Role of the Right-Handed Neutrino in

\nWe perform a model-independent study of c → sµν mediated transitions to analyze the new physics effects in the presence of right-handed neutrinos. We have adopted the effective field theory approach and write the lowenergy effective Hamiltonian including all possible dimension-six operators. The Wilson coefficients introduced through low energy effective Hamiltonian encode all New Physics that can enter in c → s transition at the dimension-six operator level. These Wilson coefficients are determined through a χ2 fit by using the Miniut package to available experimental data of leptonic Ds+ → µ+νµ and semileptonic decays D0 → K−µ+νµ, D+ → K¯0µ+νµ and D0 → K∗−µ+νµ, D+ → K¯∗0µ+νµ, Ds+ → φµ+νµ. The differential decay width of Bc+ → Bsµ+νµ is derived to investigate the role of right-handed neutrinos in the search for new physics through the three-body decay process. We also make the predictions of q2 spectra for the mode Bc+ → Bsμ+νμ to inspect the effect of the allowed new physics in c → s sector through right-handed neutrinos to motivate the future measurements.\n