One-loop Higgs mass finiteness in supersymmetric Kaluza-Klein theories

Abstract

We analyze the one-loop ultraviolet sensitivity of the Higgs mass in a five-dimensional supersymmetric theory compactified on the orbifold S^1/Z_2, with superpotential localized on a fixed-point brane. Four-dimensional supersymmetry is broken by Scherk-Schwarz boundary conditions. Kaluza-Klein interactions are regularized by means of a brane Gaussian distribution along the extra dimension with length l_s\simeqΛ^{-1}_s, where Λ_s is the cutoff of the five-dimensional theory. The coupling of the n-mode, with mass M^{(n)}, acquires the n-dependent factor exp{-(M^{(n)}/Λ_s)^2/2}, which makes it to decouple for M^{(n)}\gg Λ_s. The sensitivity of the Higgs mass on Λ_s is strongly suppressed and quadratic divergences cancel by supersymmetry. The one-loop correction to the Higgs mass is finite and equals, for large values of Λ_s, the value obtained by the so-called KK-regularization.

8 pages, 1 figure. The discussion on the distribution giving rise to couplings suppressed by exp(-M/Lambda) is revised and the result is finite and equals that of the Gaussian case