Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansions of $\tau$ hadronic spectral function moments in a nonpower
  QCD perturbation theory with tamed large order behavior   The moments of the hadronic spectral functions are of interest for the
extraction of the strong coupling $\alpha_s$ and other QCD parameters from the
hadronic decays of the $\tau$ lepton. Motivated by the recent analyses of a
large class of moments in the standard fixed-order and contour-improved
perturbation theories, we consider the perturbative behavior of these moments
in the framework of a QCD nonpower perturbation theory, defined by the
technique of series acceleration by conformal mappings, which simultaneously
implements renormalization-group summation and has a tame large-order behavior.
Two recently proposed models of the Adler function are employed to generate the
higher order coefficients of the perturbation series and to predict the exact
values of the moments, required for testing the properties of the perturbative
expansions. We show that the contour-improved nonpower perturbation theories
and the renormalization-group-summed nonpower perturbation theories have very
good convergence properties for a large class of moments of the so-called
"reference model", including moments that are poorly described by the standard
expansions. The results provide additional support for the plausibility of the
description of the Adler function in terms of a small number of dominant
renormalons.

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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: physics