Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-06-01
Phys.Rev. D49 (1994) 1454-1467
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages + 7 figures (figures are available upon request), LaTex + RevTex 3.0, UPR-0556T
Scientific paper
10.1103/PhysRevD.49.1454
Grand unified theories often predict unification of Yukawa couplings (e.g., $h_{b} = h_{\tau}$), and thus certain relations among fermion masses. The latter can distinguish these from models that predict only coupling constant unification. The implications of Yukawa couplings of the heavy-family in the supersymmetric extension of the standard model (when embedded in a GUT) are discussed. In particular, uncertainties associated with $m_{t}$ and $m_{b}$, threshold corrections at the low-scale, and threshold and nonrenormalizable-operator corrections associated with a grand-unified sector at the high-scale are parametrized and estimated. The implication of these and of the correlation between $m_{t}$ and the prediction for $\alpha_{s}$ are discussed. Constraints on the $\tan\beta$ range in such models and an upper bound on the $t$-quark pole mass are given and are shown to be affected by the $\alpha_{s}-m_{t}$ correlation. Constraints on the low-scale thresholds are found to be weakened by uncertainties associated with the high-scale.
Langacker Paul
Polonsky Nir
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