Yukawa ratio predictions in non-renormalizable $\mathrm{SO}(10)$ GUT models

Abstract

Since $\mathrm{SO}(10)$ GUTs unify all fermions of the Standard Model plus a right-chiral neutrino in a representation $16$ per family, they have the potential to be maximally predictive regarding the ratios between the masses (or Yukawa couplings) of different fermion types, i.e.~the up-type quarks, down-type quarks, charged leptons and neutrinos. We analyze the predictivity of classes of $\mathrm{SO}(10)$ (SUSY) GUT models for the fermion mass ratios, where the Yukawa couplings for each family are dominated by a single effective GUT operator of the schematic form ${16}^2\cdot {45}^n\cdot {210}^m\cdot \mathbf{H}$, for $\mathbf{H}\in \{10,120,\overline{126}\}$. This extends previous works to general vacuum expectation value directions for GUT-scale VEVs and to larger Higgs representations. In addition, we show that the location of the MSSM Higgses in the space of all doublets is a crucial aspect to consider. We discuss highly predictive cases and illustrate the predictive power in toy models consisting of masses for the 3rd and 2nd fermion family.

arXiv comment47 pages, 12 figures, 12 tables

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Cited by in corpus (4)

• Quantum nature of the minimal potentially realistic $\mathrm{SO}(10)$ Higgs model
• Employing nucleon decay as a fingerprint of SUSY GUT models using \texttt{SusyTCProton}
• Implications of the Zero 1-3 Flavour Mixing Hypothesis: Predictions for ${\theta }_{23}^{\mathrm{PMNS}}$ and ${\delta }^{\mathrm{PMNS}}$
• Quark-lepton mass relations from modular flavor symmetry