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

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.

Comments: Version published in Nucl. Phys. B. Discussions expanded, appendix B and references added. 29 pages, 9 figures, 2 tables. Analysis of the viability of RH sneutrino as dark matter carried out in arXiv:2102.08986