Radiative corrections to the decay H → hh in the minimal supersymmetric standard model

Abstract We set up a suitable renormalization programme for the one-loop computation of the decay rate Γ(H → hh) in the minimal supersymmetric extension of the standard model. We then perform an explicit diagrammatic calculation, including the full contributions from top, bottom, stop and sbottom loops. We find that, for tan β close to 1 and m H ⪆ 2m t , the results can significantly differ from those previously obtained in the effective potential approach. However, the latter method remains a good approximation in the region of parameter space which is most relevant for H searches at large hadron colliders.