Fits of α_s from event-shapes in the three-jet region: extension to all energies

This work is an extension of a previous publication [1] where we fitted the strong coupling α_s together with the non-perturbative parameter α₀ from event-shape and jet-shape distributions using power corrections computed in the three-jet region. In ref. [1] only ALEPH data at the Z-pole were used in the fit. Here, instead, we include a large data sample from various e⁺e⁻ experiments at energies ranging from 22 to 207 GeV and revisited the treatment of theoretical uncertainties. We find that the inclusion of different energies, while not changing the central fit result considerably, helps to disentangle the dependence of perturbative and non-perturbative corrections. Our best fit result is α_s(M_Z) = 0.1181−0.0005−0.0021+0.0002+0.0018, where the first error includes experimental uncertainties and the second one includes uncertainties associated with scale variation, mass effects, fit limits, non-perturbative schemes and non- perturbative uncertainties.