Squark and Slepton Mass Relations in Grand Unified Theories

Abstract

In the minimal supersymmetric standard model, assuming universal scalar masses at large energies, there are four intragenerational relations between the masses of the squarks and sleptons for each light generation. In this paper we study the scalar mass relations which follow only from the assumption that at large energies there is a grand unified theory which leads to a significant prediction of the weak mixing angle. Two new intragenerational mass relations for each of the light generations are derived. In addition, a third mass relation is found which relates the Higgs masses, the masses of the third generation scalars , and the masses of the scalars of the lighter generations. Verification of a fourth mass relation, involvingonly the charged slepton masses, provides a signal for SO(10) unification.