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Title: Perturbative QCD relations inspired by hypothetical tau leptons

Abstract

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.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
12484
Report Number(s):
SLAC-PUB-8247
TRN: US0401877
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: Invited talk to the QCD 99 Euroconference, Montpellier (FR); 07/07/1999--07/13/1999; PBD: 10 Sep 1999
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANNIHILATION; DECAY; EFFECTIVE CHARGE; HADRONS; LEPTONS; PROBES; QUANTUM CHROMODYNAMICS; RENORMALIZATION; TAU PARTICLES

Citation Formats

Brodsky, Stanley J. Perturbative QCD relations inspired by hypothetical tau leptons. United States: N. p., 1999. Web. doi:10.2172/12484.
Brodsky, Stanley J. Perturbative QCD relations inspired by hypothetical tau leptons. United States. doi:10.2172/12484.
Brodsky, Stanley J. Fri . "Perturbative QCD relations inspired by hypothetical tau leptons". United States. doi:10.2172/12484. https://www.osti.gov/servlets/purl/12484.
@article{osti_12484,
title = {Perturbative QCD relations inspired by hypothetical tau leptons},
author = {Brodsky, Stanley J.},
abstractNote = {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.},
doi = {10.2172/12484},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1999},
month = {9}
}

Technical Report:

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