LHC run 3, b-τ Yukawa unification, and dark matter implications in a SUSY 4-2-2 model

We revisit the bottom and τ Yukawa coupling unification in the supersymmetric 4-2-2 model and present for the first time the sbottom-neutralino coannihilation scenario consistent with the bottom and τ Yukawa coupling unification. In addition, we present gluino-neutralino, stop-neutralino, stau-neutralino, chargino-neutralino, and A-resonance scenario and show that all such solutions are consistent with existing experimental collider constraints, Planck 2018 dark matter relic density bounds as well as direct and indirect bounds on neutralino-nucleons scattering cross sections. It is shown that in the sbottom-neutralino coannihilation scenario, the sbottom mass is between 1.2 to 3.5 TeV, whereas in the case of gluino-neutralino, stop-neutralino, the gluino mass can be between 1 to 3 TeV and the stop mass in the range of 1 to 3.5 TeV. Moreover, in the case of a coannihilation scenario, the stau and chargino masses can be as heavy as 3.5 TeV, while the A-resonance solutions are in the range of 0.5 to 3.5 TeV. We anticipate that some part of the parameter space will be accessible in the supersymmetry searches at LHC run 3 and beyond.