  Dark matter (DM) scattering and its subsequent capture in the Sun can boost
the local relic density, leading to an enhanced neutrino flux from DM
annihilations that is in principle detectable at neutrino telescopes. We
calculate the event rates expected for a radiative seesaw model containing both
scalar triplet and singlet-doublet fermion DM candidates. In the case of scalar
DM, the absence of a spin dependent scattering on nuclei results in a low
capture rate in the Sun, which is reflected in an event rate of less than one
per year in the current IceCube configuration with 86 strings. For
singlet-doublet fermion DM, there is a spin dependent scattering process next
to the spin independent one, which significantly boosts the event rate and thus
makes indirect detection competitive with respect to the direct detection
limits imposed by PICO-60. Due to a correlation between both scattering
processes, the limits on the spin independent cross section set by XENON1T
exclude also parts of the parameter space that can be probed at IceCube.
Previously obtained limits by ANTARES, IceCube and Super-Kamiokande from the
Sun and the Galactic Center are shown to be much weaker.
