Estimating the strong coupling from τ decay using accelerating series convergence

2024/01/30 by Karl Schilcher, Schilcher, K., Cristiana Sebu +3 · 1 citation
Medicine · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Medical Imaging Techniques and Applications #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2401.17131

openalex publication_date 2024/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 k₅ and k₆ of the Adler function.

Cited by

• A new determination of α_s (M_τ²) and higher-order QCD corrections to hadronic τ decays

Related

• Determination of the numerical value for the strong coupling constant from tau decays in perturbative QCD
• Tau Decay Determination of the QCD Coupling
• On the Extraction of the Strong Coupling from Hadronic Tau Decay
• A new determination of α_s (M_τ²) and higher-order QCD corrections to hadronic τ decays
• The strong coupling from tau decays without prejudice