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

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

2003-12-18

arxiv.org/abs/hep-ph/0312258v3

Eur.Phys.J. A23 (2005) 501-506

Physics

High Energy Physics

High Energy Physics - Phenomenology

Many changes and additions in the text, the main results unchanged. Accepted to EPJA; title changed in the journal version. 6p

Scientific paper

10.1140/epja/i2004-10117-6

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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