Abstract
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 language | English |
|---|---|
| Article number | 60 |
| Number of pages | 32 |
| Journal | The journal of high energy physics |
| Volume | 2021 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 12 Jul 2021 |
Funding
We are grateful to Jorinde van de Vis for very helpful discussions. We also thank Joachim Kopp, Yotam Soreq, Moritz Breitbach, Lukas Mittnacht and Ke-Pan Xie for careful checks regarding the definition of the Yukawa rate for leptons. EF was supported by the Minerva Foundation. ML would like to deeply thank the Weizmann Institute of Science for its hospitality during the completion of this work. YN is the Amos de-Shalit chair of theoretical physics, and is supported by grants from the Israel Science Foundation (grant number 394/16), the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel (grant number 2014230), and the Yeda-Sela (YeS) Center for Basic Research.