Strong Incompatability of Tribimaximal Mixing with Quark-Lepton Complementarity

TL;DR

This paper demonstrates that while tribimaximal mixing and quark-lepton complementarity are individually compatible with experimental data, they are fundamentally incompatible when considered together, with a significance of 56 sigma.

Contribution

It provides a rigorous statistical analysis showing the mutual exclusivity of TBM and QLC assumptions at a high confidence level.

Findings

TBM and QLC are compatible with data individually within 1 sigma.

TBM and QLC are mutually exclusive at 56 sigma significance.

The incompatibility challenges combined models of neutrino mixing and quark-lepton relations.

Abstract

Although tribimaximal mixing (TBM) and quark-lepton complementarity (QLC) are both compatible with experimental data within one standard deviation ($ 1 \sigma$), the TBM and QLC assumptions are mutually exclusive by $56 \sigma$.