Borel resummation of transverse momentum distributions

Details Borel resummation of transverse momentum distributions Borel resummation of transverse momentum distributions

2008-07-24

arxiv.org/abs/0807.3830v2

Nucl.Phys.B808:347-363,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 4 figures, LaTeX. Final version, to be published in N.P.B. References 10-11 added, several typos corrected

Scientific paper

10.1016/j.nuclphysb.2008.09.041

We present a new prescription for the resummation of contributions due to soft gluon emission to the trasverse 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.

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