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arXiv · 2102.05914

CP Asymmetries and Higher-Order Unitarity Relations

Tomáš Blažek·Peter Maták
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Abstract

The main focus of this paper is to introduce a new method to control perturbative calculations of CP asymmetric reaction rates in the Boltzmann equation. CP asymmetries in particle reactions are traditionally calculated in terms of complex couplings, Feynman integrals, and Cutkosky rules. We use an expansion of the $S$-matrix unitarity condition instead, obtaining a general expression for the asymmetries without reference to the imaginary part of the loops. Asymmetry cancelations implied by CPT and unitarity are manifested in a diagrammatic way and easy to track at any order of perturbation theory. We demonstrate the power of this general framework within the right-handed neutrino and top-quark scattering asymmetries in seesaw type-I leptogenesis.

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Tomáš Blažek, Peter Maták. 2021-02-11. CP Asymmetries and Higher-Order Unitarity Relations. https://doi.org/10.1103/physrevd.103.l091302

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