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 electron positron
annihilation at high energy.