Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The three-loop form factor in N=4 super Yang-Mills   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.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol