Algorithm for symbol integrations for loop integrals

doi:10.1103/PhysRevD.108.L041702

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	Algorithm for symbol integrations for loop integrals
	He, Song 1,2,3; Tang, Yichao 4
刊名	PHYSICAL REVIEW D
	2023
卷号	108 期号:4 页码:L041702
关键词	DIFFERENTIAL-EQUATIONS FEYNMAN-INTEGRALS POLYLOGARITHMS
ISSN号	2470-0010
DOI	10.1103/PhysRevD.108.L041702
英文摘要	We derive an algorithm for computing the total differentials of multiloop integrals expressed as onefold integrals of multiple polylogarithms, which can involve square roots of polynomials up to degree 4 and may evaluate to (elliptic) multiple polylogarithms [(e)MPLs]. This gives simple algebraic rules for computing the (W - 1, 1) coproduct of the resulting weight -W functions up to period terms, and iterating it gives the symbol without actually performing any integration. In particular, our algorithm generalizes existing MPL integration rules and sidesteps the complicated rationalization procedure in the presence of square roots. We apply our algorithm to conformal double-D-gon integrals in D dimensions with generic kinematics and possibly massive circumferential propagators. We directly compute, for the first time, the total differential and symbol (up to period terms) of the D = 3 double triangle and the D = 4 double box, which in the special case with massless propagators represent the first appearance of eMPL functions in (two-loop) scattering amplitudes of Aharony-Bergman-Jafferis-Maldacena theory and N = 4 super-Yang-Mills theory, respectively.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27922]
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.Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.Int Ctr Theoret Phys Asia Pacific, Beijing 100190, Peoples R China 4.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	He, Song,Tang, Yichao. Algorithm for symbol integrations for loop integrals[J]. PHYSICAL REVIEW D,2023,108(4):L041702.
APA	He, Song,&Tang, Yichao.(2023).Algorithm for symbol integrations for loop integrals.PHYSICAL REVIEW D,108(4),L041702.
MLA	He, Song,et al."Algorithm for symbol integrations for loop integrals".PHYSICAL REVIEW D 108.4(2023):L041702.