Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-19
JHEP 1201: 083, 2012
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 4 figures; v2: minor changes to reflect the published version
Scientific paper
10.1007/JHEP01(2012)083
We consider a scalar field (called $\phi$) which is very weakly coupled to thermal bath, and study the evolution of its number density. We use the Boltzmann equation derived from the Kadanoff-Baym equations, assuming that the degrees of freedom in the thermal bath are well described as "quasi-particles." When the widths of quasi-particles are negligible, the evolution of the number density of $\phi$ is well governed by a simple Boltzmann equation, which contains production rates and distribution functions both evaluated with dispersion relations of quasi-particles with thermal masses. We pay particular attention to the case that dark matter is non-thermally produced by the decay of particles in thermal bath, to which the above mentioned formalism is applicable. When the effects of thermal bath are properly included, the relic abundance of dark matter may change by $O(10-100%)$ compared to the result without taking account of thermal effects.
Hamaguchi Koichi
Moroi Takeo
Mukaida Kyohei
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