Gluino Contribution to the 3-loop QCD beta function in the Minimal Supersymmetric Standard Model

Abstract

We deduce the gluino contribution to the three-loop QCD βfunction within the minimal supersymmetric Standard Model (MSSM) from its standard QCD expression. The result is a first step in the computation of the full MSSM three-loop βfunction. In addition, in the case of a light gluino it provides the strong three-loop SUSY correction to the extrapolation of the strong coupling constant from the low energy regime to the Z region and up to the squark threshold.

11 pages, RevTex, 4 Postscript figure

References in corpus (3)

• $N=1$ supersymmetry and the three loop gauge beta function
• The three-loop SSM $\beta$-functions
• Light Gluino Contribution in Hadronic Decays of Z boson and tau lepton to O(alpha_s^3)

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• Gluino Contribution to the 3-loop Quark Mass Anomalous Dimension in the Minimal Supersymmetric Standard Model