Perturbative logarithms and power corrections in QCD hadronic functions. A unifying approach

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dc.creatorStefanis, N. G.
dc.date2002-03-11
dc.date2006-03-27
dc.date.accessioned2026-07-07T06:35:06Z
dc.date.available2026-07-07T06:35:06Z
dc.descriptionI present a unifying scheme for hadronic functions that comprises logarithmic corrections due to gluon emission in perturbative QCD, as well as power-behaved corrections of nonperturbative origin. The latter are derived by demanding that perturbatively resummed partonic observables should be analytic in the whole $Q^2$-plane if they are to be related to physical observables measured in experiments. I also show phenomenological consequences of this approach. The focus is on the electromagnetic pion form factor to illustrate both effects, Sudakov logarithms and power corrections in leading order of $Λ_{\rm{QCD}}^2/Q^2$. The same approach applied to the inclusive Drell-Yan cross section enables us to perform an absolutely normalized calculation of the leading power correction in $b^2Λ_{\rm{QCD}}^2$ (b being the impact parameter), which after exponentiation, gives rise to a nonperturbative Sudakov-type contribution that provides enhancement rather than suppression, hence partly counteracting the perturbative Sudakov suppression.
dc.description14 pages; 2 figures containing 3 EPS files; RevTex style; to appear by Springer Verlag as Lecture Notes in Physics. V2: The following equations have been corrected: second line of (26), (34), (39), (44), (45); values of a_0, a_1, a_2 below (40) corrected; Conclusions unchanged. See also hep-ph/0101031
dc.identifierhttps://arxiv.org/abs/hep-ph/0203103
dc.identifierhttp://arxiv.org/abs/hep-ph/0203103
dc.identifierLect.Notes Phys. 616 (2003) 153-166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99710
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePerturbative logarithms and power corrections in QCD hadronic functions. A unifying approach
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