Fermion Masses and Mixings in a $\mu$-$\tau$ symmetric SO(10)

Abstract

$\mu$-$\tau$ symmetry imposed on the neutrino mass matrix in the flavour basis is known to be quite predictive. We integrate this very specific neutrino symmetry into a more general framework based on the supersymmetric SO(10) grand unified theory. As in several other models, the fermion mass spectrum is determined by Hermitian mass matrices resulting from the renormalizable Yukawa couplings of the 16-plet of fermions with the Higgs fields transforming as $10,\overline{126},120$ representations of the SO(10) group. The $\mu$-$\tau$ symmetry is spontaneously broken through the 120-plet. Consequences of this scheme are considered for fermion masses using both type-I and type-II seesaw mechanism. This scenario is shown to lead to a generalized CP invariance of the mass matrices and vanishing CP violating phases if the Yukawa couplings are invariant under the $\mu$-$\tau$ symmetry. Small explicit breaking of the $\mu$-$\tau$ symmetry is then shown to provide a very good understanding of all the fermion masses and mixing. Detailed fits to the fermion spectrum are presented in several scenarios. One obtains a very good fit to all observables in the context of the type-I seesaw mechanism but type-II seesaw model also provides a good description except for the overall scale of the neutrino masses. Three major predictions on the leptonic mixing parameters in the type-I seesaw case are (1) the atmospheric mixing angle ${\theta }_{23}^l$ close to maximal, (2) ${\theta }_{13}^l$ close to the present upper bound and (3) negative but very small Dirac CP violating phase in the neutrino oscillations.

22 pages, six postscript figures

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Cited by in corpus (39)

• A review of mu-tau flavor symmetry in neutrino physics
• Fermion Masses in SO(10) Models
• θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Different SO(10) Paths to Fermion Masses and Mixings
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• Neutrino Mixings in SO(10) with Type II Seesaw and theta_{13}
• Roadmap of left-right models based on GUTs
• Origin of Quark-Lepton Flavor in SO(10) with Type II Seesaw
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• Inverse see-saw, leptogenesis, observable proton decay and ${\Delta }_{\mathrm{R}}^{\pm \pm }$ in SUSY SO(10) with heavy W_R
• Flavour physics without flavour symmetries
• Viability of the exact tri-bimaximal mixing at M_{GUT} in SO(10)
• ${\theta }_{13}$, $\mu \tau$ symmetry breaking and neutrino Yukawa textures
• Interplay between $\mu$-$\tau$ reflection symmetry, four-zero texture and universal texture
• Flavour symmetries in a renormalizable SO(10) model
• Type II Seesaw Dominance in Non-supersymmetric and Split Susy SO(10) and Proton Life Time
• Minimal spontaneous CP-violating GUT and predictions for leptonic CP phases
• New mechanism for Type-II seesaw dominance in SO(10) with low-mass Z-prime, RH neutrinos, and verifiable LFV, LNV, and proton decay
• Residual $Z_2$ symmetries and leptonic mixing patterns from finite discrete subgroups of $U(3)$
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• Charged Lepton Flavor Violation $\mu \to e\gamma$ in $\mu -\tau$ Symmetric SUSY SO(10) mSUGRA, NUHM, NUGM, and NUSM theories and LHC
• An SO(10) model with adjoint fermions for double seesaw neutrino masses
• New mixing pattern for neutrinos
• Quasi-degenerate neutrinos in SO(10)
• Almost exact diagonal reflection symmetries and three-zero texture
• Fermion number conservation and two Higgs doublet models without tree level flavour changing neutral currents
• Diagonal reflection symmetries and universal four-zero texture
• A renormalizable supersymmetric SO(10) model with natural doublet-triplet splitting
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Progress in the understanding of neutrino properties
• Examination of pairs in neutrino mixing matrix
• Significance of broken $\mu -\tau$ Symmetry in correlating ${\delta }_{CP}$, ${\theta }_{13}$, Lightest neutrino Mass and neutrinoless double beta decay $0\nu \beta \beta$
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• Examining A Renormalizable Supersymmetric SO(10) Model
• A realistic pattern of fermion masses from a five-dimensional SO(10) model