Split-SUSY Under GUT and Dark Matter Constraints

We calculate the two-loop beta functions for three gauge couplings in split supersymmetry (split-SUSY) which assumes a very high scalar mass scale $M_S$. We find that in split-SUSY with a large $M_S$ the gauge coupling unification requires a lower bound on gaugino mass. Combined with the constraints from the dark matter relic density and direct detection limits, we find that split-SUSY is very restricted and the allowed parameter can be fully covered by XENON-1T(2017). So the split-SUSY scenario with dark matter and gauge coupling unification requirements will be either discovered or excluded at XENON-1T(2017).

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Date added: Thu, 10 Oct 13