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We have considered a supersymmetric version of the inert Higgs doublet model,whose motivation is to explain smallness of neutrino masses and existence ofdark matter. In this supersymmetric model, due to the presence of discretesymmetries, neutrinos acquire masses at loop level. After computing theseneutrino masses, in order to fit the neutrino oscillation data, we have shownthat by tuning some supersymmetry breaking soft parameters of the model,neutrino Yukawa couplings can be unsuppressed. In the above mentioned parameterspace, we have computed branching ratio of the decay $\mu\to e\gamma$. To beconsistent with the current experimental upper bound on $Br(\mu\to e\gamma)$,we have obtained constraints on the right-handed neutrino mass of this model.

$\mu\to e\gamma$ in a supersymmetric radiative neutrino mass model