YUKAWA UNIFICATION IN SUSY SO(10) IN LIGHT OF THE LHC HIGGS DATA

Abstract

The status of top–bottom–tau Yukawa coupling unification in supersymmetric SO(10) models is reviewed with a particular emphasis on the implications of the Higgs boson mass in the vicinity of 125 GeV, as suggested by the Large Hadron Collider (LHC) Higgs data. In addition, the recently proposed model with negative μ, D-term splitting of the soft scalar masses and nonuniversal gaugino masses generated by a nonzero F-term in a 24-dimensional representation of SU(5) ⊂ SO(10) is reanalyzed in the context of the 125 GeV Higgs. The condition of top–bottom–tau Yukawa unification together with the Higgs mass of about 125 GeV impose strong lower mass limits on supersymmetry (SUSY) particles. Nevertheless, some of the Minimal Supersymmetric Standard Model (MSSM) particles may be within the reach of LHC. In the case of models with positive μ this is the gluino. While in the case of negative μ these are the pseudoscalar Higgs, the lighter sbottom (sometimes strongly degenerate with LSP leading to sbottom coannihilations), the right-handed down squark and the gluino.