Large U_{e3} and Tri-bimaximal Mixing

Abstract

We investigate in a model-independent way to what extent one can perturb tri-bimaximal mixing in order to generate a sizable value of |U_{e3}|, while at the same time keeping solar neutrino mixing near its measured value, which is close to sin^2 theta_{12} = 1/3. Three straightforward breaking mechanisms to generate |U_{e3}| of about 0.1 are considered. For charged lepton corrections, the suppression of a sizable contribution to sin^2 theta_{12} can be achieved if CP violation in neutrino oscillations is almost maximal. Generation of the indicated value of |U_{e3}| of about 0.1 through renormalization group corrections requires the neutrinos to be quasi-degenerate in mass. The consistency with the allowed range of sin^2 theta_{12} together with large running of |U_{e3}| forces one of the Majorana phases to be close to pi. This implies large cancellations in the effective Majorana mass governing neutrino-less double beta, constraining it to lie near its minimum allowed value of m_0 cos 2 theta_{12}, where m_0 is greater than about 0.1 eV. Finally, explicit breaking of the neutrino mass matrix in the inverted hierarchical and quasi-degenerate neutrino mass spectrum cases is similarly correlated with the effective Majorana mass, although to a lesser extent. The implied values for the atmospheric neutrino mixing angle theta_{23} are given in all cases.

20 pages, 9 figures

References in corpus (21)

• Phenomenology with Massive Neutrinos
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• A model for trimaximal lepton mixing
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• U_{PMNS} = U_ell^dagger U_nu
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Contrasting solar and reactor neutrinos with a non-zero value of theta13
• Quark-lepton complementarity with quasidegenerate Majorana neutrinos
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• What we (would like to) know about the neutrino mass
• Minimal supergravity radiative effects on the tri-bimaximal neutrino mixing pattern
• Radiatively broken symmetries of nonhierarchical neutrinos
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Neutrino Oscillation Parameters After High Statistics KamLAND Results
• Triminimal Parametrization of Quark Mixing Matrix
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Neutrino oscillations, global analysis and theta(13)
• Entangled maximal mixings in U_PMNS=U_l^dagger U_nu, and a connection to complex mass textures
• Deviations from tri-bimaximal mixing
• Testable Deviation from Exact Tribimaximal Mixing

Cited by in corpus (10)

• Possible Alternatives to Tri-bimaximal Mixing
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Threshold effects on renormalization group running of neutrino parameters in the low-scale seesaw model
• Finite quantum corrections to the tribimaximal neutrino mixing
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Form Invariance and Symmetry in the Neutrino Mass Matrix
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections
• New Parametrization of Neutrino Mixing Matrix