Combined Quark-Lepton-Complementarity via United by One-Parameter Particle Mixing Angles
Abstract
On the level of phenomenology unification-type idea of a basic connection between dimensionless mass and charge quantities requires particle mass copies and therefore is interesting as raison d'etre for particle flavor (degree of freedom). Particle mass ratios and mixing angles expressed in terms of related to the fine structure constant e-parameter are particular examples of mass-matrix -- charge unification. In this paper small violations of quark-lepton-complementarity (QLC) come from an accurate system of three quark mixing angles in terms of the e-parameter. Two patterns of small QLC-violations, 'combined' and 'universal', are considered. The first pattern predicts solar mixing angle θsol= 34.04o as ~7% violation of QLC, and atmospheric mixing angle θatm= 42.64o that is in agreement with QLC. The 'universal' pattern predicts the same magnitude of solar angle, while the atmospheric one violates QLC by ~1%, θatm= 43.0o. Quantitative tests of both QLC-violation patterns and choice between them can be made at accurate neutrino oscillation experiments.
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