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AN ANALYTIC METHOD OF DESCRIBING R-RELATED QUANTITIES IN QCD

Department of Physics, Washington University, St. Louis, MO 63130, USA

On leave from the Oklahoma Center for High Energy Physics and the Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA.

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I. L. SOLOVTSOV

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia

International Center for Advanced Studies, Gomel State Technical University, Gomel 246746, Belarus

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O. P. SOLOVTSOVA

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia

International Center for Advanced Studies, Gomel State Technical University, Gomel 246746, Belarus

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https://doi.org/10.1142/S0217732306020767Cited by:30 (Source: Crossref)

Abstract

A model based on the analytic approach to QCD, involving a summation of threshold singularities and taking into account the nonperturbative character of the light quark masses, is applied to find hadronic contributions to different physical quantities. It is shown that the suggested model allows us to describe well such objects as the hadronic contribution to the anomalous magnetic moment of the muon, the ratio of hadronic to leptonic τ-decay widths in the vector channel, the Adler D-function, the smeared R_Δ-function, and the hadronic contribution to the evolution of the fine structure constant.

Keywords:

PACS: 12.38.Cy, 11.10.Hi, 13.35.Dx, 14.60.Ef

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