SUSY Scalar Production in the Electroweak Sudakov Regime of Lepton Colliders

Abstract

We consider the production of SUSY scalar pairs at lepton colliders, for c.m. energies much larger than the mass of the heaviest SUSY (real or virtual) particle involved in the process. In that energy regime, we derive the leading and subleading terms of the electroweak Sudakov logarithms in the MSSM, first working at one loop with physical states and then resumming to all orders with asymptotic expansions. We show that the first order of the resummed expression reproduces the physical one loop approximation, and compute systematically the possible effects on various observables both at one loop and to all orders. We discuss the regimes and the processes where the one loop approximation can or cannot be trusted, working in an energy range between 1 TeV and 4 TeV under a "light" SUSY mass assumption. As a byproduct of our analysis, we propose a determination of the MSSM parameter tan(beta) showing how a relative accuracy of about 25 percent can be easily achieved in the region tan(beta)>14, under reasonable experimental assumptions.