Lorentz invariant CPT violation: Particle and antiparticle mass splitting

TL;DR

This paper introduces a Lorentz invariant CPT violation model that allows for mass differences between particles and antiparticles, specifically applied to neutrinos and antineutrinos, using a nonlocal interaction framework.

Contribution

It provides an explicit Lagrangian model demonstrating fermion-antifermion mass splitting within a Lorentz invariant CPT violation context.

Findings

Proposes a nonlocal interaction vertex with an infrared divergent form factor.

Shows how CPT violation can lead to particle-antiparticle mass differences.

Offers a theoretical framework consistent with Lorentz invariance.

Abstract

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