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Testing QCD with hypothetical tau leptons

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Brodsky, S. J and Peláez Sagredo, José Ramón and Toumbas, N. (1999) Testing QCD with hypothetical tau leptons. Physical review D, 60 (3). ISSN 1550-7998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.60.037501


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Abstract

We construct new phenomenological tests of perturbative QCD by considering a hypothetical au lepton of arbitrary mass which decays hadronically through the electromagnetic current. Its adronic branching ratio can be computed directly as an integral over the e⁺e⁻ annihilation cross section ratio, R_ (e⁺e⁻). 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-A decay of the physical τ . This method allows the wide range of R_(e⁺e⁻) data (or other similar observables which define an effective charge) to be used as renormalization scheme and scale invariant probes of QCD. [S0556-2821(99)05713-6].


Item Type:Article
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©1999 The American Physical Society.

Uncontrolled Keywords:Total cross-section; Inclusive muon production; Pion form-factor; Cm energy-range; Square- root-S; E+E annihilation; Sum-rules; Renormalization-scheme; Spectral functions; Hadron-production
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:35682
Deposited On:15 Feb 2016 17:37
Last Modified:10 Dec 2018 15:10

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