Abstract
Grand Unified Theories predict relationships between the GUT-scale quark and lepton masses. Using new data in the context of the MSSM, we update the values and uncertainties of the masses and mixing angles for the three generations at the GUT scale. We also update fits to hierarchical patterns in the GUT-scale Yukawa matrices. The new data shows not all the classic GUT-scale mass relationships remain in quantitative agreement at small to moderate tanβ. However, at large tanβ, these discrepancies can be eliminated by finite, tanβ-enhanced, radiative, threshold corrections if the gluino mass has the opposite sign to the wino mass.
Highlights
The starting point for the light-quark masses at low scale is given by the χ2 fit to the data of Table 1 mu(μL) = 2.7 ± 0.5 MeV md(μL) = 5.3 ± 0.5 MeV ms(μL) = 103 ± 12 MeV
Explaining the origin of fermion masses and mixings remains one of the most important goals in our attempts to go beyond the Standard Model
We explore the sensitivity of these patterns to tan β-enhanced, radiative threshold corrections
Summary
The starting point for the light-quark masses at low scale is given by the χ2 fit to the data of Table 1 mu(μL) = 2.7 ± 0.5 MeV md(μL) = 5.3 ± 0.5 MeV ms(μL) = 103 ± 12 MeV. Using these as input we determine the values of the mass parameters at the GUT scale for various choices of tan β but not including possible tan β enhanced threshold corrections.
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