论文标题
用于求解电动eletoweak Baryogenogeny中的传输方程的分析技术
Analytic Techniques for Solving the Transport Equations in Electroweak Baryogenesis
论文作者
论文摘要
我们开发了一种有效的方法来求解传输方程，尤其是在电动性男性发生的情况下。它在轻度近似下提供了完全分析结果，还可以测试半分析结果，这些结果适用于更普遍的情况。我们方法的关键元素包括将二阶微分方程还原为一阶，代表耦合方程的集合作为粒子密度及其衍生物的块矩阵，零模式的识别以及矩阵的块分解。我们应用我们的方法来计算标准模型Yukawa耦合的标准模型有效现场理论框架中的宇宙的重子不对称，以确定所得BAU对各种模型参数和速率修改的敏感性，并估算常用的薄壁近似值的效果。
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.
