Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-22
Phys.Rev. D65 (2002) 036001
Physics
High Energy Physics
High Energy Physics - Phenomenology
70 pages in LaTeX, 10 PostScript figures included in the text
Scientific paper
10.1103/PhysRevD.65.036001
We discuss the choice of weight functions for the moments of the spectral density for two-point correlators of hadronic currents over a finite energy interval. Of phenomenological relevance is an analysis of the spectra of tau lepton decay on the energy interval [0,M_tau] and the low-energy hadron production in e+ e- annihilation. General arguments are given for the calculability of such moments in perturbation theory using both a finite-order analysis and infinite resummation on the contour. Nonperturbative contributions emerging from the operator product expansion for two-point correlators are discussed within explicit models for the physical spectra. The quantitative analysis strongly disfavours weight functions that suppress the high-energy contribution to theoretical moments. This is in agreement with expectations from qualitative considerations in perturbative QCD with asymptotic freedom. We discuss the implication of our results for the ultimate accuracy that can be reached in tau decays and low-energy e+ e- annihilation into hadrons with present experimental data.
Groote Stefan
Körner Juergen G.
Pivovarov A. A.
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