Testing Yukawa unification at LHC Run-3 and HL-LHC

We explore t-b-tau Yukawa unification (YU) in a supersymmetric SU(4)(c)x SU(2)(L)x SU(2)(R) model without imposing a discrete left-right (L-R) symmetry. A number of interesting solutions that are compatible with t-b-tau YU, LSP neutralino dark matter (DM), and LHC and other experimental constraints are identified. In particular, they include gluino-neutralino and stau-neutralino coannihilation scenarios, where the NLSP gluino mass can range from 1-3 TeV. Higgsino-like dark matter solutions are also identified for which gluino masses can approach 5 TeV or so. This scenario will be tested at LHC Run-3 and its future upgrades.