Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow

作     者：Xiao Liu Yan-Qing Ma Wei Tao Peng Zhang 刘霄;马滟青;陶伟;张鹏

作者机构：School of Physics and State Key Laboratory of Nuclear Physics and TechnologyPeking UniversityBeijing 100871China Center for High Energy PhysicsPeking UniversityBeijing 100871China Collaborative Innovation Center of Quantum MatterBeijing 100871China 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2021年第45卷第1期

页      面：162-174页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported in part by the National Natural Science Foundation of China(11875071,11975029) the High-performance Computing Platform of Peking University 

主　　题：phase-space integration perturbation theory multi-loop 

摘      要：We extend the auxiliary-mass-flow(AMF) method originally developed for Feynman loop integration to calculate integrals which also involve phase-space *** flow of the auxiliary mass from the boundary(∞) to the physical point(0+) is obtained by numerically solving differential equations with respective to the auxiliary *** problems with two or more kinematical invariants,the AMF method can be combined with the traditional differential-equation method,providing systematic boundary conditions and a highly nontrivial self-consistency *** method is described in detail using a pedagogical example of e+e-→γ*→tt+X at *** show that the AMF method can systematically and efficiently calculate integrals to high precision.