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Summing up Subleading Sudakov Logarithms

J. H. Kuhn, A. A. Penin, V. A. Smirnov

hep-pharXiv:hep-ph/9912503

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.

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