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Two-loop Higgs mass in supersymmetric Kaluza-Klein theories

A. Delgado·G. v. Gersdorff·M. Quiros
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Abstract

We perform an explicit two-loop computation 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 and supersymmetry broken in the bulk of the extra dimension by Scherk-Schwarz boundary conditions. At one-loop, the Higgs mass is finite and proportional to 1/R^2, R being the radius of the extra dimension. The two-loop corrections contain finite proportional to 1/R^2 and linearly divergent Lambda/R terms, where Lambda is the cutoff of the five-dimensional theory. The divergent terms are cancelled by diagrams containing one-loop wave-function renormalization counterterms, i.e. by linear threshold effects of Yukawa (and gauge) couplings, at the scale 1/R. As a result there is no counterterm for the Higgs mass, which is finite and calculable to the considered order.

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A. Delgado, G. v. Gersdorff, M. Quiros. 2001-07-23. Two-loop Higgs mass in supersymmetric Kaluza-Klein theories. https://doi.org/10.1016/s0550-3213(01)00380-7

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