Sequence transformations applied to the fixed-order QCD series for hadronic tau decays produce estimates c5,1 = 298 ± 15, c6,1 = 3431 ± 256, c7,1 = 2.29 ± 0.29 × 10^4 and a predicted δ^(0)_FOPT = 0.2119 ± 0.0040.
Unraveling duality violations in hadronic tau decays
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abstract
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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hep-ph 2years
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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.
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Hadronic tau decays at higher orders in QCD
Sequence transformations applied to the fixed-order QCD series for hadronic tau decays produce estimates c5,1 = 298 ± 15, c6,1 = 3431 ± 256, c7,1 = 2.29 ± 0.29 × 10^4 and a predicted δ^(0)_FOPT = 0.2119 ± 0.0040.
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Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD
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.