论文标题
通过辅助质量流量的Feynman积分自动计算含有线性传播器
Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
论文作者
论文摘要
我们提出了一个配方,以系统地计算使用辅助质量流量方法的Feynman积分。配方的关键是为每个线性传播器引入一个二次术语,然后使用微分方程来摆脱其效果。作为应用程序,我们计算了包含四个循环的量规链路的真空积分的所有主积分,并通过非平凡维度复发关系检查了结果。
We proposed a recipe to systematically calculate Feynman integrals containing linear propagators using the auxiliary mass flow method. The key of the recipe is to introduce a quadratic term for each linear propagator and then using differential equations to get rid of their effects. As an application, we calculated all master integrals of vacuum integrals containing a gauge link up to four loops, and we checked the results by nontrivial dimensional recurrence relations.