Renormalization Group for Soft SUSY Breaking Parameters and MSSM Coupled with Superconformal Field Theories

Abstract

First we give a review of the spurion formalism and the exact renormalization group equations for soft supersymmetry breaking parameters in general gauge theories. Next we discuss the minimal supersymmetric standard model coupled to superconformal theories leading to hierarchical Yukawa couplings by large anomalous dimensions of quarks and leptons. The soft scalar masses are found to satisfy the noble sum rule in IR regime. It is possible construct the models such that the degenerate squark/slepton masses are realized thanks to this IR sum rule. However, it is found also that this degeneracy is slightly broken mainly by the radiative corrections of the SM gaugino mass insertion. We show that the degeneracy is sufficient for the squark sector, but weak for the slepton sector to avoid the supersymmetric flavor problems.