Complementary Quark and Lepton Deviation from Mass-Degeneracy Hierarchies
arXiv:0906.1982
Abstract
Near magnitudes of Dirac particle mass-ratios, mixing hierarchy-quantities and electroweak charges against the background of highly successful flavor-universal one-generation EW theory is a puzzle in need of diverse inclusive research. In this paper I study the problem in proper terms of lepton and quark Deviation-from-Mass-Degeneracy (DMD) hierarchies at tree EW approximation. As primary are considered not discrete flavor symmetry but rather the deviations from mass-degeneracy-symmetry without inventing exact particular symmetry. Empirically suggested benchmark flavor patterns (zero approximation) and deviations from benchmarks caused by emergence of a small related to EW charges parameter are considered two sources of realistic flavor quantities. Physically interesting mass and mixing flavor quantities are obtained as solutions of linear and quadratic DMD-hierarchy equation-pairs with complementary patterns of quark and lepton DMD-hierarchies. Dual relations between DMD-quantities of quarks and charged leptons (Dirac particles), on the one hand, and neutrinos (likely Majorana particles), on the other hand, are inferences. Considered in the literature approximate quark-neutrino mixing angle complementarity appears naturally from the violation of benchmark patterns by the emergent small parameter.
21 pages. Some notations and quantitative estimations changed