Abstract
One distinguishes between “true” -violating triple-product (TP) asymmetries which require no strong phases and “fake” asymmetries which are due to strong phases but require no violation. So far a single true TP asymmetry has been measured in . A general discussion is presented for -odd TP asymmetries in four-body decays. It is shown that TP asymmetries vanish for two identical and kinematically indistinguishable particles in the final state. Two examples are and . A nonzero TP asymmetry can be expected when nontrivial kinematic correlations exist, as in the decay . Triple-product asymmetries measured in charmed particle decays indicate an interesting pattern of final-state interactions. We reiterate a discussion of TP asymmetries in meson decays to two vector mesons each decaying to a pseudoscalar pair, extending results to decays where one vector meson decays into a lepton pair. We derive expressions for time-dependent TP asymmetries for neutral decays to flavorless states in terms of the neutral mass difference and the width-difference . Time-integrated true -violating asymmetries, measurable for untagged decays, are shown to be suppressed by neither nor if transversity amplitudes for -even and -odd states involve different weak phases. In contrast, fake asymmetries require flavor tagging and are suppressed by the former ratio when time integrated. We apply our results to and data and suggest an application for .
- Received 11 July 2011
DOI:https://doi.org/10.1103/PhysRevD.84.096013
© 2011 American Physical Society