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A complete survey of texture zeros in the lepton mass matrices

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arxiv 1406.3546 v5 pith:OFO5SVFK submitted 2014-06-13 hep-ph

Patrick Otto Ludl , Walter Grimus This is my paper
classification hep-ph
keywords massneutrinomatricesmodelspredicttextureanalysiscomplete
verification ladder T0 review T1 audit T2 compute T3 formal
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We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M_\ell, M_D) and (M_\ell, M_L), where M_\ell, M_D and M_L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay. Apart from one model, which has marginal predictive power with respect to sin^2(theta_23), no other model can predict any of the already measured observables.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Minimal Dark $SU(2)$ Origin of a Massless Dirac Neutrino

    hep-ph 2026-05 unverdicted novelty 6.0 of 10

    A minimal dark SU(2)_D model with anomaly cancellation and Z4 symmetry generates a rank-two Dirac neutrino mass matrix enforcing one exactly massless neutrino.

  2. A Novel Neutrino Mass Matrix

    hep-ph 2025-08 reject novelty 6.0 of 10

    A neutrino mass matrix texture with correlations m12=m13 and m33=2i m12 is claimed to fix the hierarchy, octant, and CP phases, but the supporting model and RG analysis are incomplete.

  3. Revisiting One-Zero and Two-Zero Neutrino Mass Textures in Light of Recent Oscillation and Cosmological Data

    hep-ph 2026-07 conditional novelty 5.0 of 10

    With CMB+BAO mass-sum bounds only A1/A2 two-zero textures survive; viable one-zero textures (via flow matching) predict distinct Σmi, ⟨mee⟩, and δCP patterns, realizable by non-invertible selection rules.

  4. One-Zero Neutrino Textures and Resonant Type-II Leptogenesis: Flavor-Resolved Thermal Evolution and Baryon Asymmetry

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Several one-zero neutrino textures remain compatible with oscillation data and generate the baryon asymmetry via resonant Type-II leptogenesis with flavor-resolved Boltzmann evolution.

  5. Equal Majorana Phases from a Minimal and Predictive Neutrino Texture

    hep-ph 2023-03 unverdicted novelty 5.0 of 10

    A new minimal neutrino mass matrix texture is introduced that enforces equal Majorana phases within a partial TBM scheme and is realized via hybrid Type-I and Type-II seesaw under an extended discrete symmetry.

  6. Emergent Neutrino Texture Geometry from Dark Matter and Lepton Flavor Violation in the Scotogenic Model

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    Numerical scans in the minimal scotogenic model indicate that approximate neutrino texture structures emerge dynamically from dark matter and lepton flavor violation consistency conditions.

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