2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49041Inspired by the relation between the hadronic decay of the tau lepton and the electron-positron annihilation into hadrons, we derive new tests of perturbative QCD. We design a set of commensurate scale relations to test the self-consistency of leading-twist QCD predictions for any observable which defines an effective charge. This method provides renormalization scheme and scale invariant probes of QCD which can be applied over wide data ranges.To appear in the proceedings of the XXXIVth Rencontres de Moriond: QCD and High Energy Hadronic Interactions. 4 pages. 4 figures. Latex uses mymorion.sty and psfigHigh Energy Physics - Phenomenologytext