论文标题
五角大楼的散射五个无质量颗粒的功能
Pentagon Functions for Scattering of Five Massless Particles
论文作者
论文摘要
我们完成了计算无质量五粒子散射幅度所需的完整两环Feynman积分的分析计算。我们采用规范微分方程的方法来构建最小的先验函数，五角大楼函数，这足以在整个物理相空间中表达所有平面和非平面五点五点双杆FEYNMAN积分。我们发现五角大楼功能的分析表达式显然没有非物理分支切割。我们提出了一个公共图书馆，用于五角大楼功能的数值评估，适合直接现象学应用。
We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of transcendental functions, pentagon functions, which is sufficient to express all planar and nonplanar massless five-point two-loop Feynman integrals in the whole physical phase space. We find analytic expressions for pentagon functions which are manifestly free of unphysical branch cuts. We present a public library for numerical evaluation of pentagon functions suitable for immediate phenomenological applications.
