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The interpretation of neutrino oscillation data has led to the questionwhether, in principle, an antiparticle like antineutrino can have a differentmass than its particle. In the framework of a Lorentz invariant CPT violation,which is based on the nonlocal interaction vertex and characterized by theinfrared divergent form factor, we present an explicit Lagrangian model for thefermion and antifermion mass splitting.

Lorentz invariant CPT violation: Particle and antiparticle mass splitting