Perturbative QCD relations inspired by hypothetical tau leptons

Technical Report · Fri Sep 10 04:00:00 EDT 1999

DOI:https://doi.org/10.2172/12484· OSTI ID:12484

Brodsky, Stanley J ^[1]

---

1. SLAC

We review our recent works on tests of perturbative QCD, inspired by the relation between the hadronic decay of the {tau} lepton and the e{sup +}e{sup -} 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{sub e{sup +}e{sup -}}. Second, using a differential form of these commensurate scale relations, we present a method to measure the QCD Gell-Mann-Low {Psi} function.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 12484
• Report Number(s): SLAC-PUB-8247
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANNIHILATION
DECAY
EFFECTIVE CHARGE
HADRONS
LEPTONS
PROBES
QUANTUM CHROMODYNAMICS
RENORMALIZATION
TAU PARTICLES