2008/07/31 by Marco Bonvini, Stefano Forte, Giovanni Ridolfi · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2008.09.041
published as Nucl.Phys.B808:347-363,2009 · 18 pages, 4 figures, LaTeX. Final version, to be published in N.P.B. References 10-11 added, several typos corrected
openalex publication_date 2008/10/09 · arxiv created 2008/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We present a new prescription for the resummation of contributions due to soft gluon emission to the transverse momentum distribution of processes such as Drell–Yan production in hadronic collisions. We show that familiar difficulties in obtaining resummed results as a function of transverse momentum starting from impact-parameter space resummation are related to the divergence of the perturbative expansion of the momentum-space result. We construct a resummed expression by Borel resummation of this divergent series, removing the divergence in the Borel inversion through the inclusion of a suitable higher twist term. The ensuing resummation prescription is free of numerical instabilities, is stable upon the inclusion of subleading terms, and the original divergent perturbative series is asymptotic to it. We compare our results to those obtained using alternative prescriptions, and discuss the ambiguities related to the resummation procedure.