Vector and Axial-Vector Spectral Functions and QCD

Details Vector and Axial-Vector Spectral Functions and QCD Vector and Axial-Vector Spectral Functions and QCD

1997-03-04

arxiv.org/abs/hep-ex/9703004v2

Nucl.Phys.Proc.Suppl.55C:379-393,1997

Physics

High Energy Physics

High Energy Physics - Experiment

15 pages, 12 figures, LaTex, Talk given at the Fourth International Workshop on Tau Lepton Physics (TAU96), Colorado, Septembe

Scientific paper

10.1016/S0920-5632(97)00234-X

We present new results of the tau hadronic spectral function analysis using data accumulated by the ALEPH detector at LEP during the years 1991-94. In addition to the vector spectral functions, the axial-vector spectral functions and, separately, the tau --> 3pi nu as well as the tau --> pi 2pi0 nu spectral functions are determined from their respective unfolded, i.e., physical invariant mass spectra. The spectral functions are applied to QCD chiral sum rules in order to extract information about saturation at the tau mass scale. Using the the semi-leptonic tau decay rate for vector and axial-vector currents in addition to spectral moments, we obtain precise measurements of the strong coupling constant alpha_s(M_tau) and the contributing non-perturbative power terms. The evolution to the Z mass yields alpha_s(M_Z) = 0.1219 +/- 0.0019.

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