Intersection theory rules symbology  

作　　者：Jiaqi Chen Bo Feng Lilin Yang 

机构地区：[1]Beijing Computational Science Research Center,Beijing 100084,China [2]Zhejiang Institute of Modern Physics,School of Physics,Zhejiang University,Hangzhou 310027,China [3]Peng Huanwu Center for Fundamental Theory,Hefei 230026,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第2期93-104,共12页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11935013,11947301,12047502(Peng Huanwu Center),12247120,12247103,11975030,12147103,and U2230402);the China Postdoctoral Science Foundation(Grant No.2022M720386);the Fundamental Research Funds for the Central Universities。

摘　　要：We propose a novel method to determine the structure of symbols for any family of polylogarithmic Feynman integrals.Using the d log-bases and simple formulas for the leading order and next-to-leading contributions to the intersection numbers,we give a streamlined procedure to compute the entries in the coefficient matrices of canonical differential equations,including the symbol letters and the rational coefficients.We also provide a selection rule to decide whether a given matrix element must be zero.The symbol letters are deeply related to the poles of the integrands and also have interesting connections to the geometry of Newton polytopes.Our method can be applied to many cutting-edge multi-loop calculations.The simplicity of our results also hints at the possible underlying structure in perturbative quantum field theories.

关 键 词：scattering amplitude Feynman integral symbology 

分 类 号：O572[理学—粒子物理与原子核物理]