Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running

Abstract

We analyze the effects of charged lepton corrections and renormalization group (RG) running on the low energy predictions of theories which accurately predict tri-bimaximal neutrino mixing at the high energy scale. In particular we focus on GUT inspired see-saw models with accurate tri-bimaximal neutrino mixing at the GUT scale, in which the charged lepton corrections are Cabibbo-like and give rise to sum rules valid at the GUT scale. We study numerically the RG corrections to a variety of such neutrino mixing sum rules in order to assess their accuracy and reliability when comparing them to future low energy neutrino oscillation experiments. Our results indicate that the RG corrections to neutrino mixing sum rules are typically small (less than one degree), at least in the examples studied with hierarchical neutrinos.

Comparison of numerical results to analytic estimates added. 26 pages, 19 figures

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Cited by in corpus (53)

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• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• On the origin of neutrino flavour symmetry
• A Grand Delta(96) x SU(5) Flavour Model
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• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• A4 models of tri-bimaximal-reactor mixing
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• Renormalization group running of neutrino parameters
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Minimal see-saw model predicting best fit lepton mixing angles
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Non-zero ${\theta }_{13}$ and CP violation in a model with $A_4$ flavor symmetry
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
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• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
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• Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections
• Phenomenology of flavon fields at the LHC
• Measurable Neutrino Mass Scale in A4 x SU(5)
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Quark mixing sum rules and the right unitarity triangle
• Perturbative generation of theta_{13} from tribimaximal neutrino mixing
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Lepton Sector Phases and Their Roles in Flavor and Generalized CP Symmetries
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Viability of the exact tri-bimaximal mixing at M_{GUT} in SO(10)
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Threshold effects on renormalization group running of neutrino parameters in the low-scale seesaw model
• Minimal predictive see-saw model with normal neutrino mass hierarchy
• Charged Lepton Corrections to Scaling Neutrino Mixing
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• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Quasi-degenerate neutrinos and tri-bi-maximal mixing
• Perturbative Bottom-up Approach for Neutrino Mass Matrix in Light of Large θ_{13} and Role of Lightest Neutrino Mass
• Neutrino Mass and Flavour Models
• Phenomenology of Discrete Flavour Symmetries
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• Neutrino Mass Models: Impact of non-zero reactor angle
• MSSM-like from $S{U}_5\times D_4$ Models
• Nonzero ${\theta }_{13}$, CP Violation, and $\mu -\tau$ Symmetry
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• Generating CP violation from a modified Fridberg-Lee model
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• Neutrino Masses and Mixings from Continuous Symmetries