Reducing θ_13 to 9 degrees

Abstract

We propose to consider the possibility that the observed value of ${\theta }_{13}$ is not the result of a correction from an initially vanishing value, but rather the result of a correction from an initially larger value. As an explicit example of this approach, we consider analytically and numerically well-known CKM-like charged lepton corrections to a neutrino diagonalization matrix that corresponds to a certain mixing scheme. Usually this results in generating ${\theta }_{13}=9^{\circ }$ from zero. We note here, however, that 9 is not only given by $0+9$, but also by $18-9$. Hence, the extreme case of an initial value of 18 degrees, reduced by charged lepton corrections to 9 degrees, is possible. For some cases under study new sum rules for the mixing parameters, and correlations with CP phases are found.

11 pages, 6 figures

References in corpus (10)

• Observation of electron-antineutrino disappearance at Daya Bay
• Global fit to three neutrino mixing: critical look at present precision
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Golden Ratio Prediction for Solar Neutrino Mixing
• U_{PMNS} = U_ell^dagger U_nu
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Large U_{e3} and Tri-bimaximal Mixing
• Low and High Energy Phenomenology of Quark-Lepton Complementarity Scenarios
• theta_C from the Dihedral Flavor Symmetries D_7 and D_14

Cited by in corpus (9)

• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• Generalized perturbations in neutrino mixing
• Modulated bimaximal neutrino mixing
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Lepton mixing patterns from combinations of elementary correlations