Dark matter in the solar system I: The distribution function of WIMPs at the Earth from solar capture

Abstract

The next generation of dark matter (DM) direct detection experiments and neutrino telescopes will probe large swaths of dark matter parameter space. In order to interpret the signals in these experiments, it is necessary to have good models of both the halo DM streaming through the solar system and the population of DM bound to the solar system. In this paper, the first in a series of three on DM in the solar system, we present simulations of orbits of DM bound to the solar system by solar capture in a toy solar system consisting of only the Sun and Jupiter, assuming that DM consists of a single species of weakly interacting massive particle (WIMP). We describe how the size of the bound WIMP population depends on the WIMP mass, spin-independent cross section, and spin-dependent cross section. Using a standard description of the Galactic DM halo, we find that the maximum enhancement to the direct detection event rate, consistent with current experimental constraints on the WIMP-nucleon cross section, is < 1% relative to the event rate from halo WIMPs, while the event rate from neutrinos from WIMP annihilation in the center of the Earth is unlikely to meet the threshold of next-generation, km^3-sized (IceCube, KM3NeT) neutrino telescopes.

arXiv comment43 pages, 21 figures, to be submitted

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• Constraints on Dark Matter in the Solar System
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• The Dark Disk of the Milky Way
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• Exoplanets as Sub-GeV Dark Matter Detectors
• Effect of Gravitational Focusing on Annual Modulation in Dark-Matter Direct-Detection Experiments
• PPPC 4 DM$\nu$: A Poor Particle Physicist Cookbook for Neutrinos from DM annihilations in the Sun
• Multiple Tidal Disruptions as an Indicator of Binary Super-Massive Black Hole Systems
• Reconstructing WIMP Properties in Direct Detection Experiments Including Galactic Dark Matter Distribution Uncertainties
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• A Bayesian view of the current status of dark matter direct searches
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• Direct and indirect detection of dissipative dark matter
• Searching for Earth/Solar Axion Halos
• Direct Detection of Dynamical Dark Matter
• A tale of dark matter capture, sub-dominant WIMPs, and neutrino observatories
• WIMP diffusion in the solar system including solar WIMP-nucleon scattering
• Enhancement of dark matter capture by neutron stars in binary systems
• Dark Photons in the Solar Basin
• Capture of dark matter by the Solar System
• Accurate calculations of the WIMP halo around the Sun and prospects for its gamma-ray detection
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• Orbital Dynamics of the Solar Basin
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