New Limits on Thermally annihilating Dark Matter from Neutrino
  Telescopes
  We used a consistent and robust solar model to obtain upper limits placed by
neutrino telescopes, such as Ice- Cube and Super-Kamiokande, on the Dark
Matter-nucleon scattering cross-section, for a general model of Dark Matter
with a velocity dependent (p-wave) thermally averaged cross-section. In this
picture, the Boltzmann equation for the Dark Matter abundance is numerically
solved satisfying the Dark Matter density measured from the Cosmic Microwave
Background (CMB). We show that for lower cross-sections and higher masses, the
Dark Matter annihilation rate drops sharply, resulting in upper bounds on the
scattering cross-section one order of magnitude above those derived from a
velocity independent (s-wave) annihilation cross-section. Our results show that
upper limits on the scattering cross-section obtained from Dark Matter
annihilating in the Sun are sensible to the uncertainty in current standard
solar models, fluctuating a maximum of 20 % depending on the annihilation
channel.
