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.
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.
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
citation-polarity summary
fields
hep-ph 2representative citing papers
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.
citing papers explorer
-
Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination
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
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.