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Quantum field theory, which is the basis for all of particle physics,requires that all processes respect $CPT$ invariance. It is therefore ofparamount importance to test the validity of $CPT$ conservation. In thisLetter, we show that the time-dependent, indirect $CP$ asymmetries involving$B$ decays to a $CP$ eigenstate contain enough information to measure $T$ and$CPT$ violation in $B^0$-${\bar B}^0$ mixing, in addition to the standard$CP$-violating weak phases. Entangled $B^0{\bar B}^0$ states are not required(so that this analysis can be carried out at LHCb, as well as at the $B$factories), penguin pollution need not be neglected, and the measurements canbe made even if the $B^0$-${\bar B}^0$ width difference vanishes.

Using time-dependent indirect $CP$ asymmetries to measure $T$ and $CPT$ violation in $B^0$-${\bar B}^0$ mixing