Peláez Sagredo, José RamónBrodsky, S. JMerino, C.Toumbas, N.2023-06-202023-06-202000-060920-563210.1016/S0920-5632(00)00567-3https://hdl.handle.net/20.500.14352/59873©Elsevier Science Bv. Euroconference on Quantum Chromodynamics (7. 1999. Montpellier, Francia). Research partially supported by the Spanish CICYT under contract AEN97-1693 and the U.S. Department of Energy DE-AC03-76SF00515.We review our recent works on tests of perturbative QCD, inspired by the relation between the hadronic decay of the τ lepton and the e⁺e⁻ annihilation into hadrons. First, we present a set of commensurate scale relations that probe the self-consistency of leading-twist QCD predictions for any observable which defines an effective charge. These tests are independent of the renormalization scheme and scale, and are applicable over wide data ranges. As an example we apply this approach to R_e⁺e⁻. Second, using a differential form of these conmensurate scale relations, we present a method to measure the QCD Gell-Mann–Low Ψ function.engjournal articlehttp://dx.doi.org/10.1016/S0920-5632(00)00567-3http://www.sciencedirect.com/http://arxiv.org/abs/hep-ph/9909311open access51-73Heavy quarksTesting qcdDecaysAnnihilationObservablesAlpha(S)E(+)E(-)HadronsVectorModelFísica-Modelos matemáticosFísica matemática