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Boels, RH; Kniehl, BA; Yang, G ; Kniehl, BA (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany.
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| Master integrals for the four-loop Sudakov form factor | |
| Source Publication | NUCLEAR PHYSICS B
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| Language | 英语 |
| Abstract | 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. |
| 2016 | |
| Volume | 902Pages:387-414 |
| Subject Area | Physics |
| DOI | http://dx.doi.org/10.1016/j.nuclphysb.2015.11.016 |
| Indexed By | SCI |
| Funding Organization | 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] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/21828 |
| Collection | SCI期刊论文 |
| Corresponding Author | Kniehl, BA (reprint author), Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany. |
| Recommended Citation 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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