New Tests of Perturbative QCD Inspired by Hypothetical Tau Leptons
J. R. Pelaez, S.J. Brodsky, N. Toumbas

TL;DR
This paper develops new, scheme-independent tests of perturbative QCD based on tau lepton decay and electron-positron annihilation data, enabling consistency checks across various observables.
Contribution
It introduces commensurate scale relations that serve as renormalization scheme and scale invariant tests for leading-twist QCD predictions.
Findings
Provides a framework for scheme-independent QCD tests
Applicable to a wide range of experimental data
Enhances the self-consistency checks of perturbative QCD
Abstract
Inspired 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.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research
