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Autores principales: Schilcher, K., Sebu, C., Spiesberger, H.
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2401.17131
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author Schilcher, K.
Sebu, C.
Spiesberger, H.
author_facet Schilcher, K.
Sebu, C.
Spiesberger, H.
contents We apply the Euler transformation to accelerate the convergence of the QCD perturbative series with the aim to determine the strong coupling $α_s$ in terms of the total $τ$-decay rate $r_τ$. The variation of the result with the order of the QCD perturbation theory is small and comparable with the uncertainties of $r_τ$. We also present an estimate of a range of the yet unknown 5th and 6th order coefficients $k_5$ and $k_6$ of the Adler function.
format Preprint
id arxiv_https___arxiv_org_abs_2401_17131
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Estimating the strong coupling from $τ$ decay using accelerating series convergence
Schilcher, K.
Sebu, C.
Spiesberger, H.
High Energy Physics - Phenomenology
We apply the Euler transformation to accelerate the convergence of the QCD perturbative series with the aim to determine the strong coupling $α_s$ in terms of the total $τ$-decay rate $r_τ$. The variation of the result with the order of the QCD perturbation theory is small and comparable with the uncertainties of $r_τ$. We also present an estimate of a range of the yet unknown 5th and 6th order coefficients $k_5$ and $k_6$ of the Adler function.
title Estimating the strong coupling from $τ$ decay using accelerating series convergence
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2401.17131