Yukawa coupling unification in SO(10) with positive \mu\ and a heavier gluino

Understand

The t-b-tau unification with positive Higgs mass parameter \mu\ in the minimal supersymmetric standard model prefers &#34;just so&#34; Higgs splitting and a light gluino < 500 GeV which appears to be ruled out by the recent LHC searches.

• We reanalyze constraints on soft supersymmetry breaking parameters in this scenario allowing independent splittings among squarks and Higgs doublets at the grand unification scale and show that it is possible to obtain t-b-tau unification and satisfy experimental constraints on gluino mass without raising supersymmetry breaking scale to very high value ~ 20 TeV.
• We discuss the origin of independent squark and Higgs splittings in realistic SO(10) models.
• Just so Higgs splitting can be induced without significantly affecting the t-b-tau unification in SO(10) models containing Higgs fields transforming as 10+\bar{126}+126+210.