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Weakly Interacting Massive Particles (WIMPs), which are among the bestmotivated dark matter (DM) candidates, could make up all or only a fraction ofthe total DM budget. We consider a scenario in which WIMPs are a sub-dominantDM component; such a scenario would affect both current direct and indirectbounds on the WIMP-nucleon scattering cross section. In this paper we focus onindirect searches for the neutrino flux produced by annihilation ofsub-dominant WIMPs captured by the Sun or the Earth via either spin-dependentor spin-independent scattering. We derive the annihilation rate and theexpected neutrino flux at neutrino observatories. In our computation, weinclude an updated chemical composition of the Earth with respect to theprevious literature, leading to an increase of the Earth's capture rate forspin-dependent scattering by a factor three. Results are compared with currentbounds from Super-Kamiokande and IceCube. We discuss the scaling of bounds fromboth direct and indirect detection methods with the WIMP abundance.

A tale of dark matter capture, sub-dominant WIMPs, and neutrino observatories