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; Kniehl, BA (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany.
	2016
发表期刊	NUCLEAR PHYSICS B
卷号	902 页码:387-414
文章类型	Article
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.
学科领域	Physics
资助者	German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647]
DOI	http://dx.doi.org/10.1016/j.nuclphysb.2015.11.016
关键词[WOS]	MULTILOOP NUMERICAL-CALCULATIONS ; 3-LOOP SPLITTING FUNCTIONS ; MELLIN-BARNES INTEGRALS ; FEYNMAN-INTEGRALS ; ANALYTIC CONTINUATION ; RENORMALIZATION-GROUP ; SECTOR DECOMPOSITION ; ASYMPTOTIC-BEHAVIOR ; SPACE ; QCD
收录类别	SCI
语种	英语
资助者	German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647]
WOS类目	Physics, Particles & Fields
引用统计
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/21828
专题	理论物理所SCI论文
通讯作者	Kniehl, BA (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany.
推荐引用方式 GB/T 7714	Boels, RH,Kniehl, BA,Yang, G,et al. Master integrals for the four-loop Sudakov form factor[J]. NUCLEAR PHYSICS B,2016,902:387-414.
APA	Boels, RH,Kniehl, BA,Yang, G,&Kniehl, BA .(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.

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