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题名: Master integrals for the four-loop Sudakov form factor
作者: Boels, RH ;  Kniehl, BA ;  Yang, G
刊名: NUCLEAR PHYSICS B
出版日期: 2016
卷号: 902, 页码:387-414
学科分类: Physics
DOI: http://dx.doi.org/10.1016/j.nuclphysb.2015.11.016
通讯作者: Kniehl, BA (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany.
文章类型: Article
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.
类目[WOS]: Physics, Particles & Fields
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
项目资助者: German Science Foundation (DFG) through the Collaborative Research Center [SFB 676] ;  DFG [SFB 647]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21828
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Boels, RH,Kniehl, BA,Yang, G. Master integrals for the four-loop Sudakov form factor[J]. NUCLEAR PHYSICS B,2016,902:387-414.
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