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.
Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
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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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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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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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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.