anjan S. Joshipura , Ketan M. Patel

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…

高能物理 - 唯象学 · 物理学 2014-01-22 Anjan S. Joshipura , Ketan M. Patel

We discuss consequences of assuming ($i$) that the (Majorana) neutrino mass matrix $M_\nu$ displays flavour antisymmetry, $S_\nu^T M_\nu S_\nu=-M_\nu$ with respect to some discrete symmetry $S_\nu$ contained in $SU(3)$ and ($ii$) $S_\nu$…

高能物理 - 唯象学 · 物理学 2016-01-27 Anjan S. Joshipura

Status of the discrete symmetry approach to explanation of the lepton masses and mixing is summarized in view of recent experimental results, in particular, establishing relatively large 1-3 mixing. The lepton mixing can originate from…

高能物理 - 唯象学 · 物理学 2013-05-22 Alexei Y. Smirnov

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…

高能物理 - 唯象学 · 物理学 2016-03-01 Stephen F. King , Christoph Luhn

We discuss the neutrino masses and mixings as the realization of an $S_{3}$ flavour permutational symmetry in two models, namely the Standard Model and an extension of the Standard Model with three Higgs doublets. In the $S_3$ Standard…

高能物理 - 唯象学 · 物理学 2013-03-26 F. Gonzalez Canales , A. Mondragon , M. Mondragon

We discuss consequences of assuming that the (Majorana) neutrino mass matrix $M_\nu$ and the charged lepton mass matrix $M_l$ satisfy, $S_\nu^T M_\nu S_\nu=-M_\nu~,T_l^\dagger M_lM_l^\dagger T_l=M_lM_l^\dagger$ with respect to some discrete…

高能物理 - 唯象学 · 物理学 2016-08-31 Anjan S Joshipura , Newton Nath

We discuss the possibility of flavor symmetries to explain the pattern of charged lepton and neutrino masses and mixing angles. We emphasize what are the obstacles for the generation of an almost maximal atmospheric mixing and what are the…

高能物理 - 唯象学 · 物理学 2014-11-17 Shao-Long Chen , Michele Frigerio , Ernest Ma

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

We present a model based on an O(3) flavor symmetry and a minimal extension of the scalar sector to induce hierarchical breaking, O(3) -> O(2) -> SO(2) -> nothing. The model naturally accounts for all the known lepton parameters and yields…

高能物理 - 唯象学 · 物理学 2009-10-31 Gilad Perez

We develop a bottom-up approach to constructing a theory of fermion masses and mixing angles based on the gauge group $SU(3)\times G$ where SU(3) is a family symmetry and $G$ contains a unified group such as SO(10) or its Pati-Salam…

高能物理 - 唯象学 · 物理学 2015-06-25 S. F. King , G. G. Ross

The lepton mixing angles of the PMNS matrix are predicted based on the lepton flavor symmetry of a finite group $C_2\times D_3$, where the cyclic group $C_2$ acts on the charged lepton mass terms and the dihedral group $D_3$ on the neutrino…

高能物理 - 唯象学 · 物理学 2013-12-06 HoSeong La

We present a new mechanism to explain naturally and through a common flavour symmetry the mildly hierarchical neutrino masses with large mixings and the hierarchical Yukawa matrices with small mixing angles. Although this mechanism is not…

高能物理 - 唯象学 · 物理学 2007-05-23 Oscar Vives

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…

高能物理 - 唯象学 · 物理学 2026-01-13 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu , Jun-Nan Lu

We present a supersymmetric model with the flavour symmetry S4 x Z3 and a CP symmetry which are broken to a Z3 subgroup of the flavour symmetry in the charged lepton sector and to Z2 x CP (x Z3) in the neutrino one at leading order. This…

高能物理 - 唯象学 · 物理学 2014-02-18 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler

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

The recent discovery of a non-zero value of the mixing angle theta_13 has ruled out tri-bimaximal mixing as the correct lepton mixing pattern generated by some discrete flavor symmetry (barring large next-to-leading order corrections in…

高能物理 - 唯象学 · 物理学 2013-04-03 Martin Holthausen , Kher Sham Lim , Manfred Lindner

We update the analysis of the viability of the lepton mixing patterns originating from $A_4$, $S_4$ and $A_5$ discrete flavour symmetries and leading to predictions for the solar neutrino mixing angle, $\theta_{12}$. We perform a…

高能物理 - 唯象学 · 物理学 2026-03-19 S. T. Petcov , A. V. Titov

We study the lepton sector in the model based on the local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ which do not contain particles with exotic electric charges. The seesaw mechanism and discrete $A_4$ symmetry are introduced into…

高能物理 - 唯象学 · 物理学 2008-11-26 Furong Yin

We consider the case that the solar neutrino deficit is due to the vacuum oscillation. The lepton mass matrices with nearly bi-maximal mixings are needed in order to explain both solar and atmospheric neutrino deficit. A texture with the…

高能物理 - 唯象学 · 物理学 2011-03-10 Morimitsu Tanimoto
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