Evolution of the gauge couplings and Weinberg angle in 5-dimensions for an SU(5) and fipped SU(5) gauge group

We explicitly test, in a simplified 5-dimensional model with SU(5) and SU(5) x U(1)' gauge symmetries, the evolution of the gauge couplings. We assume that all the matter fields are propagating in the bulk, and consider orbifolds based on Abelian discrete groups which lead to 5-dimensional gauge theories compactified on an S-1/Z(2). The gauge couplings evolution is derived at one-loop level and used to test the impact on lower energy observables, in particular the Weinberg angle.