  We study a supersymmetric neutrinophilic Higgs model with large neutrino
Yukawa couplings where neutrinos are Dirac particles and the lightest
right-handed (RH) sneutrino is the lightest supersymmetric particle (LSP) as a
dark matter candidate. Neutrinophilic Higgs bosons need to be rather heavy by
the precise determination of the muon decay width and dark radiation
constraints for large Yukawa couplings. From the Large Hadron Collider
constraints, neutrinophilic Higgsino mass need to be heavier than several
hundred GeV or close to the RH sneutrino LSP mass. The latter case is
interesting because the muon anomalous magnetic dipole moment can be explained
with a relatively large lightest neutrino mass, if RH sneutrino mixings are
appropriately fine tuned in order to avoid stringent lepton flavor violation
constraints. Dark matter is explained by asymmetric RH sneutrino dark matter in
the favoured region by the muon anomalous magnetic dipole moment. In other
regions, RH sneutrino could be an usual WIMP dark matter.
