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Towards closing the window on strongly interacting dark matter: Far-reaching constraints from Earth’s heat flow

Gregory D. Mack1,2,*, John F. Beacom1,2,3,†, and Gianfranco Bertone4,‡

  • 1Department of Physics, Ohio State University, Columbus, Ohio 43210, USA
  • 2Center for Cosmology and Astro-Particle Physics, Ohio State University, Columbus, Ohio 43210, USA
  • 3Department of Astronomy, Ohio State University, Columbus, Ohio 43210, USA
  • 4Institut d’Astrophysique de Paris, UMR 7095-CNRS, Université Pierre et Marie Curie, 98bis boulevard Arago, 75014 Paris, France

  • *gdmack@mps.ohio-state.edu
  • beacom@mps.ohio-state.edu
  • bertone@iap.fr

Phys. Rev. D 76, 043523 – Published 28 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.043523

Abstract

We point out a new and largely model-independent constraint on the dark matter scattering cross section with nucleons, which applies when this quantity is larger than for typical weakly interacting dark matter candidates. When the dark matter capture rate in Earth is efficient, the rate of energy deposition by dark matter self-annihilation products would grossly exceed the measured heat flow of Earth. This improves the spin-independent cross section constraints by many orders of magnitude and closes the window between astrophysical constraints (at very large cross sections) and underground detector constraints (at small cross sections). In the applicable mass range, from 1 to 1010GeV, the scattering cross section of dark matter with nucleons is then bounded from above by the latter constraints and hence must be truly weak, as usually assumed.

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