RT Journal Article T1 Perturbative QCD relations inspired by hypothetical tau leptons A1 Peláez Sagredo, José Ramón A1 Brodsky, S. J A1 Merino, C. A1 Toumbas, N. AB 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. PB Elsevier Science Bv SN 0920-5632 YR 2000 FD 2000-06 LK https://hdl.handle.net/20.500.14352/59873 UL https://hdl.handle.net/20.500.14352/59873 LA eng NO ©Elsevier Science Bv.Euroconference on Quantum Chromodynamics (7. 1999. Montpellier, Francia).Research partially supported by the Spanish CICYT undercontract AEN97-1693 and the U.S. Department of EnergyDE-AC03-76SF00515. NO Spanish CICYT NO U.S. Department of Energy DS Docta Complutense RD 7 abr 2025