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Determining $\alpha_s$ from hadronic $\tau$ decay: the {pitfalls of {truncating the OPE
by D. Boito, M. Golterman, K. Maltman and S. Peris
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Submission summary
| Authors (as registered SciPost users): | Santiago Peris |
| Submission information | |
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| Preprint Link: | scipost_201901_00045v1 (pdf) |
| Date submitted: | Jan. 18, 2019, 1 a.m. |
| Submitted by: | Santiago Peris |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | The 15th International Workshop on Tau Lepton Physics (TAU2018) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.~\cite{Pich,Aleph, Opal}. 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{, based on the outcome of these tests, we} demonstrate the failure of this strategy.} {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.