PoS - Proceedings of Science
Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Strong interactions and Hadron Physics
$\alpha_s(m_\tau)$ from an improved vector isovector spectral function
D. Boito*, M. Golterman, K. Maltman, S. Peris, M.V. Rodrigues and W. Schaaf
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Pre-published on: December 01, 2022
Published on: June 15, 2023
We discuss a new determination of the strong coupling at the $\tau$-mass scale, $\alpha_s(m_\tau^2)$, based on a new vector isovector spectral function, which combines ALEPH and OPAL spectra for the dominant $2\pi$ and $4\pi$ decay channels with estimates for several sub-leading contributions obtained using CVC from recently measured electroproduction cross-sections, as well as results for $\tau\to K^- K^0\nu_\tau$ obtained by BaBar. This fully inclusive vector isovector spectral function is entirely based on experimental data, and no longer relies on Monte Carlo input for any of the sub-leading modes. We obtain $\alpha_s(m_\tau)=0.3077\pm 0.0075$, corresponding to $\alpha_s(m_Z)=0.1171\pm 0.0010$.
DOI: https://doi.org/10.22323/1.414.0797
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