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

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.

12 pages, Latex. A new section is added and typos errors corrected. Also, added some clearifying remarks and refs

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• Loop Corrections in Higher Dimensions via Deconstruction
• The Effective Potential and Vacuum Stability within Universal Extra Dimensions
• Higher Derivative Operators from Scherk-Schwarz Supersymmetry Breaking on T^2/Z_2
• Renormalized masses of heavy Kaluza-Klein states
• Report of the Detailed Calculation of the Effective Potential in Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature
• Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional Scalar Fields
• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Higher Derivative Operators as Counterterms in Orbifold Compactifications
• A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence