Endpoint singularities in unintegrated parton distributions

Details Endpoint singularities in unintegrated parton distributions Endpoint singularities in unintegrated parton distributions

2007-02-19

arxiv.org/abs/hep-ph/0702196v1

Phys.Lett.B655:26-31,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1016/j.physletb.2007.08.081

We examine the singular behavior from the endpoint region x -> 1 in parton distributions unintegrated in both longitudinal and transverse momenta. We identify and regularize the singularities by using the subtraction method, and compare this with the cut-off regularization method. The counterterms for the distributions with subtractive regularization are given in coordinate space by compact all-order expressions in terms of eikonal-line operators. We carry out an explicit calculation at one loop for the unintegrated quark distribution. We discuss the relation of the unintegrated parton distributions in subtractive regularization with the ordinary parton distributions.

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