Determining $$\alpha_s$$ from hadronic $$\tau$$ decay: the pitfalls of truncating the OPE
- University of Sao Paulo
- San Francisco State University
- University of Adelaide, York University
- Autonomous University of Barcelona
We discuss sum-rule determinations of \alpha_s from non-strange hadronic \tau -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 -ratio obtained from e^+e^- data, which extend beyond the \tau 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 , 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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