Solutions of the renormalization-group equations for minimal supergravity SU(5) grand unified theory and strong constraints on its parameters
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説明
A minimal N=1 supergravity SU(5) grand unified theory (GUT) is studied for a heavy top-quark mass (${\mathit{m}}_{\mathit{t}}$\ensuremath{\ge}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 tan\ensuremath{\beta} (8) are also given. Combining theoretical considerations with experimental restrictions due to the CERN ${\mathit{e}}^{+}$${\mathit{e}}^{\mathrm{\ensuremath{-}}}$ 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.
収録刊行物
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- Physical Review D
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Physical Review D 46 3966-3980, 1992-11-01
American Physical Society (APS)
