http://arxiv.org/abs/2201.06456
We present a framework for solving a coupled set of momentum-dependent Boltzmann equations for the phase space distribution of cosmic relic particles, without resorting to approximations of assuming kinetic equilibrium or neglecting back scattering or elastic interactions. Our framework is amendable to precision numerical computations. To test it, we consider two benchmark models where the momentum-dependence of dark matter distribution function is potentially important: a real singlet scalar extension near the Higgs resonance, and a sterile neutrino dark matter model with a singlet scalar mediator. The singlet scalar example shows that even near sharp resonances the kinetic equilibrium holds well enough to justify the use of integrated momentum-independent Boltzmann equation in preliminary parameter scans. However, the integrated method may underestimate the relic density by up to 40% in extreme cases. In the sterile neutrino dark matter model we studied how the inclusion of previously ignored elastic interactions and processes with initial state sterile neutrinos could affect the non-thermal nature of their resulting distributions. Here the effects turned out to be negligible, proving the robustness of the earlier predictions.
K. Ala-Mattinen, M. Heikinheimo, K. Kainulainen, et. al.
Wed, 19 Jan 22
7/121
Comments: 14 pages, 11 figures, 1 table
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