CP Violating Tri-Bimaximal-Cabibbo Mixing

Abstract

In view of the new data from the Daya Bay and RENO collaborations, King has presented a very natural deformation of tri-bimaximal mixing. Here, we show that L/E flatness of the e -like event ratio in the atmospheric neutrino data, when coupled with King's observation that the smallest neutrino mixing angle, , seems to be related to the largest quark mixing angle (the Cabibbo angle ), leading to a CP violating tri-bimaximal-Cabibbo mixing. King's tri-bimaximal-Cabibbo mixing follows as a leading order approximation from our result.