Soft gluon resummation in the quark-vector boson vertex at high energy: On-mass-shell case
arXiv:hep-ph/0312258 · doi:10.1140/epja/i2004-10117-6
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.
arXiv commentMany changes and additions in the text, the main results unchanged. Accepted to EPJA; title changed in the journal version. 6pp, EPJA style
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