Is CP Invariance Violation Indicated by Neutrino Oscillations?

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The discussion centers on the interpretation of CP invariance violation in the context of neutrino oscillations as outlined in the 2005 Particle Data Group review. Specifically, it clarifies that if the mixing matrix U is not real, then the observed differences in probabilities, as calculated in equation (13.8), indicate a violation of CP invariance rather than CPT invariance. This distinction is crucial for understanding the implications of neutrino behavior and the underlying physics governing particle interactions.

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On page 3 of the following pdf:
http://pdg.lbl.gov/2005/reviews/numixrpp.pdf

the paragraph after equation 13.12, there's a line that says:
"Thus, if U is not real, the neutrino... When CPT holds, any difference between these probabilities indicates a violation of CP invariance."

I don't understand how it should be a violation of CP invariance, and not CPT invariance that is violated.
 
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It's correct, but confusing. When the author writes "any difference between these probabilities", by "these probabilities" he refers to the probabilities calculated in equation (13.8), not the probabilities calculated in (13.12).
 

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