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We study the effect of sterile neutrino on some low scale processes in theframework of minimal extended seesaw (MES). MES is the extension of the seesawmechanism with the addition of sterile neutrino of intermediate mass. The MESmodel in this work is based on $\Delta(96)\times C_{2}\times C_{3}$ flavorsymmetry. The structures of mass matrices in the framework lead to $TM_{1}$mixing with $\mu \text{-}\tau$ symmetry. The model predicts maximal value ofDirac CP phase. We carry out our analysis to study the new physicscontributions from the sterile neutrino to different charged lepton flavorviolation (cLFV) processes involving muon and tau leptons as well asneutrinoless double beta decay (0$\nu\beta\beta$). The model predicts normalordering (NO) of neutrino masses and we perform the numerical analysisconsidering normal ordering (NO) only. We find that sterile neutrino mass inGeV range can lead to cLFV processes that are within the reach of current andplanned experiments. The GeV scale sterile neurtrino in our model is consistentwith the current limits on the effective neutrino mass set by $0\nu\beta\beta$experiments.

Effect of sterile neutrino on low energy processes in minimal extended seesaw with $\Delta(96)$ symmetry and $\text{TM}_{1}$ mixing