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Module intersection and uniform formula for iterative reduction of one-loop integrals

delete2023-02-17
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OA
AI
J
Jiaqi Chen *
冯波 (Bo Feng)
DOI:10.1007/JHEP02(2023)178delete
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Abstract

Abstract

En 中文
In this paper, we develop an iterative sector-level reduction strategy for Feynman integrals, which bases on module intersection in the Baikov representation and auxiliary vector for tensor structure. Using this strategy we have studied the reduction of general one-loop integrals, i.e., integrals having arbitrary tensor structures and arbitrary power for propagators. Inspired by these studies, a uniform and compact formula that iteratively reduces all one-loop integrals has been written down, where messy polynomials in integration-by-parts (IBP) relations have organized themselves to Gram determinants.
Keywords:
Automation
Scattering Amplitudes
Electroweak Precision Physics

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

C
Chinese Academy of Engineering Physics
Scholars:
1.1W
Papers: 8.5K
Citations: 12