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We extend a previously developed description of the flavour parameters in the charged fermion sector, based on a U(2) flavour symmetry, to include two main features of the neutrino sector seemingly implied by recent data: a large mixing…

High Energy Physics - Phenomenology · Physics 2014-11-17 Riccardo Barbieri , Paolo Creminelli , Andrea Romanino

We analyse the interplay of generalised CP transformations and the non-Abelian discrete group $T^{\prime}$ and use the semi-direct product $G_f= T^{\prime}\rtimes H_{\text{CP}}$, as family symmetry acting in the lepton sector. The family…

High Energy Physics - Phenomenology · Physics 2014-05-20 Ivan Girardi , Aurora Meroni , S. T. Petcov , Martin Spinrath

The charged fermion masses of the three generations exhibit the two strong hierarchies m_3 >> m_2 >> m_1. We assume that also neutrino masses satisfy m_{nu 3} > m_{nu 2} > m_{nu 1} and derive the consequences of the hierarchical spectra on…

High Energy Physics - Phenomenology · Physics 2015-02-02 Wolfgang Gregor Hollik , Ulises Jesus Saldana Salazar

Present data prefer a large but non-maximal 2-3 mixing in the lepton sector. We argue that this value, in connection with $\sin\theta_{13}\simeq 0.15$, is the generic outcome of minimal flavour structures. We present a few different…

High Energy Physics - Phenomenology · Physics 2017-08-15 Michele Frigerio , Albert Villanova del Moral

Two guiding new phenomenological flavor and flavor-electroweak ideas are expounded in this paper: (I) Oppositeness relation between neutrino and Charged Lepton Mass-Degeneracy-Deviation quantities. With inputs from the mass and neutrino…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. M. Lipmanov

We propose a simple phenomenological model of quarks-leptons mass matrices having fundamentally universal symmetry structure. These mass matrices consist of democratic and semi-democratic mass matrix terms commonly to the neutrino and the…

High Energy Physics - Phenomenology · Physics 2016-01-20 Hiroyuki Nishiura , Takeshi Fukuyama

We combine $SU(5)$ Grand Unified Theories (GUTs) with $A_4$ modular symmetry and present a comprehensive analysis of the resulting quark and lepton mass matrices for all the simplest cases. Classifying the models according to the…

High Energy Physics - Phenomenology · Physics 2021-05-12 Peng Chen , Gui-Jun Ding , Stephen F. King

Under the hypothesis that the CP violating phase parameter \delta in the CKM matrix V takes own value so that the radius R(\delta) of the circle circumscribed about the unitary triangle takes its minimum value, possible phase conventions of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshio Koide

We discuss a supersymmetric model with discrete flavor symmetry $A_4\times Z_3$. The additional scalar fields which contribute masses of leptons in the Yukawa terms are introduced in this model. We analyze their scalar potential and find…

High Energy Physics - Phenomenology · Physics 2018-01-10 Takuya Morozumi , Hideaki Okane , Hiroki Sakamoto , Yusuke Shimizu , Kenta Takagi , Hiroyuki Umeeda

A unified description of fermionic mixing is proposed which assumes that in certain basis ($i$) a single complex unitary matrix $V$ diagonalizes mass matrices of all fermions to the leading order, ($ii$) the SU(5) relation $M_d=M_l^T$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Anjan S. Joshipura , A. Yu. Smirnov

I introduce a simple phenomenological model of lepton flavor mixing and CP violation based on the flavor democracy of charged leptons and the mass degeneracy of neutrinos. The nearly bi-maximal mixing pattern, which can interpret current…

High Energy Physics - Phenomenology · Physics 2009-10-31 Zhi-zhong Xing

We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton…

High Energy Physics - Phenomenology · Physics 2013-07-03 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler

The measurements of the neutrino and quark mixing angles satisfy the empirical relations called Quark-Lepton Complementarity. These empirical relations suggest the existence of a correlation between the mixing matrices of leptons and…

High Energy Physics - Phenomenology · Physics 2010-10-27 J. Barranco , F. Gonzalez Canales , A. Mondragon

Models of leptonic flavour with discrete symmetries can provide an attractive explanation of the pattern of elements found in the leptonic mixing matrix. The next generation of neutrino oscillation experiments will allow the mixing…

High Energy Physics - Phenomenology · Physics 2015-06-19 Peter Ballett , Stephen F. King , Christoph Luhn , Silvia Pascoli , Michael A. Schmidt

We consider a class of models of neutrino mixing with $S_4$ flavour symmetry and generalised CP symmetry, broken to $Z_2$ and $Z_2 \times {\rm CP}$ residual symmetries in the charged lepton and neutrino sectors, respectively. In this…

High Energy Physics - Phenomenology · Physics 2018-03-30 J. T. Penedo , S. T. Petcov , A. V. Titov

We give an overview of recent progress in the study of fermion mass and flavor mixing phenomena. The hints exhibited by the quark and lepton mass spectra towards possible underlying flavor symmetries, from which realistic models of mass…

High Energy Physics - Phenomenology · Physics 2014-11-17 Harald Fritzsch , Zhi-zhong Xing

The modular $A_4$ symmetry with three moduli is investigated. We assign different moduli to charged leptons, neutrinos, and quarks. We analyze these moduli at their fixed points where a residual symmetry exists. We consider two…

High Energy Physics - Phenomenology · Physics 2024-12-30 Mohammed Abbas , Shaaban Khalil

We point out that there is a unique parametrization of quark flavor mixing in which every angle is close to the Cabibbo angle \theta_C \simeq 13^\circ with the CP-violating phase \phi_q around 1^\circ, implying that they might all be…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jean-Marc Gerard , Zhi-zhong Xing

Flavour symmetries of Froggatt-Nielsen type can naturally reconcile the large quark and charged lepton mass hierarchies and the small quark mixing angles with the observed small neutrino mass hierarchies and their large mixing angles. We…

High Energy Physics - Phenomenology · Physics 2012-03-19 Wilfried Buchmüller , Valerie Domcke , Kai Schmitz

We have studied implications of the generic lopsided mass matrix of the charged leptons by taking the SU(5) GUT relation in the nearest-neighbor interaction (NNI) basis. We have found four interesting relations among the lepton mixings and…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Okamura , M. Tanimoto
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