Abstract
In Split-SUSY with BRpV we show that the Gravitino DM solution is consistent with experimental evidence as regards 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 we 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.
Highlights
Having this in mind, in this work we consider a nowadays empirically attractive flavor of SUSY, which is denominated Split Supersymmetry (Split-SUSY) [17,18]
In Split-SUSY with bilinear R-Parity violating (BRpV) we show that the Gravitino DM solution is consistent with experimental evidence as regards 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 Big Bang Nucleosynthesis (BBN) constraints on NLSP decays
Summary
In this work we consider a nowadays empirically attractive flavor of SUSY, which is denominated Split Supersymmetry (Split-SUSY) [17,18]. As long as m is small enough in comparison to the reheating temperature TR, the standard expressions for the thermal gravitino relic density are still valid in our scenario This is due to the fact that Split-SUSY is equivalent to the MSSM at energy scales greater than m. We use the standard expressions for the gravitino relic density, but we consider the Split-SUSY RGEs [18] for the parameters involved, in order to verify that this model reproduces the current values for the dark matter density [41]. 2 we summarize the low-energy Split-SUSY with BRpV setup together with the main features concerning the computation of the Higgs mass, neutrino observables, and the neutralino decay.
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