DOI 10.1007/s100520000462
Summing up subleading Sudakov logarithms
J.H. Kühn1 - A.A. Penin2 - V.A. Smirnov3
1 Institut für Theoretische Teilchenphysik,
Universität Karlsruhe, 76128 Karlsruhe, Germany
2 II. Institut für Theoretische Physik,
Universität Hamburg, 22761 Hamburg, Germany
3 Nuclear Physics
Institute of Moscow State University,
119899 Moscow, Russia
Received: 6 June 2000 / Published online: 9 August 2000 - © Springer-Verlag 2000
Abstract
We apply the strategy of regions within dimensional
regularization to find functions involved in evolution
equations which govern the asymptotic dynamics of the
Abelian form factor and four-fermion
amplitude in the SU(N) gauge theory in the Sudakov
limit up to the next-to-leading logarithmic approximation.
The results are used for the analysis of the
dominant electroweak corrections to the fermion-antifermion pair production in the e+e- annihilation
at high energy.
Copyright Società Italiana di Fisica, Springer-Verlag 2000