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

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

1992-10-30

arxiv.org/abs/hep-ph/9210281v2

Nucl.Phys.B406:225-258,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, LaTeX style; typos fixed, results for two-loop anomalous dimensions corrected, a note added

Scientific paper

10.1016/0550-3213(93)90167-N

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.

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