Mass varying neutrino oscillation in scalar-Gauss-Bonnet gravity

We investigate how matter density affects neutrino oscillations by considering a mass-varying neutrino scenario where the neutrino mass depends on a scalar field. This scalar field is non-minimally coupled to the Gauss-Bonnet (GB) invariant, causing its profile to be implicitly influenced by the surrounding matter distribution. Using data from solar neutrino experiments, we derive constraints on the model parameters, providing new insights into the properties of mass-varying neutrino within the Gauss-Bonnet scalar-tensor framework.