High Energy Neutrinos As A Test of Leptophilic Dark Matter

Recently, observations by PAMELA, the Fermi Gamma Ray Space Telescope, and other cosmic ray experiments have generated a great deal of interest in dark matter (DM) particles which annihilate at a high rate to leptons. In this letter, we explore the possibility of using large volume neutrino telescopes, such as IceCube, to constrain such models; specifically we consider signals due to DM annihilation in the inner Milky Way. We find that, if Dark Matter annihilations are responsible for the signals observed by PAMELA and FGST, then IceCube (in conjunction with the planned low threshold extension, DeepCore) should detect or exclude the corresponding neutrino signal from the inner Milky Way with a few years of observation.