CPT violation in long baseline neutrino experiments: a three flavor analysis

Understand

We explore possible signals of CPT violation in neutrinos in the complete three-flavor framework.

• Employing a systematic expansion in small parameters, we analytically estimate the CPT violating contributions to the survival probabilities of $\nu_\mu, \bar{\nu}_\mu, \nu_e$ and $\bar{\nu}_e$.
• The results indicate that, in spite of the large number of CPT violating parameters, only a small number of combinations are relevant for oscillation experiments.
• We identify the combinations that can be constrained at the long baseline experiments, and show that their contribution to the neutrino Hamiltonian can be bounded to $< 10^{-23}$ GeV, by considering the NOvA experiment for the muon sector, and neutrino factories for the electron sector.This formalism also allows us to translate the bounds on the parameters describing non-standard interactions of neutrinos into the bounds on CPT violating quantities.