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 S1/Z2, 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 ls-1s, where 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)/s)2/2, which makes it to decouple for M(n) s. The sensitivity of the Higgs mass on 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 s, the value obtained by the so-called KK-regularization.
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