Summary
We consider the theoretical predictions of perturbative quantum chromodynamics (QCD) for the quantities\(R_{e^ + e^ - } \),R τ and Γ Z0hadronic . Using αs(M τ)=0.34 +0.04−0.05 , we find that αs (34 GeV)=0.140 +0.006−0.008 in agreement with the value extracted from experiment, αs (34 Gev)=0.148(22), and αs (M Z)=0.119(5), in excellent agreement with the experimental value from LEP, αs(M Z)=0.120(7). We show that using only the above value for αs(M τ) as input andno free parameters we can predict αs(μ) forM τ⩽μ⩽200 GeV. Our result is in agreement with all known experimental values. Thus it can be seen that αs truly runs, in agreement with perturbative QCD.
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M. A. Samuel andL. R. Surguladze:Phys. Rev. D,44, 1602 (1991).
L. R. Surguladze andM. A. Samuel:Phys. Rev. Lett.,66, 560 (1991).
S. G. Gorishny, A. L. Kataev andS. A. Larin:Phys. Lett. B,259, 144 (1991).
E. Braaten, S. Narison andA. Pich: QCDAnalysis of the Tau Hadronic Width, CERN-TH.6070/91, unpublished (1991). Their result is αs(M τ)=0.34 +0.08−0.06 , in agreement with ours.
M. A. Samuel andL. Surguladze:Mod. Phys. Lett. A,7, 781 (1992).
See ref.[4]. Their result is αs(M Z)=0.120(7), in agreement with ours.
H. Wachsmuth:Determination of the Strong Coupling Constant from e + e − Collisions at LEP, CERN-PPE/91-145 (unpublished), 1991.
We obtain Λ(6)/MS=93 +31−29 MeV for top-quark masses between 100 GeV and 180 GeV. SeeW. Marciano:Phys. Rev. D,29, 580 (1984).
W. Kwong, P. Mackenzie, R. Rosenfeld andJ. Rosner:Phys. Rev. D,37, 3210 (1988).
A. C. Benvenuti et al.:Phys. Lett. B,195, 97 (1987).
T. Akesson et al.:Z. Phys. C,32, 317 (1986).
J. Alitti et al.:Phys. Lett. B,263, 563 (1991).
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This work was supported by the U.S. Department of Energy under Grant No. DE-FG05-84ER40215.
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Samuel, M.A., Steinfelds, E. Perturbative quantum chromodynamics: Evidence that αs runs. Nuov Cim A 107, 831–835 (1994). https://doi.org/10.1007/BF02731099
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DOI: https://doi.org/10.1007/BF02731099