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R and ratios at the five-loop level of perturbative QCD

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Abstract

We study perturbative QCD at the five-loop level. In particular we considerR =σ tot(e + e → hadrons)/σ(e + e μ + μ ) andR τ = г(τ →v+hadrons)/г(τ →evν). We use our method to estimate the five-loop coefficients. As a result, we obtainα s (M z ) = 0.1186(11) andα s (34 GeV) = 0.1396(16), which are accurate at the 1% level. We also findR = 3.8350(18), which is consistent withR τ and is accurate to 0.05%.

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Samuel, M.A., Li, G. R and ratios at the five-loop level of perturbative QCD. Int J Theor Phys 33, 2207–2214 (1994). https://doi.org/10.1007/BF00675802

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory