The Higgs boson mass in a natural MSSM with nonuniversal gaugino masses at the GUT scale

TL;DR

This paper identifies a parameter space in a natural MSSM with nonuniversal gaugino masses at the GUT scale that predicts a Higgs boson mass around 125 GeV with reduced fine-tuning, aligning with LHC observations.

Contribution

It demonstrates that specific nonuniversal gaugino masses at the GUT scale can naturally produce the observed Higgs mass with less fine-tuning in the MSSM.

Findings

Higgs boson mass in the range 124.4-126.8 GeV can be achieved

Reduced fine-tuning of the Higgsino mass parameter is possible

A typical superparticle spectrum consistent with observations is presented

Abstract

We identify a parameter region where the mass of the lightest CP-even Higgs boson resides in $124.4-126.8$ GeV, and at the same time the degree of tuning a Higgsino-mass parameter (so-called $\mu$-parameter) is relaxed above 10% in the minimal supersymmetric standard model (MSSM) with soft supersymmetry breaking terms, by solving the full set of one-loop renormalization group equations numerically. It is found that certain nonuniversal values of gaugino-mass parameters at the so-called grand unification theory (GUT) scale $\sim 10^{16}$ GeV are important ingredients for the MSSM to predict, without a severe fine-tuning, the Higgs boson mass $\sim 125$ GeV indicated by recent observations at the Large Hadron Collider. We also show a typical superparticle spectrum in this parameter region.