Improving Vacuum Stability in Extra Dimension Model: Brane Localized Fields

Abstract

In this dissertation, the vacuum stability in Extra Dimensions was studied. We have studied the renormalization e ects of the Higgs self coupling in a ve-dimensional model where the gauge boson elds assumed to propagate in the bulk (full space time) while the matter elds are localized to the brane (sub space time). We derived the renormalization group equations for gauge, Yukawa and Higgs quartic couplings at one loop level for our two scenarios bulk and brane. Then, we used the recent Large Hadron Collider (LHC) bounds on the Higgs mass, we found that the Higgs self-coupling evolution has improved vacuum stability condition in brane case, which is in contrast with that of Standard Model and bulk scenario, where the theory has a much lower ultraviolet cuto (UV).