Yukawa Unification Predictions with Effective “Mirage” Mediation

Abstract

In this Letter we analyze the consequences, for the LHC, of gauge and third family Yukawa coupling unification with a particular set of boundary conditions defined at the grand unified theory (GUT) scale, which we characterize as effective ``mirage'' mediation. We perform a global ${\ensuremath{\chi}}^{2}$ analysis including the observables ${M}_{W}$, ${M}_{Z}$, ${G}_{F}$, ${\ensuremath{\alpha}}_{em}^{\ensuremath{-}1}$, ${\ensuremath{\alpha}}_{s}({M}_{Z})$, ${M}_{t}$, ${m}_{b}({m}_{b})$, ${M}_{\ensuremath{\tau}}$, $\mathrm{BR}(B\ensuremath{\rightarrow}{X}_{s}\ensuremath{\gamma})$, $\mathrm{BR}({B}_{s}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}})$, and ${M}_{h}$. The fit is performed in the minimal supersymmetric standard model in terms of 10 GUT scale parameters, while $\mathrm{tan}\ensuremath{\beta}$ and $\ensuremath{\mu}$ are fixed at the weak scale. We find good fits to the low energy data and a supersymmetry spectrum which is dramatically different than previously studied in the context of Yukawa unification.