Asymmetric Dark Matter in SUSY with approximate $R-$symmetry

TL;DR

This paper explores a supersymmetric model with approximate $R$-symmetry that links ordinary and dark matter, predicting a gravitino dark matter candidate of about 10 GeV and constraining the spectrum based on decay requirements before Big Bang Nucleosynthesis.

Contribution

It introduces a novel SUSY framework with approximate $R$-symmetry that naturally incorporates asymmetric dark matter and predicts specific gravitino mass and spectrum constraints.

Findings

Gravitino mass predicted to be around 10 GeV.

Viable spectrum requires NLSP decay before BBN, above 2 TeV.

Model links dark matter abundance to supersymmetric parameters.

Abstract

We implement the asymmetric dark matter framework, linking the ordinary and dark matter abundances, within a supersymmetric context. We consider a supersymmetric model that respects an approximate $U(1)_R$ symmetry, which is broken in such a way that at high temperature the $R$ breaking sector mediate processes in equilibrium, but at the SUSY mass scale, the sparticles asymmetry is frozen. In this framework, the gravitino serves as the dark matter candidate, and its mass is predicted to be $\sim10$ GeV to match the observed relic abundance. We identify several realistic spectra; however, the requirement for the Next-to-Lightest Supersymmetric Particle (NLSP) to decay into the gravitino before Big Bang Nucleosynthesis constrains the viable spectrum to masses above 2 TeV.