QCD Effective Couplings in Minkowskian and Euclidean Domains

Details QCD Effective Couplings in Minkowskian and Euclidean Domains QCD Effective Couplings in Minkowskian and Euclidean Domains

2005-10-19

arxiv.org/abs/hep-ph/0510247v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to proceedings of "QCD@Work2005" meeting (Bari, July 2005), 7 pages, 3 figures; v2: few other applications (with

Scientific paper

10.1063/1.2163751

We argue for essential upgrading of the defining equations (9.5) and (9.6) in Section 9.2 "The QCD coupling ... " of PDG review and their use for data analysis in the light of recent development of the QCD theory. Our claim is twofold. First, instead of universal expression (9.5) for QCD coupling $\bar{\alpha}_s$, one should use various ghost-free couplings $\alpha_E(Q^2), \alpha_M(s)...$ specific for a given physical representation, Euclidean, Mincowskian etc. Second, instead of power expansion (9.6) for observable, we recommend to use nonpower functional ones over particular functional sets ${{\cal A}_k(Q^2)}$, ${{\mathfrak A}_k(s)}...$ related by suitable integral transformations. We remind that use of this modified prescription results in a better correspondence of reanalyzed low energy data with the high energy ones.

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