The higgs boson mass in a natural minimal supersymmetric standard model with nonuniversal gaugino masses at the grand unification theory scale

We identify a parameter region where the mass of the lightest CP-even Higgs boson resides at 124.4-126.8 GeV, and at the same time the degree of tuning a Higgsino-mass parameter (the so-called μ-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 ̃ 1016 GeV are important ingredients for the MSSM to predict, without severe fine-tuning, the Higgs boson mass ̃ 125 GeV, indicated by recent observations at the Large Hadron Collider. We also show a typical superparticle spectrum in this parameter region.