| 研究実績の概要 |
The research purpose, as summarized in the proposal document "Refined relic abundance calculations for thermal and non-thermal Dark Matter" (March, 2021), was to explore theoretical uncertainties in the Dark Matter relic abundance prediction. In summary, the main research targets for the proposed topic about heavy WIMP production have been achieved in FY2021.
In particular, the research about Dark Matter bound state formation inside the early Universe plasma has been fruitful. The proposed (zero and finite temperature) next-to-leading order (NLO) computation of a non-abelian electric field correlator is completed and the results are published in a journal. Gauge invariance, collinear and infrared finiteness were proven. The main result in form of one-integral expressions can be used to study thermal corrections to singlet-adjoint pair transitions.
In a separate work, currently submitted to a journal, we studied an effective treatment of the coupled Boltzmann equations for an arbitrary number of bound states (and transitions). The result can straightforwardly be implemented into public relic density solvers such as DRAKE. As a part of the results, limiting expressions are also provided to bracket the impact of bound state transitions on the relic abundance without the need of computing any of those.
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