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Determination of the strong coupling from hadronic tau decays using renormalization group summed perturbation theory | | Gauhar Abbas
; B. Ananthanarayan
; I. Caprini
; | | Date: |
5 Jun 2013 | | Abstract: | We determine the strong coupling constant $alpha_s$ from the $ au$ hadronic
width using a renormalization group summed (RGS) expansion of
the QCD Adler function. The main theoretical uncertainty in the extraction
of $alpha_s$ 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
behaviour of the series is similar to that of the standard
CIPT expansion. The value of the strong coupling in ${overline{
m MS}}$
scheme obtained with the RGS expansion is $ alpha_s(M_ au^2)= 0.338 pm
0.010$. 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 proceedings. | | Source: | arXiv, 1306.1095 | | Services: | Forum | Review | PDF | Favorites | |
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