Effective potential and KK-renormalization scheme in a 5D supersymmetric theory Original Research Article

We calculate the 1-loop effective potential in a supersymmetric model in 5D with S1/(Z2×Z2) orbifold compactification. The procedure of calculation consists of evaluating first the integrals over four-momenta using the dimensional regularization and then the sum over Kaluza–Klein modes using the zeta-regularization. We show that both fermionic and bosonic contributions are separately finite and argue that, supersymmetry is not necessary for the finiteness of the theory at 1 loop. Also, some general arguments on the finiteness of the theory with arbitrary number of extra dimensions are presented.