$(g-2)_\mu$ and Stau coannihilation : Dark Matter and Collider Analysis

TL;DR

This paper investigates a non-universal slepton mass scenario in the MSSM, focusing on stau coannihilation, to explain dark matter relic density and the muon g-2 anomaly, analyzing experimental constraints and future collider prospects.

Contribution

It introduces a non-universal slepton mass scenario with stau coannihilation, expanding the parameter space and exploring experimental and collider implications.

Findings

Upper LSP and NLSP mass limit of ~550 GeV.

Smoun/selectron mass limit increases by ~200 GeV compared to universal scenarios.

Potential for future collider experiments to probe this scenario.

Abstract

Slepton coannihilation is one of the most promising scenarios that can bring the predicted Dark Matter (DM) abundance in the the Minimal Supersymmetric Standard Model (MSSM) into agreement with the experimental observation. In this scenario, the lightest supersymmetric particle (LSP), usually assumed to be the lightest neutralino, can serve as a Dark Matter (DM) candidate while the sleptons as the next-to-LSPs (NLSPs) lie close in mass. In our previous studies analyzing the electroweak (EW) sector of MSSM, a degeneracy between the three generations of sleptons was assumed for the sake of simplicity. In case of slepton coannihilation this directly links the smuons involved in the explanation for $(g-2)_\mu$ to the coannihilating NLSPs required to explain the DM content of the universe. On the other hand, in well-motivated top-down models such degeneracy does not hold, and often the lighter stau turns out to be the NLSP at the EW scale, with the smuons (and selectrons) somewhat heavier. In this paper we analyze a non-universal slepton mass scenario at the EW scale where the first two generations of sleptons are taken to be mass-degenerate and heavier than the staus, enforcing stau coannihilation. We analyze the parameter space of the MSSM in the light of a variety of experimental data namely, the DM relic density and direct detection (DD) limits, LHC data and especially, the discrepancy between the experimental result for $(g-2)_\mu$, and its Standard Model (SM) prediction. We find an upper limit on the LSP and NLSP masses of about ~ 550 GeV. In contrast to the scenario with full degeneracy among the three families of sleptons, the upper limit on the light smuon/selectron mass moves up by ~ 200 GeV. We analyze the DD prospects as well as the physics potential of the HL-LHC and a future high-energy $e^+ e^-$ collider to investigate this scenario further.