image in the MSSM at NNLO Original Research Article

We present the results of the calculation of QCD corrections to the matching conditions for the Wilson coefficients of operators mediating the transition image in the context of the MSSM. Within a scenario with decoupled heavy gluino the calculated contributions together with those present already in the literature allow for the first time a complete NNLO analysis of image. We study the impact of the QCD corrections and the reduction of renormalization scale dependencies for the dilepton invariant mass distribution and the forward–backward asymmetry in the inclusive decay image restricting the analysis to the “low-s” region and small values of image. The NNLO calculation allows to decrease the theoretical uncertainties related to the renormalization scale dependence below the size of supersymmetric effects in image depending on their magnitude. While it will be difficult to distinguish the MSSM expectations for the branching ratio from the Standard Model ones, this can become possible in the dilepton invariant mass distribution depending on the MSSM parameters and image. In this respect the position of the zero of the forward–backward asymmetry image is even more promising.