New partial symmetries from group algebras for lepton mixing

Abstract

Recent stringent experiment data of neutrino oscillations induces partial symmetries such as $Z_2$, $Z_2\times CP$ to derive lepton mixing patterns. New partial symmetries expressed with elements of group algebras are studied. A specific lepton mixing pattern could correspond to a set of equivalent elements of a group algebra. The transformation which interchanges the elements could express a residual $CP$ symmetry. Lepton mixing matrices from $S_3$ group algebras are of the trimaximal form with the $\mu -\tau$ reflection symmetry. Accordingly, elements of $S_3$ group algebras are equivalent to $Z_2\times CP$. Comments on $S_4$ group algebras are given. The predictions of $Z_2\times CP$ broken from the group $S_4$ with the generalized $CP$ symmetry are also obtained from elements of $S_4$ group algebras.

arXiv comment15 pages, 1 figure. More refs. are added

References in corpus (33)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Neutrino Mass and Mixing with Discrete Symmetry
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• A_4 Symmetry and Neutrinos with Very Different Masses
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• A4 See-Saw Models and Form Dominance
• Generalised CP and $A_4$ Family Symmetry
• Mass Independent Textures and Symmetry
• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Lepton mixing from the interplay of the alternating group A5 and CP
• Large neutrino mixing angle θ_{13}^{MNS} and quark-lepton mass ratios in unified flavour models
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Trimaximal $\mu$-$\tau$ reflection symmetry
• Origin of Constrained Maximal CP Violation in Flavor Symmetry
• Predictions for Leptonic Mixing Angle Correlations and Non-trivial Dirac CP Violation from $A_5$ with Generalised CP Symmetry
• Mixing Patterns from the Groups Sigma (n phi)
• Lepton and Quark Mixing Patterns from Finite Flavor Symmetries
• Deviation from Bimaximal Mixing and Leptonic CP Phases in $S_4$ Family Symmetry and Generalized CP
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Lepton Mixing Predictions from Infinite Group Series $D_{9n,3n}^{(1)}$ with Generalized CP
• Horizontal symmetries of leptons with a massless neutrino
• Discrete flavour symmetries for degenerate solar neutrino pair and their predictions
• Lepton mixing patterns from the group $\Sigma (36\times 3)$ with a generalized CP transformation
• Models for Neutrino Masses and Mixings
• Residual $Z_2$ symmetries and leptonic mixing patterns from finite discrete subgroups of $U(3)$