One-loop threshold corrections in the minimal U(1)_{L_mu-L_tau} seesaw model break the tree-level two-zero minor structure, relaxing the lower bound on total neutrino mass and easing cosmological tension.
Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
8 Pith papers cite this work, alongside 167 external citations. Polarity classification is still indexing.
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abstract
In view of the latest T2K and MINOS neutrino oscillation data which hint at a relatively large theta_13, we perform a systematic study of the Majorana neutrino mass matrix M_nu with two independent texture zeros. We show that three neutrino masses (m_1, m_2, m_3) and three CP-violating phases (delta, rho, sigma) can fully be determined from two neutrino mass-squared differences (delta m^2, Delta m^2) and three flavor mixing angles (theta_12, theta_23, theta_13). We find that seven patterns of M_nu (i.e., A_{1,2}, B_{1,2,3,4} and C) are compatible with current experimental data at the 3-sigma level, but the parameter space of each pattern is more strictly constrained than before. We demonstrate that the texture zeros of M_nu are stable against the one-loop quantum corrections, and there exists a permutation symmetry between Patterns A_1 and A_2, B_1 and B_2 or B_3 and B_4. Phenomenological implications of M_nu on the neutrinoless double-beta decay and leptonic CP violation are discussed, and a realization of those texture zeros by means of the Z_n flavor symmetries is illustrated.
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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.
Universal two-zero textures in SO(10) remain compatible with JUNO-era flavor data, prefer normal ordering, predict meV-scale mββ, and arise from Z3-gauged Z7 non-invertible selection rules.
Two-zero textures in the neutrino mass matrix produce distinctive, testable correlations among charged lepton flavor violation processes, with some patterns suppressing muon-to-electron transitions while permitting tau decays at observable rates down to a 5-6 TeV cutoff.
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
Machine learning optimization is applied to find parameters yielding neutrino mass matrices with target textures in BSM leptonic models.
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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Radiative Breaking of Two-Zero Neutrino Mass Minors: Revisiting the $\mathrm{U}(1)_{L_\mu-L_\tau}$ Model
One-loop threshold corrections in the minimal U(1)_{L_mu-L_tau} seesaw model break the tree-level two-zero minor structure, relaxing the lower bound on total neutrino mass and easing cosmological tension.
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Revisiting One-Zero and Two-Zero Neutrino Mass Textures in Light of Recent Oscillation and Cosmological Data
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.
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Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries
Universal two-zero textures in SO(10) remain compatible with JUNO-era flavor data, prefer normal ordering, predict meV-scale mββ, and arise from Z3-gauged Z7 non-invertible selection rules.
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Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation
Two-zero textures in the neutrino mass matrix produce distinctive, testable correlations among charged lepton flavor violation processes, with some patterns suppressing muon-to-electron transitions while permitting tau decays at observable rates down to a 5-6 TeV cutoff.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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Rolling Down the Leptonic BSM Landscape Using Machine Learning Techniques
Machine learning optimization is applied to find parameters yielding neutrino mass matrices with target textures in BSM leptonic models.
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Emergent Neutrino Texture Geometry from Dark Matter and Lepton Flavor Violation in the Scotogenic Model
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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