Neutrino and antineutrino oscillations from decay of Z boson

Abstract

The two-particle wave function of neutrino and antineutrino after the decay of a Z boson is found as a solution of an initial value problem. The wave packet of this state involves the coherent superposition of massive neutrinos and antineutrinos resulting in independent oscillations of their flavor counterparts. Possible experiments to observe oscillations of a single lepton or both leptons from the same decay and the three independently emitted pairs are considered.