Dark matter stability at fixed points in a modular $A_4$ symmetry

Abstract

We propose a new mechanism of stabilization for dark matter under fixed points of modular A 4 symmetry, thanks to recovering a residual symmetry for each of fixed points at τ = ω, i, i × ∞. We find that a model at τ = i successfully reproduces the neutrino oscillation data without conflict of the DM stability.

Radiative neutrino masses from modular $A_4$ symmetry and supersymmetry breaking

“…3 Different applications to physics such as dark matter and origin of CP are found in refs. [7,8,12,15,59,[97][98][99][100][101][102][103][104][105]. Mathematical studies such as possible correction from Kähler potential, systematic analysis of the fixed points, and moduli stabilization are discussed in refs.…”

A radiative seesaw model in a supersymmetric modular $A_4$ group

“…1 Different applications to physics such as dark matter and origin of CP violation are found in refs. [7,8,12,15,58,[96][97][98][99][100][101]. Mathematical study such as possible correction from Kähler potential, systematic analysis of the fixed points, moduli stabilization are discussed in refs.…”

Zee model in a modular $A_4$ symmetry

“…1 Different applications to physics such as dark matter and origin CP are found in refs. [7,8,12,15,55,[91][92][93][94][95][96].…”

“…c) 12,23,13 are abbreviations of sin(cos)θ 12,23,13 . In general, the neutrino mass matrix ism ν = U P M N S diag[m 1 , m 2 , m 3 ]U T P M N S, where U P M N S is the PMNS matrix with components7 If we simply consider V eL ∼ V eR ∼ diag[1, 1, 1], one finds the following three zero neutrino mass texture:…”