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

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 $α_s$ from the hadronic decays of the $τ$ lepton. Using the expansion up to fifth order in the $\bar{\rm MS}$ scheme, the method leads to the prediction $α_s(M_τ^2)= 0.320\pm 0.011$.

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