Neutrino constraints on inelastic dark matter after CDMS II results

We discuss the neutrino constraints from solar and terrestrial dark matter (DM) annihilations in the inelastic dark matter (iDM) scenario after the recent CDMS II results. To reconcile the DAMA/LIBRA data with constraints from all other direct experiments, the iDM needs to be light (m_χ<100GeV) and have a large DM-nucleon cross section (σ_n∼10^-4pb in the spin-independent (SI) scattering and σ_n∼10pb in the spin-dependent (SD) scattering). The dominant contribution to the iDM capture in the Sun is from scattering off Fe/Al in the SI/SD case. Current bounds from Super-Kamiokande exclude the hard DM annihilation channels, such as W⁺W^-, ZZ, tt¯, and τ⁺τ^-. For soft channels such as bb¯ and cc¯, the limits are loose, but could be tested or further constrained by future IceCube plus DeepCore. For neutrino constraints from the DM annihilation in the Earth, due to the weaker gravitational effect of the Earth and inelastic capture condition, the constraint exists only for small mass splitting δ<40keV and m_χ∼(10,50)GeV even in the τ⁺τ^- channel.