Summing up Subleading Sudakov Logarithms

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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17 pages LaTeX, missprins corrected, references added

Scientific paper

10.1007/s100520000462

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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