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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Cherednikov, I.O. Soft-gluon resummation in quark-vector boson vertex at high energy. Eur. Phys. J. A 23, 501–506 (2005). https://doi.org/10.1140/epja/i2004-10117-6
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DOI: https://doi.org/10.1140/epja/i2004-10117-6