Effective Potential and KK-Renormalization Scheme in a 5D Supersymmetric Theory

TL;DR

This paper computes the 1-loop effective potential in a 5D supersymmetric model with orbifold compactification, demonstrating finiteness of contributions and discussing implications for theories with extra dimensions.

Contribution

It introduces a KK-renormalization scheme and shows that supersymmetry is not required for 1-loop finiteness in 5D models.

Findings

Fermionic and bosonic contributions are separately finite.

Supersymmetry is not necessary for 1-loop finiteness.

General arguments for finiteness in higher-dimensional theories.

Abstract

We calculate the 1-loop effective potential in a supersymmetric model in 5D with $S^1/(Z_2\times Z_2)$ 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.