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Soft Wilson lines in soft-collinear effective theory

Junegone Chay·Chul Kim·Yeong Gyun Kim·Jong-Phil Lee
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Abstract

The effects of the soft gluon emission in hard scattering processes at the phase boundary are resummed in the soft-collinear effective theory (SCET). In SCET, the soft gluon emission is decoupled from the energetic collinear part, and is obtained by the vacuum expectation value of the soft Wilson-line operator. The form of the soft Wilson lines is universal in deep inelastic scattering, in the Drell-Yan process, in the jet production from e+e- collisions, and in the gamma* gamma* -> pi0 process, but its analytic structure is slightly different in each process. The anomalous dimensions of the soft Wilson-line operators for these processes are computed along the light-like path at leading order in SCET and to first order in alpha_s, and the renormalization group behavior of the soft Wilson lines is discussed.

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Junegone Chay, Chul Kim, Yeong Gyun Kim, Jong-Phil Lee. 2004-12-08. Soft Wilson lines in soft-collinear effective theory. https://doi.org/10.1103/physrevd.71.056001

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