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The three-loop form factor in N=4 super Yang-Mills


Gehrmann, Thomas; Henn, Johannes M; Huber, Tobias (2012). The three-loop form factor in N=4 super Yang-Mills. Journal of High Energy Physics, 2012(3):1-34.

Abstract

In this paper we study the Sudakov form factor in {N} = {4} super Yang-Mills theory to the three-loop order. The latter is expressed in terms of planar and non-planar loop integrals. We show that it is possible to choose a representation in which each loop integral has uniform transcendentality. We verify analytically the expected exponentiation of the infrared divergences with the correct values of the three-loop cusp and collinear anomalous dimensions in dimensional regularisation. We find that the form factor in {N} = {4} super Yang-Mills can be related to the leading transcendentality part of the quark and gluon form factors in QCD. We also study the ultraviolet properties of the form factor in D > 4 dimensions, and find unexpected cancellations, resulting in an improved ultraviolet behaviour.

Abstract

In this paper we study the Sudakov form factor in {N} = {4} super Yang-Mills theory to the three-loop order. The latter is expressed in terms of planar and non-planar loop integrals. We show that it is possible to choose a representation in which each loop integral has uniform transcendentality. We verify analytically the expected exponentiation of the infrared divergences with the correct values of the three-loop cusp and collinear anomalous dimensions in dimensional regularisation. We find that the form factor in {N} = {4} super Yang-Mills can be related to the leading transcendentality part of the quark and gluon form factors in QCD. We also study the ultraviolet properties of the form factor in D > 4 dimensions, and find unexpected cancellations, resulting in an improved ultraviolet behaviour.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2012
Deposited On:22 Feb 2013 10:03
Last Modified:05 Apr 2016 16:17
Publisher:Springer
ISSN:1029-8479
Publisher DOI:https://doi.org/10.1007/JHEP03(2012)101

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