The Higgs mass bound in the SUSY multi-Higgs-doublet model

The upper bound on the mass of the lightest Higgs boson is provided in the supersymmetric standard model with multi-Higgs doublets, up to two-loop order. Relatively large corrections are expected from the experimentally unconstrained extra Yukawa couplings. We calculate it including the two-loop leading-log contributions as a function of the scale $Λ$, below which the theory remains perturbative. Even for $Λ=10^{4}$ GeV, we obtain the upper bound of 140 GeV, which is heavier than that of the MSSM by 10 GeV.

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