The new $(g-2)_\mu$ and Right-Handed Sneutrino Dark Matter

TL;DR

This paper explores how the right-handed sneutrino as a dark matter candidate within an extended supersymmetric model can address the muon g-2 discrepancy while satisfying current experimental constraints and offering testable predictions.

Contribution

It demonstrates the viability of right-handed sneutrino dark matter in explaining muon g-2 and outlines the parameter space compatible with experimental data, including future detection prospects.

Findings

Dark matter masses from 10 to 600 GeV are compatible with constraints.

Solutions include heavy sleptons with masses above 600 GeV.

Direct detection experiments can probe sneutrino masses below 300 GeV.

Abstract

In this paper we investigate the $(g-2)_\mu$ discrepancy in the context of the R-parity conserving next-to-minimal supersymmetric Standard Model plus right-handed neutrinos superfields. The model has the ability to reproduce neutrino physics data and includes the interesting possibility to have the right-handed sneutrino as the lightest supersymmetric particle and a viable dark matter candidate. Since right-handed sneutrinos are singlets, no new contributions for $\delta a_{\mu}$ with respect to the MSSM and NMSSM are present. However, the possibility to have the right-handed sneutrino as the lightest supersymmetric particle opens new ways to escape Large Hadron Collider and direct detection constraints. In particular, we find that dark matter masses within $10 \lesssim m_{\tilde{\nu}_{R}} \lesssim 600$ GeV are fully compatible with current experimental constraints. Remarkably, not only spectra with light sleptons are needed, but we obtain solutions with $m_{\tilde{\mu}} \gtrsim 600$ GeV in the entire dark matter mass range that could be probed by new $(g-2)_\mu$ data in the near future. In addition, dark matter direct detection experiments will be able to explore a sizable portion of the allowed parameter space with $m_{\tilde{\nu}_{R}} \lesssim 300$ GeV, while indirect detection experiments will be able to probe a much smaller fraction within $200 \lesssim m_{\tilde{\nu}_{R}} \lesssim 350$ GeV.