The Strong Coupling and the Bottom Mass in Supersymmetric Grand Unified Theories

We apply the full one-loop corrections to the masses, gauge couplings, and Yukawa couplings in the minimal supersymmetric standard model. We focus on predictions for the strong coupling and the bottom-quark pole mass in the context of SU(5) supersymmetric grand unification. We discuss our results in...

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Published in:arXiv.org 1995-08
Main Author: Pierce, Damien
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Language:English
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Couplings
Grand unified theory
Higgs bosons
Mathematical models
Supersymmetry
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description We apply the full one-loop corrections to the masses, gauge couplings, and Yukawa couplings in the minimal supersymmetric standard model. We focus on predictions for the strong coupling and the bottom-quark pole mass in the context of SU(5) supersymmetric grand unification. We discuss our results in both the small and large \(\tan\beta\) regimes. We demonstrate that the finite (non-logarithmic) corrections to the weak mixing angle are essential in determining \(\alpha_s\) and \(m_b\) when some superpartner masses are light. Minimal SU(5) predicts acceptable \(\alpha_s\) and \(m_b\) only at small \(\tan\beta\) with SUSY masses of \(\cal O\)(TeV). The missing doublet model accommodates gauge and Yukawa coupling unification for small or large \(\tan\beta\), and for any SUSY mass scale. In the large \(\tan\beta\) case, the bottom mass is acceptable only if the Higgsino mass parameter \(\mu\) is positive.
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subjects Couplings
Grand unified theory
Higgs bosons
Mathematical models
Supersymmetry
title The Strong Coupling and the Bottom Mass in Supersymmetric Grand Unified Theories
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