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

TL;DR

This paper demonstrates that in the non-holomorphic MSSM, third-family Yukawa coupling unification at the GUT scale is achievable with current collider and dark matter constraints, predicting specific superpartner mass ranges and dark matter properties.

Contribution

It shows the possibility of $ t-b- au $ Yukawa unification in the non-holomorphic MSSM, including detailed parameter ranges and dark matter implications, under recent experimental constraints.

Findings

Yukawa unification with $ R_{tb au} \, \approx \, 1 $ is possible.

Squark masses are above 3 TeV, stau can be lighter.

Bino-like dark matter mass range is 0.6-1.3 TeV, compatible with detection limits.

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.