Scalar Dark Matter in A4 based texture one-zero neutrino mass model within Inverse Seesaw Mechanism

Abstract

Abstract In this paper, we present a model based on A4 discrete flavor symmetry implementing inverse and type-II seesaw mechanisms to have LHC accessible TeV scale right-handed neutrino mass and texture one-zero in the resulting Majorana neutrino mass matrix, respectively. We investigate neutrino and dark matter sectors of the model. Non-Abelian discrete A4 symmetry spontaneously breaks into Z2 subgroup and hence provide stable dark matter candidate. To constrain the Yukawa Lagrangian of our model, we imposed $Z^{\prime }_2$, Z3 and Z4 cyclic symmetries in addition to the A4 flavor symmetry. In this work we used the recently updated data on cosmological parameters from PLANCK 2018. For the dark matter candidate mass around 45 GeV-55 GeV, we obtain the mediator particle mass(right-handed neutrinos) ranging from 138 GeV to 155 GeV. The Yukawa couplings is found to be in the range 0.995-1 to have observed relic abundance of dark matter. We, further, obtain inverse ($X\equiv \frac{F^2n}{z^2}$) and type-II ($X^{^{\prime }}\equiv f_1 v_{\Delta _{1}}$) seesaw contributions to 0νββ decay amplitude |Mee|, while model being consistent with low energy experimental constraints. In particular, we emphasize that type-II seesaw contribution to |Mee| is large as compared to inverse seesaw contribution for normally ordered(NO) neutrino masses.