What is the upper limit on the lightest supersymmetric Higgs mass?

TL;DR

This paper investigates the theoretical upper limit on the mass of the lightest supersymmetric Higgs boson, considering gauge coupling unification and current top-quark mass measurements, which has implications for experimental searches.

Contribution

It provides a calculation of the maximum possible lightest Higgs mass in supersymmetry under gauge coupling unification constraints.

Findings

Upper bound on Higgs mass can reach 205 GeV for certain parameters.

The bound depends on the top-quark mass and supersymmetric parameters.

Implications for experimental exclusion of supersymmetry based on Higgs mass limits.

Abstract

In this talk the question of what is the upper bound on the lightest supersymmetric Higgs mass, m_h is addressed. This question is relevant since experimental lower bounds on m_h might implement, in the near future, exclusion of supersymmetry. By imposing (perturbative) unification of the gauge couplings at some high scale \simgt 10^{17} GeV, we have found that for a top-quark mass M_t=175 GeV, and depending on the supersymmetric parameters, this bound can be as high as 205 GeV.