Terrestrial and Martian Heat Flow Limits on Dark Matter
https://arxiv.org/pdf/1909.11683
September 27, 2019
Abstract
If dark matter is efficiently captured by a planet, energy released in its annihilation can exceed
that planet’s total heat output. Building on prior work, we treat Earth’s composition and dark
matter capture in detail and present improved limits on dark matter-nucleon scattering cross
sections for dark matter masses ranging from 0.1 to 10^10 GeV. We also extend Earth limits by
applying the same treatment to Mars. We find that Earth and Mars heating bounds are alleviated for dark matter s-wave self-annihilation cross sections . 10−37 cm2
Strongly-interacting DM can appreciably raise the temperature of the Earth and Mars through
capture and subsequent annihilation.
DM is a light particle (in this case lighter than a small asteroid).
The most stringent limit on DM’s nucleon interactions is obtained from planetary heating when
the DM annihilation rate equals the DM capture rate. This occurs for DM with a sufficiently large self-annihilation cross section.
We assume Mars’ crust to have a thickness of 50 km.
Many geological studies and models have been performed that estimate the total heat flux from within the Earth, all of which find the total heat flux to be around 44 TW. Some of this flux has been attributed to known processes, such as emission from radiogenic sources like uranium and thorium present in the Earth. However, to be conservative we will attribute all of the observed 44 TW to DM annihilation, when setting bounds on DM parameters. We similarly take a total heat flux of 3.5 TW for Mars, which is the maximum value.