Duality between QCD Perturbative Series and Power Corrections

Details Duality between QCD Perturbative Series and Power Corrections Duality between QCD Perturbative Series and Power Corrections

2009-06-23

arxiv.org/abs/0906.4312v2

Phys.Lett.B679:355-361,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

shorten version to appear in PLB

Scientific paper

10.1016/j.physletb.2009.07.060

We elaborate on the relation between perturbative and power-like corrections to short-distance sensitive QCD observables. We confront theoretical expectations with explicit perturbative calculations existing in literature. As is expected, the quadratic correction is dual to a long perturbative series and one should use one of them but not both. However, this might be true only for very long perturbative series, with number of terms needed in most cases exceeding the number of terms available. What has not been foreseen, the quartic corrections might also be dual to the perturbative series. If confirmed, this would imply a crucial modification of the dogma. We confront this quadratic correction against existing phenomenology (QCD (spectral) sum rules scales, determinations of light quark masses and of \alpha_s from \tau-decay). We find no contradiction and (to some extent) better agreement with the data and with recent lattice calculations.

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