${\theta }_{13}^{}$ and The Flavor Ring

Abstract

We present the results of a numerical search for the Dirac Yukawa matrices of the Standard Model, consistent with the quark and lepton masses and their mixing angles. We assume a diagonal up-quark matrix, natural in $\bs{\m Z_7 \rtimes \m Z_3}$, Bimaximal or Tri-bimaximal seesaw mixing, and $SU(5)$ unification to relate the down-quark and charged lepton Dirac Yukawa matrices using Georgi-Jarlskog mechanisms. The measured value of ${\theta }_{13}$ requires an asymmetric down-quark Yukawa matrix. Satisfying the measured values of both ${\theta }_{13}$ and the electron mass restricts the number of solutions, underlying the importance of the recent measurement of the reactor angle.

59 pages, 10 figures, 18 tables. Mathematica file included as an ancillary file

References in corpus (8)

• Observation of electron-antineutrino disappearance at Daya Bay
• Status of three-neutrino oscillation parameters, circa 2013
• Neutrino Mass and Mixing: from Theory to Experiment
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Unification and Fermion Mass Structure
• Quark and lepton masses at the GUT scale including SUSY threshold corrections
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Accurate renormalization group analyses in neutrino sector

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• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Leptogenesis from the Asymmetric Texture
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• Low-scale Resonant Leptogenesis in $SU(5)$ GUT with ${\mathcal{T}}_{13}$ Family Symmetry
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Asymmetric tri-bi-maximal mixing and residual symmetries
• Neutrinos and Particle Physics Models
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• The Dark Side of ${\theta }_{13}$, ${\delta }_{CP}$, Leptogenesis and Inflation in Type-I Seesaw
• Connecting Tribimaximal and Bitrimaximal Mixings
• Theory and phenomenology of Dirac neutrinos