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Complete QCD Corrections to Hadronic $Z$--Decays in Order $\alpha_s^4$

Authors
  • Baikov, P. A.
  • Chetyrkin, K. G.
  • Kühn, J. H.
  • Rittinger, J.
Type
Preprint
Publication Date
May 02, 2012
Submission Date
Jan 27, 2012
Identifiers
DOI: 10.1103/PhysRevLett.108.222003
Source
arXiv
License
Yellow
External links

Abstract

Corrections of order $\alpha_s^4$ for the axial singlet contributions for the decay rates of the $Z$-boson into hadrons are evaluated in the limit of the heavy top quark mass. Combined with recently finished ${\cal O}(\alpha_s^4)$ calculations of the non-signlet corrections, the new results directly lead us to the first {\em complete} ${\cal O}(\alpha_s^4)$ prediction for the total hadronic decay rate of the Z-boson. The new ${\cal O}(\alpha_s^4)$ term in Z-decay rate lead to a significant stabilization of the perturbative series, to a reduction of the theory uncertainty in the strong coupling constant $\alpha_s$, as extracted from these measurements, and to a small shift of the central value.

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