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

TL;DR

This paper calculates the upper bound on the lightest Higgs boson mass in a supersymmetric multi-Higgs-doublet model, including two-loop corrections, showing it can be up to 140 GeV, which is higher than in the MSSM.

Contribution

It provides the first detailed two-loop order calculation of the Higgs mass bound in the multi-Higgs-doublet SUSY model, accounting for large Yukawa corrections.

Findings

Upper bound of 140 GeV for $\\Lambda=10^{4}$ GeV

Higgs mass bound is 10 GeV higher than in MSSM

Includes two-loop leading-log corrections

Abstract

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 $\Lambda$, below which the theory remains perturbative. Even for $\Lambda=10^{4}$ GeV, we obtain the upper bound of 140 GeV, which is heavier than that of the MSSM by 10 GeV.