论文标题
宇宙学和粒子物理学中T通道奇点的热正规化：一般情况
Thermal regularization of t-channel singularities in cosmology and particle physics: the general case
论文作者
论文摘要
本文提出了一种方法，可以使$ t $ channel的奇异性（在一个〜给定的过程中的大规模，稳定的$ t $ - 通道中介器中出现时出现，在任何旋转的粒子中都可以进行壳（0，〜\ nicefrac12，〜1）在某种旋转的粒子中进行跨部分，从而使横截面无限。这些相互作用导致调解人的有限寿命，并允许引入有效的动量和温度依赖性宽度。结果，潜在的横截面变为有限。提供了一个完整的推导和宽度的分析结果。为了进行说明，该方法用于计算〜Vector-Fermion暗物质模型中的热宽度和横截面。
This paper presents a~way to regularize the $t$-channel singularity (which appears when a~massive, stable $t$-channel mediator of a~given process is allowed to be on-shell, making the cross section infinite) in a~general case of particles of any spin (0,~\nicefrac12,~1) interacting within a~thermal medium. Those interactions result in a~finite lifetime of the mediator and allow to introduce an~effective momentum- and temperature-dependent width. As a result, the would-be-singular cross section becomes finite. A~complete derivation and an analytical result for the width are provided. For an illustration, the method is used to calculate the thermal widths and cross sections within the~Vector-Fermion Dark Matter model.
