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

Abstract

The Gatto Sartori Tonin (GST) relation which establishes the Cabibbo angle in terms of the quark mass ratio: ${\theta }_C=\sqrt{m_d/m_s}$, is instituted as ${\theta }_{13}=\sqrt{m_1/m_3}$ to a Bi-large motivated lepton mixing framework that relies on the unification of mixing parameters: ${\theta }_{13}={\theta }_C$ and ${\theta }_{12}={\theta }_{23}$. This modification in addition to ruling out the possibility of vanishing ${\theta }_{13}$, 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 $U_{lL}$ with $({\theta }_{12}^l\sim {\theta }_C,\delta =0)$. The model being architected at the Grand unification theory (GUT) scale is further run down upto the $Z$ boson scale to understand the universality of the GST relation and the Cabibbo angle.

Comments: 14 pages, 10 figures, 2 tables