αs from an improved τ vector isovector spectral function

EPJ Web of Conferences(2022)

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摘要
After discussing difficulties in determining αs from tau decay due to the existence of Duality Violations and the associated asymptotic nature of the OPE, we describe a new determination based on an improved vector isovector spectral function, now based solely on experimental input, obtained by (i) combining ALEPH and OPAL results for 2π + 4π and (ii) replacing K−K0 and higher-multiplicity exclusive-mode contributions, both previously estimated using Monte Carlo, with new experimental BaBar results for K−K0 and results implied by e+e− cross sections and CVC for the higher-multiplicity modes. We find αs(mτ) = 0.3077±0.0075, which corresponds to αs(mZ) = 0.1171±0.0010. Finally, we comment on some of the shortcomings in the criticism of our approach by Pich and Rodriguez-Sanchez.
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