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Complete O(αs4) QCD corrections to hadronic Z decays.

P A Baikov1, K G Chetyrkin, J H Kühn

  • 1Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 1(2), Leninskie gory, Moscow 119234, Russian Federation.

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New calculations provide the first complete O(α(s)(4)) prediction for Z boson hadronic decay rates. This enhances the stability of perturbative series and reduces uncertainty in the strong coupling constant α(s).

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • The Z boson's decay rate into hadrons is a crucial observable in particle physics.
  • Previous calculations were limited to lower orders of α(s)(4), introducing theoretical uncertainties.

Purpose of the Study:

  • To compute higher-order corrections for the Z boson hadronic decay rate.
  • To achieve the first complete O(α(s)(4)) prediction for this decay rate.

Main Methods:

  • Evaluation of O(α(s)(4)) axial singlet contributions in the heavy top quark mass limit.
  • Combination with existing O(α(s)(4)) nonsinglet corrections.

Main Results:

  • The first complete O(α(s)(4)) prediction for the total hadronic decay rate of the Z boson.
  • Significant stabilization of the perturbative series was observed.
  • Reduced theoretical uncertainty in the strong coupling constant α(s).

Conclusions:

  • The inclusion of O(α(s)(4)) corrections is essential for precise theoretical predictions.
  • The results improve the determination of the strong coupling constant α(s) from Z boson decays.