Soft gluon resummation in the quark-vector boson vertex at high energy: On-mass-shell case
Abstract
Description
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.
Many changes and additions in the text, the main results unchanged. Accepted to EPJA; title changed in the journal version. 6pp, EPJA style
Many changes and additions in the text, the main results unchanged. Accepted to EPJA; title changed in the journal version. 6pp, EPJA style