Analyses of Neutrino Masses in the CP-Violating Standard Model

This article examines the patterns of neutrino masses within the framework of an analytically solvable, CP-violating Standard Model (CPVSM). Using two experimentally determined mass-squared differences (MSDs), Δₐ and Δb, three neutrino masses are predicted. In the CPVSM, when C = 0, or equivalently γ = 0, two of the three mass eigenvalues within a fermion type become degenerate. This suggests that the splitting of these masses may have resulted from a symmetry-breaking event in the early universe. The study explores all six possible correspondences between the experimentally observed Δₐ and Δb and three quantities Δₕₗ, Δₘₗ, and Δₕₘ. Of these six scenarios, four provide reasonable predictions for the neutrino masses, while two are logically excluded. The model predicts similar values for the heaviest neutrino mass, mₕ ≈ 5.0 · 10⁻² eV, and the lightest mass, mₗ ≈ 6.091 · 10⁻³ eV. However, it offers two possible values for the middle mass: mₘ ≈ 4.973 · 10⁻² eV or mₘ ≈ 1.055 · 10⁻² eV. Additionally, CP violation in the lepton sector is predicted to be about 73 orders of magnitude weaker than that in the quark sector.