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We propose a generalized $\mu-\tau$ reflection symmetry to constrain the lepton flavor mixing parameters. We obtain a new correlation between the atmospheric mixing angle $\theta_{23}$ and the "Dirac" CP violation phase $\delta_{\rm CP}$.…

High Energy Physics - Phenomenology · Physics 2016-08-08 Peng Chen , Gui-Jun Ding , Felix Gonzalez-Canales , J. W. F. Valle

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

We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2 \times H^\nu_{\rm CP}$ symmetries in the charged lepton and neutrino…

High Energy Physics - Phenomenology · Physics 2017-12-07 J. T. Penedo , S. T. Petcov , A. V. Titov

We study the CP violation in the deviation from the tri-bimaximal mixing (TBM) of neutrinos. We examine non-trivial relations among the mixing angles and the CP violating Dirac phase in the typical four cases of the deviation from the TBM.…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yusuke Shimizu , Morimitsu Tanimoto , Kei Yamamoto

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

Assuming the Majorana nature of neutrinos, we recently performed a scan of leptonic mixing patterns derived from finite discrete groups of order less than 1536. Here we show that the 3 groups identified there as giving predictions close to…

High Energy Physics - Phenomenology · Physics 2013-09-04 Martin Holthausen , Kher Sham Lim

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we consider a number of forms of $U_{\nu}$ associated…

High Energy Physics - Phenomenology · Physics 2015-02-03 S. T. Petcov

Flavour groups have been extensively used to explain the pattern of mixing in the lepton sector. In combination with generalised CP six observables of the lepton sector can be predicted: three mixing angles and three phases. We present the…

High Energy Physics - Phenomenology · Physics 2015-06-24 Jessica Turner

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

The pattern of lepton mixing can emerge from breaking a flavor symmetry in different ways in the neutrino and charged lepton Yukawa sectors. In this framework, we derive the conditions imposed on the mixing matrix by the structure of…

High Energy Physics - Phenomenology · Physics 2013-05-30 D. Hernandez , A. Yu. Smirnov

We have studied two approaches to predict quark and lepton mixing patterns from the same flavor symmetry group in combination with CP symmetry. The first approach is based on the residual symmetry $Z_2$ in the charged lepton sector and…

High Energy Physics - Phenomenology · Physics 2018-09-19 Jun-Nan Lu , Gui-Jun Ding

We provide a classification of generalized CP symmetries preserved by the neutrino mass matrix according to the number of zero entries in the associated transformation matrix. We determine the corresponding constrained form of the lepton…

High Energy Physics - Phenomenology · Physics 2016-08-10 Peng Chen , Gui-Jun Ding , Felix Gonzalez-Canales , J. W. F. Valle

Working within the reference three-neutrino mixing framework, we confront the lepton mixing predictions derived using non-Abelian discrete flavour and CP symmetries with the first JUNO data on the solar neutrino mixing parameters…

High Energy Physics - Phenomenology · Physics 2025-12-17 Gui-Jun Ding , Cai-Chang Li , Jun-Nan Lu , S. T. Petcov

In this work, we have modified a scenario, originally proposed by Grimus and Lavoura, in order to obtain maximal values for atmospheric mixing angle and CP violating Dirac phase of the lepton sector. To achieve this, we have employed CP and…

High Energy Physics - Phenomenology · Physics 2022-10-05 Joy Ganguly , Raghavendra Srikanth Hundi

In the three-Higgs doublet model (3HDM) frame, we search for discrete flavour symmetries that give relations among the lepton masses and their mixing angles. We explore discreet non-Abelian groups of order less than 1035, treating neutrinos…

High Energy Physics - Phenomenology · Physics 2023-09-18 Joris Vergeest , Marek Zrałek , Bartosz Dziewit , Piotr Chaber

We provide a systematic and thorough exploration of the $\Delta(48)$ family symmetry and the consistent generalised CP symmetry. A model-independent analysis of the achievable lepton flavor mixing is performed by considering all the…

High Energy Physics - Phenomenology · Physics 2014-06-24 Gui-Jun Ding , Ye-Ling Zhou

Assuming that the observed pattern of 3-neutrino mixing is related to the existence of a (lepton) flavour symmetry, corresponding to a non-Abelian discrete symmetry group $G_f$, and that $G_f$ is broken to specific residual symmetries $G_e$…

High Energy Physics - Phenomenology · Physics 2015-12-23 I. Girardi , S. T. Petcov , Alexander J. Stuart , A. V. Titov

We construct a 3-3-1 model based on non-Abelian discrete symmetry $T_7$ responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets $\underline{3}$ and $\underline{3}^*$ under $T_7$. The flavor…

High Energy Physics - Phenomenology · Physics 2014-04-29 V. V. Vien , H. N. Long

We update and improve past efforts to predict the leptonic Dirac CP-violating phase with models that predict perturbatively modified tribimaximal or bimaximal mixing. Simple perturbations are applied to both mixing patterns in the form of…

High Energy Physics - Phenomenology · Physics 2022-11-23 Yang Hwan Ahn , Sin Kyu Kang , Raymundo Ramos , Morimitsu Tanimoto

We study mixing of the Dirac neutrinos in the residual symmetries approach. The key difference from the Majorana case is that the Dirac mass matrix may have larger symmetries: $G_\nu=\mathbf{Z}_{n}$ with $n\geq3$. The symmetry group…

High Energy Physics - Phenomenology · Physics 2015-12-02 Arman Esmaili , Alexei Yu. Smirnov