Gravitino Dark Matter in Split Supersymmetry with Bilinear R-Parity Violation

TL;DR

This paper demonstrates that gravitino dark matter in split supersymmetry with bilinear R-parity violation aligns with experimental relic density and lifetime constraints, considering Higgs mass, neutrino physics, and BBN bounds.

Contribution

It provides a comprehensive numerical and algebraic analysis of the parameter space, incorporating recent experimental constraints and neutrino physics, to validate gravitino as a viable dark matter candidate in this model.

Findings

Gravitino relic density matches observed values under certain parameters.

Gravitino lifetime is consistent with experimental bounds.

Neutralino decay rates align with Big Bang Nucleosynthesis constraints.

Abstract

In Split-SUSY with BRpV we show that the Gravitino DM solution is consistent with experimental evidence on its relic density and life time. We arrive at this conclusion by performing a complete numerical and algebraic study of the parameter space, including constraints from the recently determined Higgs mass, updated neutrino physics, and BBN constraints on NLSP decays. The Higgs mass requires a relatively low Split-SUSY mass scale, which is naturally smaller than usual values for reheating temperature, allowing the use of the standard expression for the relic density. We include restrictions from neutrino physics with three generations, and notice that the gravitino decay width depends on the atmospheric neutrino mass scale. We calculate the neutralino decay rate and find it consistent with BBN. We mention some implications on indirect DM searches.