Analyticity and power corrections in hard-scattering hadronic functions

Details Analyticity and power corrections in hard-scattering hadronic functions Analyticity and power corrections in hard-scattering hadronic functions

2001-01-03

arxiv.org/abs/hep-ph/0101031v4

Phys.Lett. B504 (2001) 225-234; Erratum-ibid. B636 (2006) 330-331

Physics

High Energy Physics

High Energy Physics - Phenomenology

V1: 11 pages in RevTeX; 1 figure as EPS file; V2: typos in Eqs. (5) and (24) corrected; V3: Phys. Lett. B. 504 (2001) 225; V4:

Scientific paper

10.1016/S0370-2693(01)00297-0

Demanding the analyticity of hadronic observables (calculated in terms of power series of the running coupling) as a {\it whole}, we show that they are free of the Landau singularity. Employing resummation and dispersion-relation techniques, we compute in a unifying way power corrections to two different hard-scattering functions in perturbative QCD: the electromagnetic pion form factor to leading order and the inclusive cross section of the Drell-Yan process. In the second case, the leading nonperturbative power correction in $b\Lambda_{\rm QCD}$ gives rise to a Sudakov-like exponential factor in the impact parameter space which provides enhancement rather than suppression.

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