τ hadronic spectral function moments in a nonpower QCD perturbation theory - INSPIRE

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τ hadronic spectral function moments in a nonpower QCD perturbation theory

Gauhar Abbas
(
- Valencia U., IFIC
)
,
B. Ananthanarayan
(
- Bangalore, Indian Inst. Sci.
)
,
I. Caprini
(
- Bucharest, IFIN-HH
)
,
J. Fischer
(
- Prague, Inst. Phys.
)

Jun 2, 2016

3 pages

Part of Proceedings, 37th International Conference on High Energy Physics (ICHEP 2014) : Valencia, Spain, July 2-9, 2014, 2777-2779

Published in:

Nucl.Part.Phys.Proc. 273-275 (2016) 2777-2779

Contribution to:

- ICHEP 2014
, 2777-2779

Published: Jun 2, 2016

DOI:

10.1016/j.nuclphysbps.2015.10.061

reference search1 citation

Citations per year

Abstract: (Elsevier)

The moments of the hadronic spectral functions are of interest for the extraction of the strong coupling and other QCD parameters from the hadronic decays of the τ lepton. 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.

strong coupling
tau decays
tau: hadronic decay
spectral representation: moment
renormalization group: invariance
quantum chromodynamics: perturbation theory
quantum chromodynamics: duality
duality: violation
strong interaction: coupling constant

References(19)

Figures(0)

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