Efficient numerical integration of thermal interaction rates
| Autor: | Jackson, G., Laine, M. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | JHEP 09 (2021) 125 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP09(2021)125 |
| Popis: | In many problems in particle cosmology, interaction rates are dominated by ${2}\leftrightarrow{2}$ scatterings, or get a substantial contribution from them, given that ${1}\leftrightarrow{2}$ and ${1}\leftrightarrow{3}$ reactions are phase-space suppressed. We describe an algorithm to represent, regularize, and evaluate a class of thermal ${2}\leftrightarrow{2}$ and ${1}\leftrightarrow{3}$ interaction rates for general momenta, masses, chemical potentials, and helicity projections. A key ingredient is an automated inclusion of virtual corrections to ${1}\leftrightarrow{2}$ scatterings, which eliminate logarithmic and double-logarithmic IR divergences from the real ${2}\leftrightarrow{2}$ and ${1}\leftrightarrow{3}$ processes. We also review thermal and chemical potential induced contributions that require resummation if plasma particles are ultrarelativistic. Comment: 48 pages, programs as ancillary files. v2: clarifications added |
| Databáze: | arXiv |
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