Revamped Bi-large neutrino mixing with Gatto-Sartori-Tonin like relation

Abstract

The Gatto Sartori Tonin (GST) relation which connects the Cabibbo angle and the quark mass ratio: θC=md/ms, is instituted as θ13=m1/m3 to a Bi-large motivated lepton mixing framework that relies on the unification of mixing parameters: θ13=θC and θ12=θ23. This modification, in addition to ruling out the possibility of vanishing θ13, advocates for a nonzero lowest neutrino mass and underlines the normal ordering of the neutrino masses. The framework is further enhanced by the inclusion of a charged lepton diagonalizing matrix UlL with (θ12l∼θC). The model is framed at the Grand unification theory (GUT) scale. To understand the universality of the GST relation and the Cabibbo angle, we test the observational mixing parameters at the Z boson mass scale.