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Soft gluon resummation in the quark-vector boson vertex at high energy: On-mass-shell case

Igor O. Cherednikov
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Abstract

Resummation of the soft gluon radiative corrections for the quark-vector boson vertex is performed within the path-integral (world-line) approach. The leading order expression for the vacuum averaged Wilson integral for an arbitrary gauge field is found in n-dimensional space-time. The cusp anomalous dimension of the color non-singlet Sudakov form factor of on-mass-shell quark is calculated in an arbitrary covariant gauge in the one-loop order, and the leading double-logarithmic asymptotical behavior is obtained from the corresponding evolution equation.

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Igor O. Cherednikov. 2005-01-18. Soft gluon resummation in the quark-vector boson vertex at high energy: On-mass-shell case. https://doi.org/10.1140/epja%2Fi2004-10117-6

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