Analytic techniques for solving the transport equations in electroweak baryogenesis

Elina Fuchs, Marta Losada, Yosef Nir, Yehonatan Viernik

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number60
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 2021


  • Beyond Standard Model
  • CP violation
  • Cosmology of Theories beyond the SM

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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