Infrared renormalons and analyticity structure in pQCD

Details Infrared renormalons and analyticity structure in pQCD Infrared renormalons and analyticity structure in pQCD

2002-11-14

arxiv.org/abs/hep-ph/0211226v3

Phys.Rev. D67 (2003) 074022

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, revtex4, 1 eps-figure; improved version - the paragraph containing Eqs.(18) and (19) is new, as well as the next para

Scientific paper

10.1103/PhysRevD.67.074022

Relation between the infrared renormalons, the Borel resummation prescriptions, and the analyticity structure of Green functions in perturbative QCD (pQCD) is investigated. A specific recently suggested Borel resummation prescription resulted in the Principal Value and an additional power-suppressed correction that is consistent with the Operator Product Expansion. Arguments requiring the finiteness of the result for any power coefficient of the leading infrared renormalon, and the consistency in the case of the absence of that renormalon, require that this prescription be modified. The apparently most natural modification leads to the result represented by the Principal Value. The analytic structure of the amplitude in the complex coupling plane, obtained in this way, is consistent with that obtained in the literature by other methods.

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