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TMF, 2003, Volume 134, Number 3, Pages 416–429 (Mi tmf168)  

This article is cited in 5 scientific papers (total in 5 papers)

Perturbation Theory and the Analytic Approach in the Context of the Inclusive $\tau$-Lepton Decay

O. P. Solovtsova

Joint Institute for Nuclear Research

Abstract: We perform a comparative analysis of different forms of pertubative expansions in spacelike and timelike regions. In the context of the inclusive -lepton decay, we compare the results obtained using the standard perturbation theory and the Shirkov–Solovtsov analytic approach, which modifies the perturbative expansions such that the new approximations reflect basic principles of the theory, such as renormalization invariance, spectrality, and causality. We show the advantages and self-consistency of the analytic approach in describing the $\tau$-lepton decay.

Keywords: quantum chromodynamics, renormalization group, perturbation theory, $\tau$-lepton

DOI: https://doi.org/10.4213/tmf168

Full text: PDF file (274 kB)
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English version:
Theoretical and Mathematical Physics, 2003, 134:3, 365–376

Bibliographic databases:

Received: 12.09.2001
Revised: 17.06.2002

Citation: O. P. Solovtsova, “Perturbation Theory and the Analytic Approach in the Context of the Inclusive $\tau$-Lepton Decay”, TMF, 134:3 (2003), 416–429; Theoret. and Math. Phys., 134:3 (2003), 365–376

Citation in format AMSBIB
\Bibitem{Sol03}
\by O.~P.~Solovtsova
\paper Perturbation Theory and the Analytic Approach in the Context of the Inclusive $\tau$-Lepton Decay
\jour TMF
\yr 2003
\vol 134
\issue 3
\pages 416--429
\mathnet{http://mi.mathnet.ru/tmf168}
\crossref{https://doi.org/10.4213/tmf168}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 3
\pages 365--376
\crossref{https://doi.org/10.1023/A:1022601522327}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000182047100007}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Prosperi, GM, “On the running coupling constant in QCD”, Progress in Particle and Nuclear Physics, 58:2 (2006), 387  crossref  adsnasa  isi  scopus  scopus
    2. Shirkov D.V., “Analytic perturbation theory model for QCD and upsilon decay”, Nuclear Phys B Proc Suppl, 162 (2006), 33–38  crossref  adsnasa  isi  elib  scopus  scopus
    3. D. V. Shirkov, I. L. Solovtsov, “Ten years of the analytic perturbation theory in QCD”, Theoret. and Math. Phys., 150:1 (2007), 132–152  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Wu X.-G. Brodsky S.J. Mojaza M., “The Renormalization Scale-Setting Problem in QCD”, Prog. Part. Nucl. Phys., 72 (2013), 44–98  crossref  adsnasa  isi  elib  scopus  scopus
    5. JETP Letters, 104:9 (2016), 601–608  mathnet  crossref  crossref  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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