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We point out a new and largely model-independent constraint on the darkmatter scattering cross section with nucleons, applying when this quantity islarger than for typical weakly interacting dark matter candidates. When thedark matter capture rate in Earth is efficient, the rate of energy depositionby dark matter self-annihilation products would grossly exceed the measuredheat flow of Earth. This improves the spin-independent cross sectionconstraints by many orders of magnitude, and closes the window betweenastrophysical constraints (at very large cross sections) and undergrounddetector constraints (at small cross sections). In the applicable mass range,from about 1 to about 10^{10} GeV, the scattering cross section of dark matterwith nucleons is then bounded from above by the latter constraints, and hencemust be truly weak, as usually assumed.

Towards Closing the Window on Strongly Interacting Dark Matter: Far-Reaching Constraints from Earth's Heat Flow