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

In this dissertation, we derived the Renormalization Group Equations (RGEs) for five dimensional Minimal Super-symmetric Standard Model (MSSM) plus additional fields . We found a successful unification of gauge coupling constants in this model very close to: 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. GeV. We showed that a five dimensional (5D) MSSM with compactification scale of 15 TeV through powers law running generate a large tri-linear soft coupling at low scales . This value of is governed and driven by the size of the gluino mass , 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 vanish at the unification energy scale and it is entirely generated through renormalization group equation.