Study of CP Violation in Flavor Tagged and Untagged $D^0 \rightarrow K^-π^+$ Decays

Abstract

We review $CP$-violating observables in flavor tagged and untagged $D^0 \rightarrow K^{-}π^{+}$ decays and evaluate the $CP$ asymmetry difference between the two decays. We note that this commonly neglected difference is not zero in principle and can be significant in future $B$ factory experiments. We also construct an expression to extract the strong phase difference between $\bar{D}^0 \rightarrow K^-π^+$ and $D^0 \rightarrow K^-π^+$ decays, independently of existing experimental methods.

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