Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process
Abstract
The soft-gluon resummation exponents GN in moment space are investigated for the quark coefficient functions in deep-inelastic structure functions and the quark-antiquark contribution to the Drell-Yan cross section dsigma/dM. Employing results from two- and three-loop calculations we obtain the next-to-next-to-leading logarithmic terms alphas (alphas ln N)n of GN to all orders in the strong coupling constant alphas. These new contributions facilitate a reliable assessment of the numerical effect and the stability of the large-N expansion.
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