Advanced One-Parameter CKM Mixing Matrix and Universal Deviation from Exact Quark-Lepton Complementarity

TL;DR

This paper proposes a universal deviation from exact quark-lepton complementarity using a one-parameter CKM matrix model, leading to precise predictions of mixing angles and CP-violating phases consistent with experimental data.

Contribution

It introduces a new universal e-parameter to model quark and neutrino mixing matrices, explaining deviations from QLC and enabling accurate phenomenological predictions.

Findings

Exact QLC at leading order with the e-parameter shift.

Quantitative estimates of deviations from QLC.

Agreement of the CKM matrix with experimental data.

Abstract

In this paper, realistic CPT-symmetric united at substance quark and neutrino mixing matrices are studied by the idea that they are shifted from respectively unit and bimaximal benchmark matrices by one new small universal empirical e-parameter. At leading finite e-approximation quark-lepton complementarity (QLC) is an exact regularity. Equal solar and atmospheric deviations from exact QLC constitute one of the main inferences at next to leading approximation. That universal violation of exact QLC advances the status of the QLC idea; and the more so, as that deviation from QLC is quantitatively estimated and used for accurate calculations of lepton mixing angles. Quark and neutrino Dirac CP-violating phases are determined by the considered quadratic hierarchy paradigm in flavor phenomenology. Inferences are partly supported by quark heavy flavor unitarity triangle angles and testable at B-factory and LHC b experiments. Estimated magnitude of the unitarity triangle gamma-angle concurs with the quark CP-violating phase to within ~5x10-4. The final quark CKM mixing matrix in terms of the e-parameter is in excellent quantitative agreement with world data and suggests a fitting form of neutrino PMNS mixing matrix. The e-constant implications in flavor phenomenology are considered.