Analytic techniques for solving the transport equations in electroweak baryogenesis

A bstract We develop an efficient method for solving transport equations, particularly in the context of electroweak baryogenesis. It provides fully-analytical results under mild approximations and can also test semi-analytical results, which are applicable in more general cases. Key elements of our...

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Bibliographic Details
Published in:The journal of high energy physics 2021-07, Vol.2021 (7), p.1-32, Article 60
Main Authors: Fuchs, Elina, Losada, Marta, Nir, Yosef, Viernik, Yehonatan
Format: Article
Language:English
Subjects:
Approximation
ASTRONOMY AND ASTROPHYSICS
Asymmetry
Baryons
Beyond Standard Model
Boundary conditions
Classical and Quantum Gravitation
Cosmology
Cosmology of Theories beyond the SM
Couplings
CP violation
Differential equations
Elementary Particles
Field theory
High energy physics
Mathematical models
Parameter estimation
Parameter modification
Parameter sensitivity
Phase transitions
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Transport equations
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Summary:A bstract We develop an efficient method for solving transport equations, particularly in the context of electroweak baryogenesis. It provides fully-analytical results under mild approximations and can also test semi-analytical results, which are applicable in more general cases. Key elements of our method include the reduction of the second-order differential equations to first order, representing the set of coupled equations as a block matrix of the particle densities and their derivatives, identification of zero modes, and block decomposition of the matrix. We apply our method to calculate the baryon asymmetry of the Universe (BAU) in a Standard Model effective field theory framework of complex Yukawa couplings to determine the sensitivity of the resulting BAU to modifications of various model parameters and rates, and to estimate the effect of the commonly-used thin-wall approximation.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2021)060