Interplay and Correlations Between Quark and Lepton Observables in Modular Symmetry Models

We present the first combined analysis of quark and lepton observables in flavour models based on modular invariance. The analysis is performed within a specific model with modular $2O$ symmetry. Unlike previous studies, which analyzed observables in the quark and lepton sectors separately, our work unifies their treatment under a single framework governed by a common complex modulus $\tau$ and twelve real parameters. The model is in good agreement with experimental data, while also predicting unmeasured lepton observables such as the leptonic Dirac CP-violation (CPV) phase, the two Majorana CPV phases, the lightest neutrino mass $m_1$ in normal ordering, and the effective masses $m_\beta$ and $m_{\beta\beta}$, which are measured in beta decay and neutrinoless double-beta decay experiments. These predictions fall within ranges that can be tested by current and future experiments, providing a concrete opportunity to probe the considered modular symmetry framework. Our results show that the $2O$ modular symmetry offers a natural, minimal-parameter explanation for quark and lepton mixing, revealing important correlations between the observables in the two sectors. This unified analysis opens new directions for investigations in neutrino and precision flavor physics.