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Very light right-handed (RH) sneutrinos in the Next-to-Minimal SupersymmetricStandard Model can be viable candidates for cold dark matter. We investigatethe prospects for their direct detection, addressing their compatibility withthe recent signal observed by the CoGeNT detector, and study the implicationsfor Higgs phenomenology. We find that in order to reproduce the correct relicabundance very light RH sneutrinos can annihilate into either afermion-antifermion pair, very light pseudoscalar Higgses or RH neutrinos. Ifthe main annihilation channel is into fermions, we point out that RH sneutrinoscould naturally account for the CoGeNT signal. Furthermore, the lightest Higgshas a very large invisible decay width, and in some cases the second-lightestHiggs too. On the other hand, if the RH sneutrino annihilates mostly intopseudoscalars or RH neutrinos the predictions for direct detection are belowthe current experimental sensitivities and satisfy the constraints set by CDMSand XENON. We also calculate the gamma ray flux from RH sneutrino annihilationin the Galactic centre, including as an interesting new possibility RHneutrinos in the final state. These are produced through a resonance with theHiggs and the resulting flux can exhibit a significant Breit-Wignerenhancement.

Very light right-handed sneutrino dark matter in the NMSSM