Combined Quark-Lepton-Complementarity via United by One-Parameter Particle Mixing Angles

TL;DR

This paper explores small violations of quark-lepton complementarity using a unified approach with a single parameter, predicting specific neutrino mixing angles and suggesting experimental tests for these patterns.

Contribution

It introduces two novel patterns of quark-lepton complementarity violations based on a unified parameter, providing precise predictions for neutrino mixing angles.

Findings

Predicted solar mixing angle ~34.04° with ~7% QLC violation.

Predicted atmospheric mixing angle ~42.64° in agreement with QLC.

Alternative pattern predicts atmospheric angle ~43.0° with ~1% violation.

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 {\theta}sol= 34.04o as ~7% violation of QLC, and atmospheric mixing angle {\theta}atm= 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%, {\theta}atm= 43.0o. Quantitative tests of both QLC-violation patterns and choice between them can be made at accurate neutrino oscillation experiments.