Perturbative QCD relations inspired by hypothetical tau leptons

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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 ... continued below

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5 pages

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Brodsky, Stanley J. September 10, 1999.

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Description

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.

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5 pages

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  • Other Information: Invited talk to the QCD 99 Euroconference, Montpellier (FR); 07/07/1999--07/13/1999

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  • Report No.: SLAC-PUB-8247
  • Grant Number: AC03-76SF00515
  • DOI: 10.2172/12484 | External Link
  • Office of Scientific & Technical Information Report Number: 12484
  • Archival Resource Key: ark:/67531/metadc622586

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  • September 10, 1999

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 2, 2016, 5:43 p.m.

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Brodsky, Stanley J. Perturbative QCD relations inspired by hypothetical tau leptons, report, September 10, 1999; Menlo Park, California. (digital.library.unt.edu/ark:/67531/metadc622586/: accessed August 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.