Simplified Unitarity Triangles for the Lepton Sector

Abstract

Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the nu_2 mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter U_e3 of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will faciltate comparison with experiment.

4 pages, including one figure. v2: corrected typos in Eqs. 1 and 11; added new references to prior, relevant work; re-ordered some references; made 3 minor wording changes

References in corpus (7)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• A Measurement of Atmospheric Neutrino Oscillation Parameters by Super-Kamiokande I
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Implications of neutrino data circa 2005
• Leptonic Unitarity Triangles in Matter
• Reconstruction of the Neutrino Mixing Matrix and Leptonic Unitarity Triangles from Long-baseline Neutrino Oscillations
• New Reactor Neutrino Experiments besides Double-CHOOZ

Cited by in corpus (77)

• Physics at a future Neutrino Factory and super-beam facility
• 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
• Minimal Modification to Tri-bimaximal Mixing
• Unified Parametrization for Quark and Lepton Mixing Angles
• Mass Independent Textures and Symmetry
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Flavor mixings and textures of the fermion mass matrices
• Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
• Flavor Composition of UHE Neutrinos at Source and at Neutrino Telescopes
• Tri-bimaximal Neutrino Mixing and ${\theta }_{13}$
• Trimaximal $\mu$-$\tau$ reflection symmetry
• Texture 4 zero Fritzsch-like lepton mass matrices
• Simple two Parameter Description of Lepton Mixing
• The minimal seesaw and leptogenesis models
• Neutrino Mixing and Neutrino Telescopes
• Perturbed S3 neutrinos
• The symmetry approach to quark and lepton masses and mixing
• Zeros in the magic neutrino mass matrix
• Trimaximal mixing with a texture zero
• The signatures of the quintuplet leptons at the LHC
• Constraining Astrophysical Neutrino Flavor Composition from Leptonic Unitarity
• Triminimal Parametrization of Quark Mixing Matrix
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation
• Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter
• Suppressed FCNC in New Physics with Shared Flavor Symmetry
• Unitarity constraints on trimaximal mixing
• Leptonic Unitarity Triangles and Effective Mass Triangles of the Majorana Neutrinos
• A prediction of neutrino mixing matrix with CP violating phase
• A combination of the neutrino trimaximal mixings and mu-tau reflection symmetry in the type-I seesaw model
• Building the full PMNS Matrix from six independent Majorana-type phases
• The Matrix of Unitarity Triangle Angles for Quarks
• On Leptonic Unitary Triangles and Boomerangs
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• Neutrino Mass Matrices with $M_{ee}=0$
• Non-standard neutrino oscillations: perspective from unitarity triangles
• Leptonic $Z$ decays in the littlest $Higgs$ model with T-parity
• Symmetry based parameterizations of the lepton mixing matrix
• Constructing the Leptonic Unitarity Triangle
• Pair production of the heavy leptons in future high energy linear e^{+}e^{-} colliders
• Discriminating sterile neutrinos and unitarity violation with CP invariants
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• Implications of texture zeros for a variant of tribimaximal Mixing
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings
• Broken $S_3$ Neutrinos
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter
• Deviation from Tribimaximal mixing using $A_4$ flavour model with five extra scalars
• Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking
• Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry
• Exponential parameterization of the neutrino mixing matrix - comparative analysis with different data sets and CP violation
• New mixing schemes for (3+1) neutrinos
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Probing lepton flavor violation signal via e+ e- (gamma gamma) ---> l(i) anti-l(j) in the littlest Higgs model with T-parity at the ILC
• Optimal Parametrization of Deviations from Tribimaximal Form of the Neutrino Mass Matrix
• Revisiting the Quark-Lepton Complementarity and Triminimal Parametrization of Neutrino Mixing Matrix
• Production of mirror fermions via $e\gamma$ and $ep$ collisions in the littlest Higgs model with T-parity
• Lepton flavor violating signals of the LHT model via e^{+}e^{-} and γγcollisions at the ILC
• Particular textures of the minimal seesaw model
• A new texture of neutrino mass matrix with three constraints
• Phenomenology of Trimaximal mixing with one texture equality
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• Examination of pairs in neutrino mixing matrix
• Pair production of the heavy leptons associated with a gauge boson gamma or Z at the ILC
• Renormalization group running triggered tri-resonant leptogenesis within neutrino flavor-symmetry models
• Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector
• Phenomenological implications of two simple modifications to Tri-Bimaximal mixing
• An analytical treatment of the neutrino masses and mixings
• Rescuing leptogenesis in inverse seesaw models with the help of non-Abelian flavor symmetries
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• New Parametrization of Neutrino Mixing Matrix
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• Neutrino flavor mixing with approximate $\mu$-$\tau$ symmetry within the low-scale minimal linear seesaw model
• Note about lepton masses and mixings in two Ansatze