Effective Neutrino Masses from Four Flavor Neutrino Mixing Matrix

We consider the four neutrino oscillation that accommodate the all neutrino oscillation data. We consider the range of the corresponding mixing parameters by the result of neutrino oscillation experiments. Implicaion of the neutrino oscillation search for the neutrino mass square difference and mixing are discussed. We determine the possible values of the effective majorana neutrino mass vertical bar < m > vertical bar = vertical bar Sigma(j)U(ej)(2)m(j)vertical bar in the four neutrino scenario. In the four-neutrino scheme there is an upper bound on vertical bar < m > vertical bar of the normal mass order is 2.0074eV for alpha = 0 degrees, beta = 0 degrees and gamma = 0 degrees. In the case of inverted mass order the upper bound on | < m > | is 2.0069eV for alpha = 0 degrees, beta = 0 degrees and gamma = 0 degrees.

Automated summary

The study discusses the range of mixing parameters in a four-neutrino scenario and the implications for neutrino mass square difference and mixing. It determines the possible values of the effective majorana neutrino mass and provides upper bounds on the mass for different mass orderings in the four-neutrino scheme.