One of the major open questions in the neutrino sector is the issue of leptonic CP violation. Current global oscillation data show a mild preference for a large, potentially maximal value for the Dirac CP phase in the neutrino mixing matrix. In this Letter, we point out that new physics in the form of neutral-current-like nonstandard interactions with real couplings would likely yield a similar conclusion even if CP in the neutrino sector were conserved. Therefore, the claim for a discovery of leptonic CP violation will require a robust ability to test new physics scenarios.
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