Prospects for Yukawa unified SO(10) SUSY GUTs at the CERN LHC

Abstract

The requirement of t − b − τ Yukawa coupling unification is common in simple grand unified models based on the gauge group SO(10), and it also places a severe con- straint on the expected spectrum of superpartners. For Yukawa-unified models with � > 0, the spectrum is characterized by three mass scales: i). first and second generation scalars in the multi-TeV range, ii). third generation scalars, � and mA in the few-TeV range and iii). gluinos in the ∼ 350 − 500GeV range with chargino masses around 100 − 160GeV. In such a scenario, gluino pair production should occur at large rates at the CERN LHC, followed by gluino three-body decays into neutralinos or charginos. Discovery of Yukawa- unified SUSY at the LHC should hence be possible with only 1fb −1 of integrated luminosity, by tagging multi-jet events with 2-3 isolated leptons, without relying on missing ET. A characteristic dilepton mass edge should easily be apparent above Standard Model back- ground. Combining dileptons with b-jets, along with the gluino pair production cross sec- tion information, should allow for gluino and neutralino mass reconstruction. A secondary corroborative signal should be visible at higher integrated luminosity in the ˜ χ ± ˜ χ 0 → 3l channel, and should exhibit the same dilepton mass edge as in the gluino cascade decay signal.