Quantum corrections for the MSSM Higgs couplings to SM fermions

Higgs Yukawa couplings to down-type fermions receive, in the MSSM, supersymmetric quantum corrections that can be of order 1 for large values of tan\beta, provided \mu \sim MSUSY. Therefore, a sensitive prediction for observables driven by any of these couplings can only be obtained after an all-order resummation of the large corrections. We perform this necessary step and show, as an example, the effect of the resummation on the computation of the p\bar{p},pp \to t\bar{b}H^{-} + X cross-section and on the branching ratio BR(b\to s\gamma) at the next-to-leading order.