Higgs and Sparticle Masses from Yukawa Unified SO(10):

We discuss ways to probe t − b − τ Yukawa coupling unification condition at the Energy and Intensity frontiers. We consider non-universal soft supersym-metry breaking mass terms for gauginos related by the SO(10) grand unified theory (GUT). We have previously shown that t − b − τ Yukawa coupling uni-fication prefers a mass of around 125 GeV for the Standard Model-like Higgs boson with all colored sparticle masses above 3 TeV. The well-known MSSM parameter tanβ ≈ 47−48 and neutralino-stau coannihilation yields the desired relic dark matter density. The discovery of a Standard Model (SM)-like Higgs boson with mass ∼ 125 GeV by the ATLAS [1] and the CMS [2] collaborations is compatible with low ( ∼ 1−few TeV) scale supersymmetry. In addition to solving the gauge hierarchy problem and providing a compelling dark matter candidate, supersymmetry also leads to unifica-tion of the three SM gauge couplings at the grand unification scale (MGUT ∼ 1016 GeV). Furthermore t − b − τ Yukawa [3] coupling unification at MGUT arises in super-symmetric SO(10), in contrast to its non-supersymmetric counterpart. In Ref. [4] we considered a supersymmetric SO(10) model with non-universal soft supersymmetry breaking (SSB) gaugino masses at MGUT, arising from a non-singlet F-component of the field which breaks supersymmetry. We discussed, in particular, a gravity mediated supersymmetry breaking scenario [5] with the following relation at MGUT among the masses of the minimal supersymmetric standard model (MSSM)