Quark and lepton masses from renormalization-group fixed points
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields1981Vol. 24(3), pp. 691–703
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Abstract
The renormalization-group equations describing the evolution of fermion-Higgs-boson Yukawa coupling constants down from ${M}_{X}$ in a grand unified theory possess fixed points which may lead to universal predictions for fermion masses independent of symmetry considerations at ${M}_{X}$. Our analysis predicts \ensuremath{\approx} 240 GeV for the fixed-pint $t$-quark mass. Alternatively, a sufficiently heavy fourth SU(5) generation cannot be ruled out by existing bounds on the number of fermion generations, ${n}_{f}$, and we find fixed-point mass predictions of ${m}_{T}\ensuremath{\approx}219$ GeV, ${m}_{B}\ensuremath{\approx}215$ GeV, and ${m}_{E}\ensuremath{\approx}60$ GeV.
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