Flavor Hierarchy Quadratic Rule and Dual Quark-Neutrino Mixing Patterns

Abstract

Flavor physics is about particle mass-degeneracy-deviations (DMD) and mixing and especially about hierarchies of those deviations. On the one hand there is no established theory of particle flavor at present; on the other hand there are growing data indications on interesting empirical flavor regularities that are described here by two semi-empirical rules: quadratic DMD-hierarchy and Dirac-Majorana DMD-duality rules. First rule unites neutrino solar-atmospheric hierarchy parameter with charged lepton (CL) and quark mass-ratio hierarchies and simultaneously unites the hierarchies in the mixing matrices of quarks and neutrinos; the second rule predicts quasi-degenerate neutrinos from the fact of CL and quark large mass hierarchy and explains quark-neutrino complementarity mixing relations. The neutrino and quark mixing data seem very different, but it results that small deviations from maximal neutrino mixing are nearly equal to the small deviations from minimal mixing of quarks. Those deviations are quantitatively described by only one new small flavor parameter ~0.0067.

17 pages

References in corpus (2)

• Phenomenology with Massive Neutrinos
• Universal Quadratic Hierarchy Rule in Lepton Flavor Physics and Large Neutrino Mixing

Cited by in corpus (5)

• Benchmark 3-Flavor Pattern and Small Universal Flavor-Electroweak Parameter
• Quadratic Hierarchy Flavor Rule as the Origin of Dirac CP-Violating Phases
• Electroweak model of lepton mass and mixing hierarchies
• United Quark and Neutrino Mixing Matrices with Universal Pair of CP-Violating Phases
• Top-Quark Mass Data and the Sum of Quasi-Degenerate Neutrino Masses (One small electroweak-bound e-parameter organizes elementary particle 3-flavor phenomenology)