Geodesic
Perturbation Theory and the Analytic Approach in the Context of the Inclusive $\tau$-Lepton Decay
Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 416-429

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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
Mots-clés : $\tau$-lepton. 
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     author = {O. P. Solovtsova},
     title = {Perturbation {Theory} and the {Analytic} {Approach} in the {Context} of the {Inclusive} $\tau${-Lepton} {Decay}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {416--429},
     publisher = {mathdoc},
     volume = {134},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a7/}
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O. P. Solovtsova. Perturbation Theory and the Analytic Approach in the Context of the Inclusive $\tau$-Lepton Decay. Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 416-429. http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a7/