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The observed pattern of fermion masses and mixing is an outstanding puzzle in particle physics, generally known as the flavor problem. Over the years, guided by precision neutrino oscillation data, discrete flavor symmetries have often been…

An important class of flavour groups, that are subgroups of $U(3)$ and that predict experimentally viable lepton mixing parameters including Majorana phases, is the $\Delta(6n^2)$ series. The most well-known member is $\Delta(24)=S_4$. I…

High Energy Physics - Phenomenology · Physics 2015-09-02 Thomas Neder

The so-called Golden Mass Relation provides a testable correlation between charged-lepton and down-type quark masses, that arises in certain flavor models that do not rely on Grand Unification. Such models typically involve broken family…

High Energy Physics - Phenomenology · Physics 2024-05-16 Mu-Chun Chen , Stephen F. King , Omar Medina , José W. F. Valle

We construct a simple model of fermion masses based on a spontaneously broken S3 X Z3 flavour group. At the leading order, in the neutrino sector S3 is broken down to a \nu_\mu-\nu_\tau parity subgroup that enforces a maximal atmospheric…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ferruccio Feruglio , Yin Lin

The use of extra space-time dimensions provides a promising approach to the flavour problem. The chosen compactification of a 6-dimensional orbifold implies a remnant family symmetry $A_4$. This makes interesting predictions for quark and…

High Energy Physics - Phenomenology · Physics 2023-01-10 Francisco J. de Anda , Omar Medina , José W. F. Valle , Carlos A. Vaquera-Araujo

We address the flavour problem by incorporating the hypothesis of universal strength of Yukawa couplings in the framework of a 5D GUT model compactified on an $S^1/(Z_2 \times Z_2^{\prime})$ orbifold. We show that a quantitatively…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gautam Bhattacharyya , Gustavo C. Branco , Joaquim I. Silva-Marcos

In the simplest (non-quiver) unified theories, fermion families are often treated sequentially and a flavor symmetry may act similarly. As an alternative with non-sequential flavor symmetry, we consider a model based on the group…

High Energy Physics - Phenomenology · Physics 2011-08-12 David A. Eby , Paul H. Frampton , Xiao-Gang He , Thomas W. Kephart

Present situation in the flavour mixing of quarks and leptons is briefly reviewed and a new approach called the Minimal Flavour Mixing (MFM) is considered in detail. According to MFM the whole of the flavour mixing is basically determined…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. L. Chkareuli

In order to explain the fermion masses and mixings naturally, we introduce a specific flavor symmetry and mass suppression pattern that constrain the flavor structure of the fermion Yukawa couplings. Our model describes why the hierarchy of…

High Energy Physics - Phenomenology · Physics 2015-06-18 Y. H. Ahn , Paolo Gondolo

We argue that there exists simple relation between the quark and lepton mixings which supports the idea of grand unification and probes the underlying robust bi-maximal fermion mixing structure of still unknown flavor physics. In this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martti Raidal

An extension of the Standard Model (SM) based on the non-Abelian discrete group $\Delta(27)$ is considered. The $\Delta(27)$ flavour symmetry is spontaneously broken only by gauge singlet scalar fields, therefore our model is free from any…

High Energy Physics - Phenomenology · Physics 2015-03-18 Mohammed Abbas , Shaaban Khalil

We propose a realistic theory of fermion masses and mixings using a five-dimensional warped scenario where all fermions propagate in the bulk and the Higgs field is localized on the IR brane. The assumed $T'$ flavor symmetry is broken on…

High Energy Physics - Phenomenology · Physics 2020-12-08 Peng Chen , Gui-Jun Ding , Jun-Nan Lu , José W. F. Valle

We study a second CP symmetry compatible with the $A_4$ flavor group, which interchanges the representations $\mathbf{1}'$ and $\mathbf{1}"$. We analyze the lepton mixing patterns arising from the $A_4$ and CP symmetry broken to residual…

High Energy Physics - Phenomenology · Physics 2016-11-23 Cai-Chang Li , Jun-Nan Lu , Gui-Jun Ding

We explore the phenomenological quark-lepton mass matrices, which are devised following the S$_3$ flavour symmetry principle, yet fully consistent with SU(5) gauge models with the Higgs particles of {\bf 5}, {\bf 45} and their conjugates.…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Fukugita , M. Tanimoto , T. Yanagida

In this letter we present a model for quarks and leptons based on T7 as flavour symmetry, predicting a canonical mass relation between charged leptons and down-type quarks proposed earlier. Neutrino masses are generated through a Type-I…

High Energy Physics - Phenomenology · Physics 2015-01-21 Cesar Bonilla , Stefano Morisi , Eduardo Peinado , Jose W. F. Valle

We propose a minimal $A_4$ flavor symmetric model, assisted by $Z_2 \times Z_3$ symmetry, which can naturally takes care of the appropriate lepton mixing and neutrino masses via Type-I seesaw. It turns out that the framework, originated due…

High Energy Physics - Phenomenology · Physics 2022-01-05 Arghyajit Datta , Biswajit Karmakar , Arunansu Sil

We propose an extra-dimension framework on the orbifold $S^1/Z_2$ for understanding the origin of the fermion mass and mixing hierarchies. Introducing the flavor symmetry $G_F(=${\it non-Abelian}$\times${\it Abelian}) as well as the extra…

High Energy Physics - Phenomenology · Physics 2022-11-09 Y. H. Ahn , Sin Kyu Kang , Hyun Min Lee

We propose a model of quark and lepton mixing based on the tetrahedral A(4) family symmetry with quark-lepton unification via the tetra-colour Pati-Salam gauge group SU(4)_{PS}, together with SU(2)_L x U(1)_R. The "tetra-model" solves many…

High Energy Physics - Phenomenology · Physics 2015-06-17 Stephen F. King

A generalized CP symmetry for leptons is presented where CP transformations are part of an $S_4$ symmetry that connects different families. We study its implications for lepton mixings in a gauge model realization of the idea using type II…

High Energy Physics - Phenomenology · Physics 2012-10-17 R. N. Mohapatra , C. C. Nishi

The successful A4 family symmetry for leptons is applied to quarks, motivated by the quark-lepton assignments of SU(5). Realistic quark masses and mixing angles are obtained, in good agreement with data. In particular, we find a strong…

High Energy Physics - Phenomenology · Physics 2011-09-29 Ernest Ma , Hideyuki Sawanaka , Morimitsu Tanimoto