$t-b-\tau$ Yukawa Unification in Non-Holomorphic MSSM

Abstract

We show that in the CMSSM with the non-holomorphic soft SUSY breaking terms, the Yukawa coupling unification of the third family fermions at the GUT scale, called $t-b-\tau$ Yukawa unification (YU), is possible under the recent collider and Dark Matter results. The YU parameter can also be found $R_{tb\tau }\approx 1$, called perfect unification. We find that the squark masses exceed 3 TeV while the stau can be considerably lighter. In the case of YU, the $\tan \beta$ is in the interval $[46,55]$. We obtain bino-like dark matter (DM) of mass in the range of $0.6$ TeV $\lesssim m_{{\chi }_1^0}\lesssim 1.3$ TeV where the recent Dark Matter direct detection limits are also satisfied. We also identify A-resonance solutions which reduce the relic abundance of LSP neutralino down to the ranges compatible with the current Planck measurements.