Determining the beta-function of the strong interaction and closing the light gluino window

Abstract

We discuss the perturbative running of alpha_s in a model independent way. Our analysis contains data on the hadronic tau decay and hadronic cross sections in e+e- annihilation between 5 GeV and M_Z. We determine the color coefficients and the perturbative beta-function of the strong interaction. The results are in agreement with QCD and rule out the QCD+light gluino scenarios on the 70.8 - 93.0% CL. We combine our method with that of the multi-jet analysis at LEP. The combined result rules out light gluinos at least on the 99.76% CL, provided that nonperturbative effects are not large.

6 pages, Latex, 3 eps figures included. Recently calculated three-loop calculations and some new experimental results are included in the analysis

References in corpus (4)

• Corrections of order ${\alpha }_s^3$ to $R_{had}$ in pQCD with light gluinos
• Gluino Contribution to the 3-loop QCD beta function in the Minimal Supersymmetric Standard Model
• Light Gluino Contribution in Hadronic Decays of Z boson and tau lepton to O(alpha_s^3)
• Directions in High Energy Physics

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