Determination of $α_s(M_τ^2)$: a conformal mapping approach

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, 2 figures. Talk given at the 11th International Workshop on Tau Lepton Physics, Manchester, UK, 13-17 September 2010

Scientific paper

10.1016/j.nuclphysbps.2011.06.02

We discuss a new class of expansions in perturbative QCD, based on the
technique of conformal mappings of the Borel plane, and apply them for the
determination of $\alpha_s$ from the hadronic decays of the $\tau$ lepton.
Using the expansion up to fifth order in the $\bar{\rm MS}$ scheme, the method
leads to the prediction $\alpha_s(M_\tau^2)= 0.320\pm 0.011$.

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