Phenomenology of one zero texture Yukawa matrix in a flavor symmetric scotogenic model

The scotogenic model is well known for accommodating small neutrino mass and dark matter. We have here realized the with help of discrete flavor symmetry $A_{4}\otimes Z_{4}$. obtained three one zero textures Yukawa coupling matrices from studied its impact on phenomenology related aspects cosmology. On basis $\mu-\tau$ symmetry, we further discarded two structures texture matrix. analyze if effective active neutrinos by virtue matrix consistent KamLAND-Zen limit 0$\nu\beta\beta$. Also different lepton violating(LFV) processes such as $l_{\alpha}\longrightarrow l_{\beta}\gamma$ 3l_{\beta}$ are implemented their influence corresponding to entire work carried out considering matter mass($M_{DM}$) in region $450-750$ GeV. also some significant results baryon asymmetry Universe agreement matrices. Furthermore, interesting relic abundance distinct splittings between inert scalars.