Solutions of the renormalization-group equations for minimal supergravity SU(5) grand unified theory and strong constraints on its parameters

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Supergravity, Spontaneous Breaking Of Gauge Symmetries, Supersymmetry

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A minimal N=1 supergravity SU(5) grand unified theory (GUT) is studied for a heavy top-quark mass (mt>=90 GeV). Renormalization-group equations are solved without neglecting the Yukawa couplings for the third generation of quarks and leptons. The solutions for mass parameters are expressed as linear combinations of the initial-value parameters of the model at the GUT scale and the coefficients are numerically obtained. This semianalytical expression of the solutions makes it easy to use the results for low-energy phenomenology. Approximate analytical solutions valid for small tanβ (<8) are also given. Combining theoretical considerations with experimental restrictions due to the CERN e+e- collider LEP, the Collider Detector at Fermilab (CDF), and the proton decay experiments of Kamiokande, we can show that the very limited supersymmetric parameter space remains allowed.

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