Structure functions for large $x$ and renormalization of Wilson loops

Preprint

4 February 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9210281

Abstract

We discuss the relation between partonic distributions near the phase space boundary and Wilson loop expectation values calculated along paths partially lying on the light-cone. Due to additional light-cone singularities, multiplicative renormalizability for these expectation values is lost. Nevertheless we establish the renormalization group equation for the light like Wilson loops and show that it is equivalent to the evolution equation for the physical distributions. By performing a two-loop calculation we verify these properties and show that the universal form of the splitting function for large x originates from the cusp anomalous dimension of Wilson loops.

Keywords

All Related Versions

Version 1, 1992-10-30, ArXiv
Version 2, 2005-02-04, ArXiv
Published version: Nuclear Physics B, 406 (1-2), 225.

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