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tau hadronic spectral function moments in a nonpower QCD perturbation theory

Abbas, Gauhar and Ananthanarayan, B and Caprini, I and Fischer, J (2016) tau hadronic spectral function moments in a nonpower QCD perturbation theory. In: 37th International Conference on High Energy Physics (ICHEP), JUL 02-09, 2014, Valencia, SPAIN, pp. 2777-2779.

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Official URL: http://dx.doi.org/10.1016/j.nuclphysbps.2015.10.06...


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 T 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-groupsummed 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.

Item Type: Conference Proceedings
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 31 Jan 2017 08:27
Last Modified: 31 Jan 2017 08:27
URI: http://eprints.iisc.ac.in/id/eprint/56182

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