  The T-odd triple product (TP) asymmetries in B decays to a pair of vector
mesons are treated as a good probe of CP violation because of the CPT symmetry.
If CPT is no longer a good symmetry, such correlations between T-odd and CP-odd
observables do not exist, and one might get unexpected nonzero TP asymmetries
as a signal for CPT violation. We give a general formalism of TP asymmetries in
the presence of CPT violation, either in decay or in neutral meson mixing. We
also discuss how the observables depending on the transversity amplitudes are
modified, and compare our expressions with the LHCb results, showing that the
study of TP asymmetries might turn out to be one of the best probes for CPT
violation.
