Measuring $CP$ violation and mixing in charm with inclusive self-conjugate multibody decay modes

Abstract

Time-dependent studies of inclusive charm decays to multibody self-conjugate final states can be used to determine the indirect $CP$-violating observable $A_{\Gamma }$ and the mixing observable $y_{CP}$, provided that the fractional $CP$-even content of the final state, $F_{+}$, is known. This approach can yield significantly improved sensitivity compared with the conventional method that relies on decays to $CP$ eigenstates. In particular, $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ appears to be an especially powerful channel, given its relatively large branching fraction and the high value of $F_{+}$ that has recently been measured at charm threshold.

Including minor modifications after journal acceptance

References in corpus (6)

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Cited by in corpus (5)

• First determination of the $CP$ content of $D\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and updated determination of the $CP$ contents of $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K^{+}{K}^{-}{\pi }^0$
• Mixing and $CP$ violation in the charm system
• Measurement of the $CP$-even fraction of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Search for time-dependent $CP$ violation in $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays
• Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$