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

Thomas Gehrmann
(
- Zurich U. and
- Santa Barbara, KITP
)
,
Johannes M. Henn
(
)
,
Tobias Huber
(
- Santa Barbara, KITP and
- Siegen U.
)

Dec, 2011

35 pages

Published in:

JHEP 03 (2012) 101

e-Print:

1112.4524 [hep-th]

DOI:

10.1007/JHEP03(2012)101

Report number:

HU-EP-11-11-61,
NSF-KITP-11-268,
ZU-TH-28-11,
SI-HEP-2011-19

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Abstract: (arXiv)

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.

Note:

34 pages, 9 figures

Supersymmetric gauge theory
NLO Computations
supersymmetry: 4
form factor: Sudakov
gluon: form factor
regularization: dimensional
gauge field theory: Yang-Mills
quark: form factor
quantum chromodynamics
perturbation theory: higher-order

References(77)

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