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: θ C = m d /m s , is instituted as θ 13 = m 1 /m 3 to a Bi-large motivated lepton mixing framework that relies on the unification of mixing parameters: θ 13 = θ C and θ 12 = θ 23 . This modification in addition to ruling out the possibility of vanishing θ 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 (θ l 12 ∼ θ C , δ = 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.