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Title: Determining $$\alpha_s$$ from hadronic $$\tau$$ decay: the pitfalls of truncating the OPE

Journal Article · · SciPost Physics Proceedings

We discuss sum-rule determinations of \alpha_s α s from non-strange hadronic \tau τ -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 R R -ratio obtained from e^+e^- e + e data, which extend beyond the \tau τ 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_s α s , including a representation of duality violations is unavoidable if one wishes to avoid uncontrolled theoretical errors.

Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0013682
OSTI ID:
1495814
Journal Information:
SciPost Physics Proceedings, Journal Name: SciPost Physics Proceedings Journal Issue: 1
Publisher:
Stichting SciPostCopyright Statement
Country of Publication:
Country unknown/Code not available
Language:
English

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