Kinetic decoupling of WIMPs: analytic expressions
Luca Visinelli, Paolo Gondolo

TL;DR
This paper derives a general analytic expression for the kinetic decoupling temperature and energy of WIMPs applicable to any cosmological model, with specific examples for kination and low-temperature reheating scenarios.
Contribution
It provides a universal formula for WIMP kinetic decoupling parameters, extending previous models to arbitrary cosmologies.
Findings
Derived a general expression for WIMP kinetic decoupling temperature.
Applied the formula to specific cosmologies like kination and reheating.
Demonstrated the formula's utility with example calculations.
Abstract
We present a general expression for the values of the average kinetic energy and of the temperature of kinetic decoupling of a WIMP, valid for any cosmological model. We show an example of the usage of our solution when the Hubble rate has a power-law dependence on temperature, and we show results for the specific cases of kination cosmology and low- temperature reheating cosmology.
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