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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

Submission summary

As Contributors: Santiago Peris
Preprint link: scipost_201901_00045v2
Date accepted: 2019-02-14
Date submitted: 2019-02-11 01:00
Submitted by: Peris, Santiago
Submitted to: SciPost Physics Proceedings
Proceedings issue: The 15th International Workshop on Tau Lepton Physics (Amsterdam, 2018-09)
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


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 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.

Published as SciPost Phys. Proc. 1, 053 (2019)

Submission & Refereeing History

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Resubmission scipost_201901_00045v2 on 11 February 2019
Resubmission scipost_201901_00045v1 on 18 January 2019

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