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The lightest Higgs mass in supersymmetric models with extra dimensions

A. Delgado·M. Quiros
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Abstract

In the four-dimensional supersymmetric standard model extended with gauge singlets the lightest Higgs boson mass, $M_H$, has an important contribution proportional to the squared of the superpotential coupling $λ$ of singlets to Higgs fields, $λSH_1\cdot H_2$. The requirement of perturbativity up to the unification scale yields an upper bound on $M_H\sim 140$ GeV. In extensions to theories with (longitudinal) extra dimensions at the TeV where such coupling exists and massive Kaluza-Klein states fall into N=2 representations, if either of the Higgs or singlet fields live in the bulk of the extra dimensions, the $β$-function of $λ$ is suppressed due to the absence of anomalous dimension of hypermultiplets to leading order. This implies a slower running of $λ$ and an enhancement of its low energy value. The $M_H$ upper bound increases to values $M_H\lesssim 165$ GeV.

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A. Delgado, M. Quiros. 2000-04-13. The lightest Higgs mass in supersymmetric models with extra dimensions. https://doi.org/10.1016/s0370-2693(00)00650-x

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