A modular A < inf > 4 < /inf > symmetric scotogenic model for neutrino mass and dark matter

Abstract

Modular symmetries have been impeccable in the neutrino and quark sectors. This motivated us to propose a variant of the scotogenic model based on modular A 4 symmetry and realize the neutrino mass generation at the one-loop level through a radiative mechanism. Alongside, we discuss the lepton flavour violating processes μ → e 3, μ → 3e and μ-e conversion in the nucleus. The lightest Dirac fermion turns out to be a potential dark matter candidate, made stable by the suitable assignment of modular weights. The relic density of this has been computed with annihilations mediated by inert scalars and the new U(1) gauge boson. The LEP-II and ATLAS dilepton constraints on the new gauge parameters are suitably considered to show the consistent parameter region.