The Wilson-loop d log representation for Feynman integrals

doi:10.1007/JHEP05(2021)052

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	The Wilson-loop d log representation for Feynman integrals
	He, Song 1,2,3; Li, Zhenjie 3; Tang, Yichao 4; Yang, Qinglin 3
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2021
期号	5 页码:52
关键词	YANG-MILLS AMPLITUDES
ISSN号	1029-8479
DOI	10.1007/JHEP05(2021)052
英文摘要	We introduce and study a so-called Wilson-loop d log representation of certain Feynman integrals for scattering amplitudes in N = 4 SYM and beyond, which makes their evaluation completely straightforward. Such a representation was motivated by the dual Wilson loop picture, and it can also be derived by partial Feynman parametrization of loop integrals. We first introduce it for the simplest one-loop examples, the chiral pentagon in four dimensions and the three-mass-easy hexagon in six dimensions, which are represented by two- and three-fold d log integrals that are nicely related to each other. For multi-loop examples, we write the L-loop generalized penta-ladders as 2(L - 1)-fold d log integrals of some one-loop integral, so that once the latter is known, the integration can be performed in a systematic way. In particular, we write the eight-point penta-ladder as a 2L-fold d log integral whose symbol can be computed without performing any integration; we also obtain the last entries and the symbol alphabet of these integrals. Similarly we study the symbol of the seven-point double-penta-ladder, which is represented by a 2(L - 1)-fold integral of a hexagon; the latter can be written as a two-fold d log integral plus a boundary term. We comment on the relation of our representation to differential equations and resumming the ladders by solving certain integral equations.
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/311006/27515]
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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 5.Peking Univ, Sch Phys, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	He, Song,Li, Zhenjie,Tang, Yichao,et al. The Wilson-loop d log representation for Feynman integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(5):52.
APA	He, Song,Li, Zhenjie,Tang, Yichao,&Yang, Qinglin.(2021).The Wilson-loop d log representation for Feynman integrals.JOURNAL OF HIGH ENERGY PHYSICS(5),52.
MLA	He, Song,et al."The Wilson-loop d log representation for Feynman integrals".JOURNAL OF HIGH ENERGY PHYSICS .5(2021):52.