Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-10-19
Nucl.Phys. B419 (1994) 77-104
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, ITP-SB-93-61
Scientific paper
10.1016/0550-3213(94)90358-1
We present a new resummation formula for the Drell-Yan cross section. The formal resummation of threshold corrections in Drell-Yan hard-scattering functions produces an exponent with singularities from the infrared pole of the QCD running coupling. Our reformulation treats such `infrared renormalons' by a principal value prescription, analogous to a modified Borel transform. The resulting expression includes all large threshold corrections to the hard scattering function as an asymptotic series in $\alpha_s$, but is a finite function of $Q^2$. We find that the ambiguities of the resummed perturbation theory imply the presence of higher twist corrections to quark-antiquark hard-scattering functions that begin at $\Lambda_{QCD}/Q$. This suggests an important role for higher twist in the phenomonolgy of hadron-hadron inclusive cross sections. We also discuss the numerical evaluation of the exponent and its asymptotic perturbation series for representative values of $Q^2$.
Contopanagos Harry
Sterman George
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