Tri-linear Soft Couplings Running in Five Dimensional Minimal Super-symmetry Standard Models

Abstract

In this dissertation, we derived the Renormalization Group Equations (RGEs) for five dimensional Minimal Super-symmetric Standard Model (MSSM) plus additional fields〖 F〗^±. We found a successful unification of gauge coupling constants in this model very close to: 〖10〗^5.6 GeV. Yukawa couplings seemed to be tending to unify at some high scale and approximately vanish beyond the unification scale of the gauge couplings, i.e. 〖 10〗^5.6 GeV. We showed that a five dimensional (5D) MSSM+F^± with compactification scale of 15 TeV through powers law running generate a large tri-linear soft coupling A_t at low scales (~ 〖10〗^5.6 GeV). This value of A_(t )is governed and driven by the size of the gluino mass〖 M〗_3, which is necessary to be above collider bounds, however its large value dose not depends on how super-symmetry is broken. We have assumed that A_t vanish at the unification energy scale and it is entirely generated through renormalization group equation.