scholarly journals Measurement of the strong coupling constant $\alpha_{\rm s}$ and the vector and axial-vector spectral functions in hadronic tau decays

1999 ◽  
Vol 7 (4) ◽  
pp. 571-593 ◽  
Author(s):  
K. Ackerstaff et al. ◽  
2016 ◽  
Vol 31 (26) ◽  
pp. 1630024 ◽  
Author(s):  
Diogo Boito ◽  
Maarten Golterman ◽  
Kim Maltman ◽  
Santiago Peris

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.


2012 ◽  
Author(s):  
James Osborne ◽  
Diogo Boito ◽  
Oscar Cata ◽  
Maarten Golterman ◽  
Matthias Jamin ◽  
...  

2013 ◽  
Vol 28 (24) ◽  
pp. 1360004 ◽  
Author(s):  
GAUHAR ABBAS ◽  
B. ANANTHANARAYAN ◽  
IRINEL CAPRINI

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.


2020 ◽  
Vol 125 (17) ◽  
Author(s):  
Claude Duhr ◽  
Falko Dulat ◽  
Bernhard Mistlberger

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