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

TL;DR

This paper demonstrates that in SO(10) models with positive nd a heavier gluino, it is possible to achieve t-b-u unification and satisfy experimental constraints through independent squark and Higgs splittings, avoiding very high supersymmetry breaking scales.

Contribution

It introduces a mechanism for independent squark and Higgs splittings in SO(10) models, enabling t-b-u unification with a heavier gluino without requiring extremely high supersymmetry breaking scales.

Findings

Independent splittings allow heavier gluinos consistent with unification.

Non-universal boundary conditions induce Higgs splitting without disrupting unification.

Mixing with additional matter fields generates necessary squark splittings.

Abstract

The t-b-tau unification with positive Higgs mass parameter \mu\ in the minimal supersymmetric standard model prefers "just so" 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. This splitting arises in the presence of non-universal boundary conditions from mixing between 10 and other Higgs fields. Similarly, if additional matter fields are introduced then their mixing with the matter multiplet 16 is shown to generate the squark splitting required to raise the gluino mass within the t-b-tau unified models with positive \mu.