Master integrals for the four-loop Sudakov form factor

doi:http://dx.doi.org/10.1016/j.nuclphysb.2015.11.016

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	Master integrals for the four-loop Sudakov form factor
	Boels, RH ; Kniehl, BA ; Yang, G 2,3
刊名	NUCLEAR PHYSICS B
	2016
卷号	902 页码:387-414
关键词	MULTILOOP NUMERICAL-CALCULATIONS 3-LOOP SPLITTING FUNCTIONS MELLIN-BARNES INTEGRALS FEYNMAN-INTEGRALS ANALYTIC CONTINUATION RENORMALIZATION-GROUP SECTOR DECOMPOSITION ASYMPTOTIC-BEHAVIOR SPACE QCD
DOI	http://dx.doi.org/10.1016/j.nuclphysb.2015.11.016
英文摘要	The light-like cusp anomalous dimension is a universal function in the analysis of infrared divergences. In maximally (N = 4) supersymmetric Yang Mills theory (SYM) in the planar limit, it is known, in principle, to all loop orders. The non-planar corrections are not known in any theory, with the first appearing at the four-loop order. The simplest quantity which contains this correction is the four-loop two-point form factor of the stress tensor multiplet. This form factor was largely obtained in integrand form in a previous work for N = 4 SYM, up to a free parameter. In this work, a reduction of the appearing integrals obtained by solving integration-by-parts (IBP) identities using a modified version of Reduz e is reported. The form factor is shown to be independent of the remaining parameter at integrand level due to an intricate pattern of cancellations after IBP reduction. Moreover, two of the integral topologies vanish after reduction. The appearing master integrals are cross-checked using independent algebraic-geometry techniques explored in the Mint package. The latter results provide the basis of master integrals applicable to generic form factors, including those in Quantum Chromodynamics. Discrepancies between explicitly solving the IBP relations and the MINT approach are highlighted. Remaining bottlenecks to completing the computation of the four-loop non-planar cusp anomalous dimension in N = 4 SYM and beyond are identified. (C) 2015 The Authors. Published by Elsevier B.V.
学科主题	Physics
语种	英语
资助机构	German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; DFG [SFB 647]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23213]
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, State Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.[Boels, Rutger H.; Kniehl, Bernd A.] Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany 3.Humboldt Univ, IRIS Gebaude, Inst Phys, Zum Grossen Windkanal 6, D-12489 Berlin, Germany
推荐引用方式 GB/T 7714	Boels, RH,Kniehl, BA,Yang, G. Master integrals for the four-loop Sudakov form factor[J]. NUCLEAR PHYSICS B,2016,902:387-414.
APA	Boels, RH,Kniehl, BA,&Yang, G.(2016).Master integrals for the four-loop Sudakov form factor.NUCLEAR PHYSICS B,902,387-414.
MLA	Boels, RH,et al."Master integrals for the four-loop Sudakov form factor".NUCLEAR PHYSICS B 902(2016):387-414.