Expansions of tau hadronic spectral function moments in a nonpower QCD perturbation theory with tamed large order behavior

Abbas, Gauhar and Ananthanarayan, B and Caprini, Irinel and Fischer, Jan (2013) Expansions of tau hadronic spectral function moments in a nonpower QCD perturbation theory with tamed large order behavior. In: Physical Review D, 88 (3). 034026_1-034026_14.

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Abstract

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.

Item Type:	Journal Article
Publication:	Physical Review D
Publisher:	American Physical Society
Additional Information:	Copyright of this article belongs to American Physical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	23 Sep 2013 08:31
Last Modified:	23 Sep 2013 08:31
URI:	http://eprints.iisc.ac.in/id/eprint/47395

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