中国科学:物理学 力学 天文学(英文版)2024，Vol.67Issue(2) ：93-104.DOI:10.1007/s11433-023-2239-8

Intersection theory rules symbology

Jiaqi Chen Bo Feng Lilin Yang
中国科学:物理学 力学 天文学(英文版)2024，Vol.67Issue(2) ：93-104.DOI:10.1007/s11433-023-2239-8
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Intersection theory rules symbology

Jiaqi Chen 1Bo Feng 2Lilin Yang3
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作者信息

  • 1. Beijing Computational Science Research Center,Beijing 100084,China
  • 2. Zhejiang Institute of Modern Physics,School of Physics,Zhejiang University,Hangzhou 310027,China;Beijing Computational Science Research Center,Beijing 100084,China;Peng Huanwu Center for Fundamental Theory,Hefei 230026,China
  • 3. Zhejiang Institute of Modern Physics,School of Physics,Zhejiang University,Hangzhou 310027,China
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Abstract

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.

Key words

scattering amplitude/Feynman integral/symbology

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基金项目

National Natural Science Foundation of China(11935013)

National Natural Science Foundation of China(11947301)

National Natural Science Foundation of China(12047502)

National Natural Science Foundation of China(12247120)

National Natural Science Foundation of China(12247103)

National Natural Science Foundation of China(11975030)

National Natural Science Foundation of China(12147103)

National Natural Science Foundation of China(U2230402)

China Postdoctoral Science Foundation(2022M720386)

Fundamental Research Funds for the Central Universities()

出版年

2024
中国科学:物理学 力学 天文学(英文版)
中国科学院

中国科学:物理学 力学 天文学(英文版)

CSTPCD
影响因子：0.91
ISSN：1674-7348
参考文献量80
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