https://doi.org/10.1140/epja/i2004-10117-6
Soft-gluon resummation in quark-vector boson vertex at high energy
On-mass-shell case
1
Dipartimento di Fisica, Università di Cagliari and INFN Sezione di Cagliari, C.P. 170, I-90142, Monserrato (CA), Italy
2
Joint Institute for Nuclear Research, BLTP JINR, RU-141980, Dubna, Russian Federation
* e-mail: igor.cherednikov@jinr.ru
Received:
30
November
2004
Accepted:
9
December
2004
Published online:
14
January
2005
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.
PACS: 12.38.Cy Summation of perturbation theory – / 12.38.Lg Other nonperturbative calculations –
© Società Italiana di Fisica and Springer-Verlag, 2005
