The four-loop cusp anomalous dimension from the N=4 Sudakov form factor

We present an analytic derivation of the full four-loop cusp anomalous dimension of N=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ−2 pole of the form factor using parametric integrations of finite integrals. We provide u...

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Main Authors: Tobias Huber, Andreas von Manteuffel, Erik Panzer, Robert M. Schabinger, Gang Yang
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320303476
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spelling doaj-e6cbdca0cbf343a8808ada6b05a08b4b2020-11-25T03:39:12ZengElsevierPhysics Letters B0370-26932020-08-01807135543The four-loop cusp anomalous dimension from the N=4 Sudakov form factorTobias Huber0Andreas von Manteuffel1Erik Panzer2Robert M. Schabinger3Gang Yang4Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, 57068 Siegen, GermanyDepartment of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA; Corresponding author.All Souls College, University of Oxford, OX1 4AL, Oxford, UKDepartment of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USACAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, ChinaWe present an analytic derivation of the full four-loop cusp anomalous dimension of N=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ−2 pole of the form factor using parametric integrations of finite integrals. We provide uniformly transcendental results for the master integrals through to weight six and confirm a very recent independent analytic result for the full four-loop cusp anomalous dimension of the N=4 model.http://www.sciencedirect.com/science/article/pii/S0370269320303476
collection DOAJ
language English
format Article
sources DOAJ
author Tobias Huber
Andreas von Manteuffel
Erik Panzer
Robert M. Schabinger
Gang Yang
spellingShingle Tobias Huber
Andreas von Manteuffel
Erik Panzer
Robert M. Schabinger
Gang Yang
The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
Physics Letters B
author_facet Tobias Huber
Andreas von Manteuffel
Erik Panzer
Robert M. Schabinger
Gang Yang
author_sort Tobias Huber
title The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
title_short The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
title_full The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
title_fullStr The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
title_full_unstemmed The four-loop cusp anomalous dimension from the N=4 Sudakov form factor
title_sort four-loop cusp anomalous dimension from the n=4 sudakov form factor
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-08-01
description We present an analytic derivation of the full four-loop cusp anomalous dimension of N=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ−2 pole of the form factor using parametric integrations of finite integrals. We provide uniformly transcendental results for the master integrals through to weight six and confirm a very recent independent analytic result for the full four-loop cusp anomalous dimension of the N=4 model.
url http://www.sciencedirect.com/science/article/pii/S0370269320303476
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