Factorization and resummation for collinear poles in QCD amplitudes Page: 1 of 29
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Preprint typeset in JHEP style - PAPER VERSION YITP-SB-08-16
Universal structure of subleading infrared poles in
gauge theory amplitudes
Lance J. Dixon
Stanford Linear Accelerator Center, Stanford University,
Stanford, CA 94309, USA
E-mail: lance@slac. stanford. edu
Dipartimento di Fisica Teorica, Universita di Torino, and
INFN, Sezione di Torino, Via P. Giuria 1, I-10125 Torino, Italy
E-mail: magnea@to. infn. it
C. N. Yang Institute for Theoretical Physics, Stony Brook University,
SUNY, Stony Brook, NY 11794-3840, USA
ABSTRACT: We study the origin of subleading soft and collinear poles of form factors
and amplitudes in dimensionally-regulated massless gauge theories. In the case of form
factors of fundamental fields, these poles originate from a single function of the coupling,
denoted G(as), depending on both the spin and gauge quantum numbers of the field. We
relate G(as) to gauge-theory matrix elements involving the gluon field strength. We then
show that G(as) is the sum of three terms: a universal eikonal anomalous dimension, a
universal non-eikonal contribution, given by the coefficient B6(a,) of 6(1-z) in the collinear
evolution kernel, and a process-dependent short-distance coefficient function, which does
not contribute to infrared poles. Using general results on the factorization of soft and
collinear singularities in fixed-angle massless gauge theory amplitudes, we conclude that
all such singularities are captured by the eikonal approximation, supplemented only by
the knowledge of B6(a,). We explore the consequences of our results for conformal gauge
theories, where in particular we find a simple exact relation between the form factor and
the cusp anomalous dimension.
KEYWORDS: Factorization, Resummation, Wilson Lines, Gauge Theories.
Submitted to Physical Review D
Work supported in part by US Department of Energy contract DE-AC02-76SF00515
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Dixon, Lance J.; Magnea, Lorenzo & Sterman, George. Factorization and resummation for collinear poles in QCD amplitudes, article, May 28, 2008; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc896607/m1/1/: accessed January 21, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.