Bootstrapping Elliptic Feynman Integrals Using Schubert Analysis

doi:10.1103/PhysRevLett.131.041601

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	Bootstrapping Elliptic Feynman Integrals Using Schubert Analysis
	Morales, Roger ; Spiering, Anne ; Wilhelm, Matthias ; Yang, Qinglin 1; Zhang, Chi
刊名	PHYSICAL REVIEW LETTERS
	2023
卷号	131 期号:4 页码:41601
关键词	POLYLOGARITHMS
ISSN号	0031-9007
DOI	10.1103/PhysRevLett.131.041601
英文摘要	The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic Feynman integrals and scattering amplitudes. In this Letter, we initiate the symbol bootstrap for elliptic Feynman integrals. Concretely, we bootstrap the symbol of the twelve-point two-loop double-box integral in four dimensions, which depends on nine dual-conformal cross ratios. We obtain the symbol alphabet, which contains 100 logarithms as well as nine simple elliptic integrals, via a Schubert-type analysis, which we equally generalize to the elliptic case. In particular, we find a compact, one-line formula for the (2,2) coproduct of the result.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27933]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Univ Copenhagen, Niels Bohr Int Acad, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Morales, Roger,Spiering, Anne,Wilhelm, Matthias,et al. Bootstrapping Elliptic Feynman Integrals Using Schubert Analysis[J]. PHYSICAL REVIEW LETTERS,2023,131(4):41601.
APA	Morales, Roger,Spiering, Anne,Wilhelm, Matthias,Yang, Qinglin,&Zhang, Chi.(2023).Bootstrapping Elliptic Feynman Integrals Using Schubert Analysis.PHYSICAL REVIEW LETTERS,131(4),41601.
MLA	Morales, Roger,et al."Bootstrapping Elliptic Feynman Integrals Using Schubert Analysis".PHYSICAL REVIEW LETTERS 131.4(2023):41601.