$CPT$ and unitarity constraints for higher-order $CP$ asymmetries at finite temperature
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913220061560832 |
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| author | Blažek, Tomáš Maták, Peter Zaujec, Viktor |
| author_facet | Blažek, Tomáš Maták, Peter Zaujec, Viktor |
| contents | We use an unconventional diagrammatic approach to formulate $CPT$ and unitarity constraints for higher-order $CP$ asymmetries entering the source term in the Boltzmann equation. Usually, the reaction rate asymmetries in these constraints are computed within the classical kinetic theory, using zero-temperature quantum field theory to describe particles' interactions. We approximate the rates, otherwise obtained within the closed-time-path formalism, in terms of diagrams drawn on a cylindrical surface and their holomorphic cuts. The resulting equilibrium asymmetry constraints incorporate thermal-mass effects and allow tracking the cancellations of reaction rate asymmetries computed with quantum statistics. We use the top Yukawa corrections to the asymmetries in the seesaw type-I leptogenesis as an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11442 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $CPT$ and unitarity constraints for higher-order $CP$ asymmetries at finite temperature Blažek, Tomáš Maták, Peter Zaujec, Viktor High Energy Physics - Phenomenology We use an unconventional diagrammatic approach to formulate $CPT$ and unitarity constraints for higher-order $CP$ asymmetries entering the source term in the Boltzmann equation. Usually, the reaction rate asymmetries in these constraints are computed within the classical kinetic theory, using zero-temperature quantum field theory to describe particles' interactions. We approximate the rates, otherwise obtained within the closed-time-path formalism, in terms of diagrams drawn on a cylindrical surface and their holomorphic cuts. The resulting equilibrium asymmetry constraints incorporate thermal-mass effects and allow tracking the cancellations of reaction rate asymmetries computed with quantum statistics. We use the top Yukawa corrections to the asymmetries in the seesaw type-I leptogenesis as an example. |
| title | $CPT$ and unitarity constraints for higher-order $CP$ asymmetries at finite temperature |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2302.11442 |