Affiliation:
1. University of Sao Paulo
2. San Francisco State University
3. University of Adelaide
4. York University
5. Autonomous University of Barcelona
Abstract
We discuss sum-rule determinations of \alpha_sαs
from non-strange hadronic \tauτ-decay
data. We investigate, in particular, the reliability of the assumptions
underlying the “truncated OPE strategy,” which specifies a certain
treatment of non-perturbative contributions, and which was employed in
Refs. . Here, we test this strategy by applying the strategy to the
RR-ratio
obtained from e^+e^-e+e−
data, which extend beyond the \tauτ
mass, and demonstrate that the assumptions underlying this strategy are
not, in general, valid. We then present a brief overview of new results
on the form of duality-violating non-perturbative contributions, which
are conspicuously present in the experimentally determined spectral
functions. As we show, with the current precision claimed for the
extraction of \alpha_sαs,
including a representation of duality violations is unavoidable if one
wishes to avoid uncontrolled theoretical errors.
Funder
Comisión Interministerial de Ciencia y Tecnología
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Fundação de Amparo à Pesquisa do Estado de São Paulo
Generalitat de Catalunya
Natural Sciences and Engineering Research Council
United States Department of Energy
Cited by
3 articles.
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