On the Extraction of the Strong Coupling from Hadronic Tau Decay

Details On the Extraction of the Strong Coupling from Hadronic Tau Decay On the Extraction of the Strong Coupling from Hadronic Tau Decay

2011-11-21

arxiv.org/abs/1111.5040v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, contribution to Lattice 2011

Scientific paper

The finite energy sum rule extraction of the strong coupling {\alpha}_s from hadronic {\tau} decay data provides one of its most precise experimental determinations. As precision improves, small non-perturbative effects become increasingly relevant to both the central value and error. Here we present a new framework for this extraction employing a physically motivated model to accommodate violations of quark-hadron duality and enforcing a consistent treatment of higher-dimension operator product expansion contributions. Using 1998 OPAL data for the non-strange vector and axial-vector spectral functions, we find the n_f=3 values for {\alpha}_s(m_{\tau}^2) of 0.307(19) for fixed-order perturbation theory and 0.322(26) for contour-improved perturbation theory, corresponding to n_f=5 values for {\alpha}_s(M_Z^2) of 0.1169(25) and 0.1187(32), respectively.

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