Lepton Flavor Model and Decaying Dark Matter in The Binary Icosahedral Group Symmetry

Abstract

We propose a new flavor model that can simlutaneously well-describe the indirect detection experiment of (decaying) dark matter in the cosmic-ray, with the binary icosahedral group A'_5. We show not only that the A'_{5} symmetry can derive quark and lepton masses and mixings consistently, but also that are expected some predictions for the lepton sector. And if we assume a gauge-singlet fermionic decaying dark matter, its decay operators are also constrained by this symmetry so that only dimension six operators of leptonic decay are allowed up to six dimensional Lagrangians. We find that the cosmic-ray anomalies reported by PAMELA and Fermi-LAT are well explained by decaying dark matter controlled by the A'_{5} flavor symmetry, which induces universal decays.

29 pages, 4 tables, 1 figure

References in corpus (12)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Measurement of separate cosmic-ray electron and positron spectra with the Fermi Large Area Telescope
• Discrete dark matter
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Golden Ratio Prediction for Solar Neutrino Mixing
• Neutrino phenomenology and stable dark matter with A4
• T(13) Flavor Symmetry and Decaying Dark Matter
• Leptonic mixing, family symmetries, and neutrino phenomenology
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Searching for Smoking Gun Signatures of Decaying Dark Matter
• Dynamical Matter-Parity Breaking and Gravitino Dark Matter
• Seesaw Mechanism Confronting PAMELA in S_4 Flavor Symmetric Extra U(1) Model

Cited by in corpus (13)

• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• An SU(5) x A5 Golden Ratio Flavour Model
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• A Golden A_5 Model of Leptons with a Minimal NLO Correction
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• New Interpretation of the Recent Result of AMS-02 and Multi-component Decaying Dark Matters with non-Abelian Discrete Flavor Symmetry
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• Sum Rules for Leptons
• One-parameter Neutrino Mass Matrix and Symmetry Realization
• Neutrino Oscillations in the Three Flavor Paradigm