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We consider a minimal condition that predicts the 1-3 lepton mixing angle $\theta_{13} \simeq \theta_{\rm C}/\sqrt{2}$ with $\theta_{\rm C}$ the Cabibbo angle, and give the improved prediction of $\theta_{13}$. In the case of normal mass…

High Energy Physics - Phenomenology · Physics 2016-01-19 Junpei Harada

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

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

We note that a simple two parameter description of lepton mixing is possible which reproduces the features that apparently emerge from global fits at the 1\sigma level: if U_{e3} is non-zero it implies that the solar neutrino mixing…

High Energy Physics - Phenomenology · Physics 2015-06-05 Werner Rodejohann , He Zhang

The recent measurement of the third lepton mixing angle, \theta_{13}, has shown that, although small compared to \theta_{12} and \theta_{23}, it is much larger than anticipated in schemes that generate Tri-Bi-Maximal (TBM) or Golden Ratio…

High Energy Physics - Phenomenology · Physics 2015-06-15 L. J. Hall , G. G. Ross

We speculate that the mass spectrum of three neutrinos might have a normal hierarchy as that of three charged leptons or that of three up-type (or down-type) quarks. In this spirit, we propose a novel parametrization of the $3\times 3$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Harald Fritzsch , Zhi-zhong Xing

We present a comprehensive model independent analysis of all breaking patterns resulting from $\Delta(96)\rtimes H_{CP}$ in the tri-direct CP approach of the minimal seesaw model with two right-handed neutrinos. The three generations of…

High Energy Physics - Phenomenology · Physics 2025-10-29 Li-Na Yan , Xiang-Yan Gao , Gao-Da Liu , Cai-Chang Li

Leptonic mixing patterns are usually extracted on the basis of groups or algebraic structures. In this paper, we introduce an alternative geometric method to study the correlations between the leptonic mixing parameters. At the 3$\sigma$…

High Energy Physics - Phenomenology · Physics 2023-02-28 Ding-Hui Xu , Shu-Jun Rong

A simple Standard Model Extension based on $T_7$ flavor symmetry which accommodates lepton mass and mixing with non-zero $\theta_{13}$ and CP violation phase is proposed. At the tree- level, the realistic lepton mass and mixing pattern is…

High Energy Physics - Phenomenology · Physics 2019-05-01 V. V. Vien , H. N. Long

We survey the mixing patterns which can be derived from the discrete groups Sigma (36 x 3), Sigma (72 x 3), Sigma (216 x 3) and Sigma (360 x 3), if these are broken to abelian subgroups Ge and Gnu in the charged lepton and neutrino sector,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Claudia Hagedorn , Aurora Meroni , Lorenzo Vitale

A model independent analysis of the leptonic Dirac CP-violating phase ({\delta}) is presented. The analysis uses the experimentally determined values of the mixing angles in the lepton mixing matrix in order to explore the allowed values…

High Energy Physics - Phenomenology · Physics 2014-06-09 J. Alberto Acosta , Alfredo Aranda , Julio Virrueta

We propose two phenomenological scenarios of lepton mass matrices and show that either of them can exactly give rise to \tan^2\theta_{13} = m_e/(m_e + 2m_\mu), \tan^2\theta_{23} = m_\mu/(m_e + m_\mu) and \tan^2\theta_{12} = (m_e m_2 +…

High Energy Physics - Phenomenology · Physics 2010-02-17 Harald Fritzsch , Zhi-zhong Xing

We perform a systematical and analytical study of lepton mixing which can be derived from the subgroups of $SU(3)$ under the assumption that neutrinos are Dirac particles. We find that type D groups can predict lepton mixing patterns…

High Energy Physics - Phenomenology · Physics 2015-12-02 Chang-Yuan Yao , Gui-Jun Ding

In a recently proposed renormalizable model of neutrino mixing using the non-Abelian discrete symmetry T_7 in the context of a supersymmetric extension of the Standard Model with gauged U(1)_{B-L}, a correlation was obtained between…

High Energy Physics - Phenomenology · Physics 2013-05-30 Hajime Ishimori , Shaaban Khalil , Ernest Ma

We suggest two alternative schemes to predict lepton mixing angles as well as $CP$ violating phases from a discrete flavor symmetry group combined with $CP$ symmetry. In the first scenario, the flavor and $CP$ symmetry is broken to the…

High Energy Physics - Phenomenology · Physics 2017-01-25 Jun-Nan Lu , Gui-Jun Ding

The observed leptonic mixing pattern could be explained by the presence of a discrete flavour symmetry broken into residual subgroups at low energies. In this scenario, a residual generalised CP symmetry allows the parameters of the PMNS…

High Energy Physics - Phenomenology · Physics 2015-11-25 Peter Ballett , Silvia Pascoli , Jessica Turner

We present a concise review of the recent important experimental developments on neutrino mixing (hints for sterile neutrinos, large $\theta_{13}$, possible non maximal $\theta_{23}$, approaching sensitivity on $\delta_{CP}$) and their…

High Energy Physics - Phenomenology · Physics 2022-03-02 Guido Altarelli

We consider minimal modifications to tribimaximal (TBM) mixing matrix which accommodate non-zero mixing angle $\theta_{13}$ and CP violation. We derive four possible forms for the minimal modifications to TBM mixing in a model with $A_4$…

High Energy Physics - Phenomenology · Physics 2015-04-16 Sin Kyu Kang , Morimitsu Tanimoto

In the light of the recent measurement of the leptonic mixing angle $\theta_{13}$, implications of the latest mixing data have been investigated for non-minimal textures of lepton mass matrices pertaining to Dirac neutrinos. All these…

High Energy Physics - Phenomenology · Physics 2014-02-05 Samandeep Sharma , Priyanka Fakay , Gulsheen Ahuja , Manmohan Gupta

We present a concise review of the recent important experimental developments on neutrino mixing (hints for sterile neutrinos, large $\theta_{13}$, possible non maximal $\theta_{23}$, approaching sensitivity on $\delta_{CP}$) and their…

High Energy Physics - Phenomenology · Physics 2015-06-11 G. Altarelli