Measurement of the axial-vector $\tau$ spectral functions and determination of $\alpha_s(M_\tau^2)$ from hadronic $\tau$ decays

1998 ◽  
Vol 4 (3) ◽  
pp. 409-431 ◽  
Author(s):  
R. Barate et al. ◽  
Keyword(s):  
Axial Vector ◽  
Spectral Functions ◽  
Tau Decays ◽  
Hadronic Tau

scholarly journals αs analyses from hadronic tau decays with OPAL and ALEPH data

2016 ◽  
Vol 31 (26) ◽  
pp. 1630024 ◽  
Author(s):  
Diogo Boito ◽  
Maarten Golterman ◽  
Kim Maltman ◽  
Santiago Peris
Keyword(s):  
Strong Coupling ◽  
Data Sets ◽  
Higher Dimension ◽  
Spectral Functions ◽  
Combined Analysis ◽  
Tau Decays ◽  
Opal Data ◽  
Self Consistent ◽  
Hadronic Tau

Recently, we extracted the strong coupling, [Formula: see text], from the revised ALEPH data for non-strange hadronic tau decays. Our analysis is based on a method previously used for the determination of the strong coupling from OPAL data. In our strategy, we employ different moments of the spectral functions both with and without pinching, including duality violations, in order to obtain fully self-consistent analyses that do not rely on untested assumptions (such as the smallness of higher dimension contributions in the operation product expansion (OPE)). Here we discuss the [Formula: see text] values obtained from the ALEPH and the OPAL data, the robustness of the analysis, as well as non-perturbative contributions from DVs and the OPE. We show that, although the [Formula: see text] determination is sound, non-perturbative effects limit the accuracy with which one can extract the strong coupling from tau decay data. Finally, we discuss the compatibility of the data sets and the possibility of a combined analysis.

scholarly journals DETERMINATION OF THE STRONG COUPLING FROM HADRONIC TAU DECAYS USING RENORMALIZATION GROUP SUMMED PERTURBATION THEORY

2013 ◽  
Vol 28 (24) ◽  
pp. 1360004 ◽  
Author(s):  
GAUHAR ABBAS ◽  
B. ANANTHANARAYAN ◽  
IRINEL CAPRINI
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Coupling Constant ◽  
Convergence Properties ◽  
Tau Decays ◽  
Higher Order Terms ◽  
Borel Transformation ◽  
Adler Function ◽  
Hadronic Tau

We determine the strong coupling constant αs from the τ hadronic width using a renormalization group summed (RGS) expansion of the QCD Adler function. The main theoretical uncertainty in the extraction of αs is due to the manner in which renormalization group invariance is implemented, and the as yet uncalculated higher order terms in the QCD perturbative series. We show that new expansion exhibits good renormalization group improvement and the behavior of the series is similar to that of the standard CIPT expansion. The value of the strong coupling in [Formula: see text] scheme obtained with the RGS expansion is [Formula: see text]. The convergence properties of the new expansion can be improved by Borel transformation and analytic continuation in the Borel plane. This is discussed elsewhere in these issues.

scholarly journals Semi-inclusive tau decays involving the vector or axial-vector hadronic currents

1993 ◽  
Vol 304 (3-4) ◽  
pp. 359-365 ◽  
Author(s):  
S. Narison ◽  
A. Pich
Keyword(s):  
Axial Vector ◽  
Tau Decays

Determination of the surface and bulk 4f spectral functions in CeIr compounds

1996 ◽  
Vol 357-358 ◽  
pp. 293-297 ◽  
Author(s):  
G. Chiaia ◽  
S. De Rossi ◽  
L. Duò ◽  
P. Vavassori ◽  
F. Ciccacci ◽  
...  
Keyword(s):  
Spectral Functions
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