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

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arxiv hep-ph/9210281 v2 pith:YYS6RKBJ submitted 1992-10-30 hep-ph

G.P.Korchemsky , G.Marchesini This is my paper · ORCID
classification hep-ph
keywords wilsonloopsdistributionsequationexpectationlargelight-conerenormalization
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

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