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The status of the strong coupling from tau decays in 2016

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arxiv 1612.03137 v1 pith:6OKGVSW5 submitted 2016-12-09 hep-ph hep-exhep-lat

The status of the strong coupling from tau decays in 2016

classification hep-ph hep-exhep-lat
keywords approachcouplingstrongdualityviolationsaccountdecaysdetermination
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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While the idea of using the operator product expansion (OPE) to extract the strong coupling from hadronic $\tau$ decay data is not new, there is an ongoing controversy over how to include quark-hadron "duality violations" (i.e., resonance effects) which are not described by the OPE. One approach attempts to suppress duality violations enough that they might become negligible, but pays the price of an uncontrolled OPE truncation. We critically examine a recent analysis using this approach and show that it fails to properly account for non-perturbative effects, making the resulting determination of the strong coupling unreliable. In a different approach duality violations are taken into account with a model, avoiding the OPE truncation. This second approach provides a self-consistent determination of the strong coupling from $\tau$ decays.

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