ITP OpenIR  > 理论物理所2016年知识产出
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] ; 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] ; DFG [SFB 647] ; DFG [SFB 647]
DOIhttp://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] ; 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] ; DFG [SFB 647] ; DFG [SFB 647]
WOS类目Physics, Particles & Fields
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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2016年知识产出
通讯作者Kniehl, BA (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany.
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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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