https://doi.org/10.1051/epjconf/202227403007
Determination of αs value from tau decays with a renormalon-motivated approach
1 Instituto de Alta Investigación, Sede Esmeralda, Universidad de Tarapacá, Av. Luis Emilio Recabarren 2477, Iquique, Chile
2 Department of Physics, Universidad Técnica Federico Santa María (UTFSM), Avenida España 1680, Valparaíso, Chile
* e-mail: cayalan@academicos.uta.cl
** e-mail: gorazd.cvetic@gmail.com
*** e-mail: diego.teca@usm.cl
Published online: 22 December 2022
We apply Borel-Laplace sum rules to the data of the semihadronic tau decay rate. For the higher order terms of the Adler function in the leadingtwist (D = 0) contribution we use a renormalon-motivated model, where the correct leading anomalous dimensions are taken into account in the IR u = 3 (and u = 2) renormalon contributions. In the evaluation of D = 0 contribution of the sum rules we apply two methods: (a) fixed order perturbation theory (FO) and (b) Borel resummation of the singular part with the Principal Value prescription (PV). We use as data the ALEPH data for the (V+A)-channel, and a combined set of data for the V-channel. In the D = 6 OPE term of the Adler function we account for the leading nonzero (and noninteger) anomalous dimension. In the OPE for the Adler function we include terms with dimension up to D = 10 for the (V+A)-channel, and up to D = 14 for the V-channel. In such cases, the extracted values of the coupling αs and of the condensates show a reasonably good convergence under the increase of OPE terms. In order to suppress the quark-hadron duality violations, our sum rules are doubly-pinched in the Minkowskian point. We obtain the averaged extracted values of the coupling αs(m2τ) = 0.3169+0.0070-0.0096, corresponding to αs(M2Z) = 0.1183+0.0009-0.0012.
© The Authors, published by EDP Sciences, 2022
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