Connecting dark matter, baryogenesis and neutrinoless double beta decay in a $A_{4}\otimes Z_{8}$ based $ν$2HDM

Abstract: In this paper, we discuss the impact of neutrino phenomenology and related cosmology on an $A_{4}\otimes Z_{8}$ symmetric $\nu$2HDM along with an addition of a new particle, i.e. a gauge singlet(S). The additional particle is a sterile neutrino which is considered to be a probable dark matter candidate in our work. With the choice of sterile neutrino mass in keV range we evaluate the active-DM mixing angle, decay rate and relic abundance considering various cosmological constraints. Simultaneously, a detailed analysis on baryogenesis and neutrinoless double beta decay is also carried out for low scale right-handed neutrino masses. We have considered various bounds from experiments such as Lyman-$\alpha$, X-ray observation, Planck data and KamLAND-Zen limit to validate the model w.r.t the phenomena studied in it.