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arXiv · 1606.08898

The case for duality violations in the analysis of hadronic $τ$ decays

Santiago Peris·Diogo Boito·Maarten Golterman·Kim Maltman
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Abstract

We discuss why, in the determination of $α_s(m_τ^2)$ from hadronic $τ$ decays, two important assumptions made in most of previous analyses, namely the neglect of higher-dimension condensates and of Duality Violations (DVs), have introduced uncontrolled systematic errors into this determination. Although the use of pinched weights is usually offered as a justification of these assumptions, we explain why it is not possible to simultaneously suppress these two contributions; particularly since the Operator Product Expansion is expected to be an asymptotic, rather than a convergent expansion. There is not only experimental and theoretical evidence for DVs, but they also affect the extraction of $α_s(m_τ^2)$.

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Santiago Peris, Diogo Boito, Maarten Golterman, Kim Maltman. 2016-06-28. The case for duality violations in the analysis of hadronic $τ$ decays. https://doi.org/10.1142/s0217732316300317

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