Freeze-in produced dark matter in the ultra-relativistic regime

Dec 16, 2020
43 pages
Published in:
  • JCAP 03 (2021) 075
e-Print:

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202120222023202412743
Abstract: (arXiv)
When dark matter particles only feebly interact with plasma constituents in the early universe, they never reach thermal equilibrium. As opposed to the freeze-out mechanism, where the dark matter abundance is determined at TMT \ll M, the energy density of a feebly interacting state builds up and increases over TMT \gtrsim M. In this work, we address the impact of the high-temperature regime on the dark matter production rate, where the dark and Standard Model particles are ultra-relativistic and nearly light-like. In this setting, multiple soft scatterings, as well as 222 \to 2 processes, are found to give a large contribution to the production rate. Within the model we consider in this work, namely a Majorana fermion dark matter of mass MM accompanied by a heavier scalar - with mass splitting ΔM\Delta M - which shares interactions with the visible sector, the energy density can be dramatically underestimated when neglecting the high-temperature dynamics. We find that the overall effective 121 \leftrightarrow 2 and 222 \to2 high-temperature contributions to dark-matter production give O(10)\mathcal{O}(10) (20\%) corrections for ΔM/M=0.1\Delta M /M =0.1 (ΔM/M=10\Delta M /M =10) to the Born production rate with in-vacuum masses and matrix elements. We also assess the impact of bound-state effects on the late-time annihilations of the heavier scalar, in the context of the super-WIMP mechanism.
Note:
  • 43 pages, 14 figures, journal version
  • dark matter: production
  • energy: density
  • dark matter: mass
  • fermion: dark matter
  • bound state: effect
  • fermion: Majorana
  • mass difference
  • annihilation
  • freeze-out
  • scattering