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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 alternative descriptions of the charged lepton sector in modular invariant models of lepton masses and mixing angles. In addition to the modulus, the symmetry breaking sector of our models includes ordinary flavons. Neutrino mass…

High Energy Physics - Phenomenology · Physics 2020-03-18 Juan Carlos Criado , Ferruccio Feruglio , Simon J. D. King

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

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…

High Energy Physics - Phenomenology · Physics 2026-01-13 Gui-Jun Ding , Stephen F. King , Xiang-Gan Liu , Jun-Nan Lu

Using discrete flavour group, $A_5$, combined with generalised CP, we study the mixing parameter correlations which arise from breaking to residual symmetries in the neutrino, $G_{\nu}=\mathbb{Z}_2\times \text{CP}$, and charged lepton…

High Energy Physics - Phenomenology · Physics 2015-12-23 Jessica Turner

An elegant model is proposed by extending the Standard Model using the $\Delta(27)\times Z_3 \times Z_{10}$ symmetry within the framework of the Type-I + Type-II seesaw mechanism. This model is particularly noteworthy for its ability to…

High Energy Physics - Phenomenology · Physics 2025-03-26 Manash Dey , Subhankar Roy

In drawing on an analogy with the flavor mixing observed in the quark sector we discuss a pattern of large flavor mixing angles in the lepton sector. Simple arguments based on a democratic symmetry and its violation in the lepton sector…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harald Fritzsch , Zhi-Zhong Xing

We present a model of neutrino mixing based on the flavour group $\Delta(27)$ in order to account for the observation of a non-zero reactor mixing angle ($\theta_{13}$). The model provides a common flavour structure for the charged-lepton…

High Energy Physics - Phenomenology · Physics 2014-06-10 P. F. Harrison , R. Krishnan , W. G. Scott

The flavour lepton symmetry is gauged for both the Standard Model flavor group and its extension with three degenerate right-handed neutrinos. As a consequence of anomaly cancellation, exotic leptons are introduced which induce a see-saw…

High Energy Physics - Phenomenology · Physics 2017-05-18 P. Quilez

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

We phenomenologically build a neutrino mass matrix obeying $\mu-\tau$ symmetry with only two parameters, Cabibbo angle $(\lambda)$ and a flavour twister parameter $(\eta)$. For vanishing $\eta$, the model assumes TBM mixing. When…

High Energy Physics - Phenomenology · Physics 2013-04-09 Subhankar Roy , N. Nimai Singh

The Standard Model lacks an organizing principle to describe quark and lepton ``flavours''. Neutrino oscillation experiments show that leptons mix very differently from quarks, adding a major challenge to the flavour puzzle. We briefly…

High Energy Physics - Phenomenology · Physics 2025-02-04 Gui-Jun Ding , Jose W. F. Valle

In this paper, we present a systematic investigation on simple inverse seesaw models for neutrino masses and flavor mixing based on the modular $S^{}_4$ symmetry. Two right-handed neutrinos and three extra fermion singlets are introduced to…

High Energy Physics - Phenomenology · Physics 2021-10-01 Xinyi Zhang , Shun Zhou

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…

High Energy Physics - Phenomenology · Physics 2013-12-06 HoSeong La

We have studied $\Delta(54)\times Z_2$ flavor model for leptons and sleptons. The tri-bimaximal mixing can be reproduced for arbitrary neutrino masses if vacuum alignments of scalar fields are guaranteed. The deviation from the…

High Energy Physics - Phenomenology · Physics 2010-01-15 Hajime Ishimori , Tatsuo Kobayashi , Hiroshi Okada , Yusuke Shimizu , Morimitsu Tanimoto

We show that a non-vanishing angle theta_13 of order 0.1 can be predicted in the framework of discrete flavour symmetries. We assume that left-handed leptons transform as triplets under a group G_f which is broken in such a way that…

High Energy Physics - Phenomenology · Physics 2011-09-13 Reinier de Adelhart Toorop , Ferruccio Feruglio , Claudia Hagedorn

We study charged lepton flavour violation in a scenario in which light neutrino masses are generated via the inverse seesaw mechanism with 3+3 gauge singlet fermions, Ni and Sj, i,j=1,2,3. Lepton mixing is predicted with the help of the…

High Energy Physics - Phenomenology · Physics 2025-07-18 F. P. Di Meglio , C. Hagedorn

We consider a type-I seesaw framework with a flavour symmetry from the series of non-abelian groups $\Delta (3 n^2)$ and $\Delta (6 n^2)$ and a CP symmetry. Breaking these symmetries non-trivially results in the right-handed neutrinos being…

High Energy Physics - Phenomenology · Physics 2022-12-20 Marco Drewes , Yannis Georis , Claudia Hagedorn , Juraj Klarić

We review and investigate lepton flavor models, stemming from discrete non-Abelian flavor symmetries, described by one or two free model parameters. First, we confront eleven one- and seven two-parameter models with current results on…

High Energy Physics - Phenomenology · Physics 2020-07-07 Mattias Blennow , Monojit Ghosh , Tommy Ohlsson , Arsenii Titov

We suggest a low-scale model based on $A_4\times Z_4 \times Z_2$ symmetry and a global lepton number $U(1)_L$ symmetry capable of generating the current neutrino data. The neutrino mass smallness is reproduced by the linear seesaw…

High Energy Physics - Phenomenology · Physics 2023-02-08 V. V. Vien , H. N. Long