The new (g−2)μ and right-handed sneutrino dark matter.

In this paper we investigate the (g − 2) μ 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 δ a μ 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 ≲ m ν ˜ R ≲ 600 GeV are fully compatible with current experimental constraints. Remarkably, not only spectra with light sleptons are needed, but we obtain solutions with m μ ˜ ≳ 600 GeV in the entire dark matter mass range that could be probed by new (g − 2) μ 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 ν ˜ R ≲ 300 GeV, while indirect detection experiments will be able to probe a much smaller fraction within 200 ≲ m ν ˜ R ≲ 350 GeV. [ABSTRACT FROM AUTHOR]