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The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3

2 Pith papers cite this work, alongside 144 external citations. Polarity classification is still indexing.

2 Pith papers citing it
144 external citations · Pith
abstract

We present the analytical $\alpha_{s}^3$ correction to the $Z^{0}$ decay rate into hadrons. We calculate this correction up to (and including) terms of the order $(m_Z^2/m_{top}^2)^3$ in the large top quark mass expansion. We rely on the technique of the large mass expansion of individual Feynman diagrams and treat its application in detail. We convert the obtained results of six flavour QCD to the results in the effective theory with five active flavours, checking the decoupling relation of the QCD coupling constant. We also derive the large charm quark mass expansion of the semihadronic $\tau$ lepton decay rate in the $\alpha_{s}^3$ approximation.

citation-role summary

background 1 method 1

citation-polarity summary

fields

hep-ph 2

years

2026 1 2025 1

representative citing papers

Renormalisation

hep-ph · 2025-11-03 · unverdicted · novelty 1.0

An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.

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Showing 2 of 2 citing papers.

  • Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination hep-ph · 2026-03-31 · conditional · none · ref 74 · internal anchor

    Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.

  • Renormalisation hep-ph · 2025-11-03 · unverdicted · none · ref 68 · internal anchor

    An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.