Analytic properties of the QCD running coupling constant and τ decay

A non-perturbative expansion method which gives a well-defined analytic continuation of the running coupling constant from the spacelike to the timelike region is applied to the inclusive semileptonic decay of the τ-lepton. The method allows us to evaluate R τ by integration over the non-perturbativ...

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Bibliographic Details
Published in:Physics letters. B 1995-09, Vol.357 (3), p.441-445
Main Authors: Jones, H.F, Solovtsov, I.L, Solovtsova, O.P
Format: Article
Language:English
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Summary:A non-perturbative expansion method which gives a well-defined analytic continuation of the running coupling constant from the spacelike to the timelike region is applied to the inclusive semileptonic decay of the τ-lepton. The method allows us to evaluate R τ by integration over the non-perturbative physical region, rather than by using Cauchy's theorem, and hence to incorporate threshold effects in a very direct way. Within our framework the difference between the effective coupling constants in the timelike and spacelike domains can be substantial and is not simply a matter of the standard π 2 terms.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(95)00914-7