Some Implications of Charge and Color Breaking in the MSSM

Abstract

We examine some physically relevant implications of potentially dangerous charge and color breaking minima for supersymmetric models. First, we analyze the stability of the corresponding constraints with respect to variations of the initial scale for the running of the soft breaking terms, finding that the larger the scale is, the stronger the bounds become. In particular, by taking $M_P$ rather than $M_X$ for the initial scale, which is a more sensible election, we find substantially stronger and very important constraints. Second, we find general bounds on the universal gaugino mass, the universal scalar mass, $m\geq 55$ GeV, and the Higgs bilinear coefficient, $|B|\simlt 3m$. Finally, we study the infrared fixed point solution of the top quark mass. Again, the constraints on the parameter space turn out to be very important, including the analytically derivable bound $\left|M/m\right|\simlt 1$.