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arxiv: 0803.0246 · v2 · submitted 2008-03-03 · ✦ hep-ph · hep-ex· hep-lat

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Unraveling duality violations in hadronic tau decays

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classification ✦ hep-ph hep-exhep-lat
keywords decaysdualitysystematicviolationsalphaerrorexpansionhadronic
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There are some indications from recent determinations of the strong coupling constant alpha_s and the gluon condensate that the Operator Product Expansion may not be accurate enough to describe non-perturbative effects in hadronic tau decays. This breakdown of the Operator Product Expansion is usually referred to as being due to ``Duality Violations.'' With the help of a physically motivated model, we investigate these duality violations. Based on this model, we argue how they may introduce a non-negligible systematic error in the current analysis, which employs finite-energy sum rules with pinched weights. In particular, this systematic effect might affect the precision determination of alpha_s from tau decays. With a view to a possible future application to real data, we present an alternative method for determining the OPE coefficients that might help estimating, and possibly even reducing, this systematic error.

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  1. Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD

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    Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.