Testing QCD with hypothetical tau leptons

Journal Article · Sun Aug 01 04:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.60.037501· OSTI ID:700983

Brodsky, S J; Pelaez, J R; Toumbas, N ^[1]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)

We construct new phenomenological tests of perturbative QCD by considering a hypothetical {tau} lepton of arbitrary mass which decays hadronically through the electromagnetic current. Its hadronic branching ratio can be computed directly as an integral over the e{sup +}e{sup {minus}} annihilation cross section ratio, R{sub e{sup +}e{sup {minus}}}. More generally, we can design a set of commensurate scale relations which test the applicability and self-consistency of leading twist QCD predictions by varying the weight function away from the form associated with the V{minus}A decay of the physical {tau}. This method allows the wide range of R{sub e{sup +}e{sup {minus}}} data (or other similar observables which define an effective charge) to be used as renormalization scheme and scale invariant probes of QCD. {copyright} {ital 1999} {ital The American Physical Society}

• Research Organization: Stanford Linear Accelerator Center
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 700983
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 60; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BRANCHING RATIO
ELECTRON-POSITRON INTERACTIONS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SCALING LAWS
TAU PARTICLES