NONUNIVERSAL GAUGINO MASSES AND NATURAL SUPERSYMMETRY

Abstract

We demonstrate that natural supersymmetry is readily realized in the framework of SU(4) c ×SU(2) L ×SU(2) R with nonuniversal gaugino masses. Focusing on ameliorating the little hierarchy problem, we explore the parameter space of this model which yields small fine-tuning measuring parameters (natural supersymmetry) at the electroweak scale (Δ EW ) as well as at high scale (Δ HS ). It is possible to have both Δ EW and Δ HS less than 100 in these models, (2% or better fine-tuning), while keeping the light CP-even (Standard Model-like) Higgs mass in the 123–127 GeV range. The light stop quark mass lies in the range [Formula: see text], and the range for the light stau lepton mass is [Formula: see text]. The first two family squarks are in the mass range [Formula: see text], and for the gluino we find [Formula: see text]. We do not find any solution with natural supersymmetry which yields significant enhancement for Higgs production and decay in the diphoton channel.