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), ₐ and b, three neutrino masses are predicted. In the CPVSM, when C = 0, or equivalently = 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 ₐ and b and three quantities ₇₋, ₌₋, and ₇₌. 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.