High energy scattering in QCD and cross singularities of Wilson loops

Details High energy scattering in QCD and cross singularities of Wilson loops High energy scattering in QCD and cross singularities of Wilson loops

Publishing date

1994-09-30

URL

arxiv.org/abs/hep-ph/9409446v2

Journals

Nucl.Phys. B437 (1995) 127-162

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Phenomenology

Additional info

LaTeX style, 31 pages, 5 figures (included), ITP-SB-94-42

Type

Scientific paper

Digital Object Identifier

10.1016/0550-3213(94)00553-Q

Abstract

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson line expectation value we find that there is one-to-one correspondence between high energy asymptotics in QCD and renormalization properties of the so called cross singularities of Wilson lines. Using this relation we show that the asymptotic behavior of the quark-quark scattering amplitude is controlled by a $2\times 2$ matrix of the cross anomalous dimensions. We evaluate the matrix of cross anomalous dimension to two-loop order and study the properties of the obtained expressions to higher loop order.

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