Asymptotic structure of perturbative series for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\tau$\end{document} lepton observables View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2000-02

AUTHORS

J.G. Körner, F. Krajewski, A.A. Pivovarov

ABSTRACT

We analyze \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\tau$\end{document} lepton decay observables, namely the moments of the hadronic spectral density in the finite energy interval \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(0,M_\tau)$\end{document}, within finite order perturbation theory including \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\alpha_{\mathrm{s}}^4$\end{document} corrections. The start of the asymptotic growth of the perturbation theory series is found at this order in a scheme-invariant manner. We establish the ultimate accuracy of finite order perturbation theory predictions and discuss the construction of optimal observables. More... »

PAGES

461-467

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10052990279

DOI

http://dx.doi.org/10.1007/s10052990279

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1000046885


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