Reconciling the analytic QCD with the ITEP operator product expansion philosophy

Details Reconciling the analytic QCD with the ITEP operator product expansion philosophy Reconciling the analytic QCD with the ITEP operator product expansion philosophy

2010-06-22

arxiv.org/abs/1006.4199v3

Phys.Rev.D82:114004,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 13 figures, 7 tables; grammatical corrections in the text; to appear in PRD

Scientific paper

10.1103/PhysRevD.82.114004

Analytic QCD models are those versions of QCD in which the running coupling parameter a(Q^2) has the same analytic properties as the spacelike physical quantities, i.e., no singularities in the complex Q^2 plane except on the timelike semiaxis. In such models, a(Q^2) usually differs from its perturbative analog by power terms ~(Lambda^2/Q^2)^k for large momenta, introducing thus nonperturbative terms in spacelike physical quantities whose origin is the UV regime. Consequently, it contradicts the ITEP-OPE philosophy which states that such terms can come only from the IR regimes. We investigate whether it is possible to construct analytic QCD models which respect the ITEP-OPE philosophy and, at the same time, reproduce not just the high-energy QCD observables, but also the low-energy ones, among them the well-measured semihadronic tau decay ratio.

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