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...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. B Vol. 357; no. 3; pp. 441 - 445
Main Authors Jones, H.F, Solovtsov, I.L, Solovtsova, O.P
Format Journal Article
LanguageEnglish
Published Elsevier B.V 07.09.1995
Online AccessGet full text

Cover

More Information
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