First determination of the $CP$ content of $D \to π^+π^-π^+π^-$ and updated determination of the $CP$ contents of $D \to π^+π^-π^0$ and $D \to K^+K^-π^0$

S. Malde; C. Thomas; G. Wilkinson; P. Naik; C. Prouve; J. Rademacker; J. Libby; M. Nayak; T. Gershon; R. A. Briere

doi:10.1016/j.physletb.2015.05.043

paper

First determination of the $C P$ content of $D \to π^{+} π^{-} π^{+} π^{-}$ and updated determination of the $C P$ contents of $D \to π^{+} π^{-} π^{0}$ and $D \to K^{+} K^{-} π^{0}$

arXiv:1504.05878 · doi:10.1016/j.physletb.2015.05.043

Abstract

Quantum-correlated $ψ (3770) \to D D ˉ$ decays collected by the CLEO-c experiment are used to perform a first measurement of $F_{+}^{4 π}$ , the fractional $C P$ -even content of the self-conjugate decay $D \to π^{+} π^{-} π^{+} π^{-}$ , obtaining a value of $0.737 \pm 0.028$ . An important input to the measurement comes from the use of $D \to K_{S}^{0} π^{+} π^{-}$ and $D \to K_{L}^{0} π^{+} π^{-}$ decays to tag the signal mode. This same technique is applied to the channels $D \to π^{+} π^{-} π^{0}$ and $D \to K^{+} K^{-} π^{0}$ , yielding $F_{+}^{π π π^{0}} = 1.014 \pm 0.045 \pm 0.022$ and $F_{+}^{K K π^{0}} = 0.734 \pm 0.106 \pm 0.054$ , where the first uncertainty is statistical and the second systematic. These measurements are consistent with those of an earlier analysis, based on $C P$ -eigenstate tags, and can be combined to give values of $F_{+}^{π π π^{0}} = 0.973 \pm 0.017$ and $F_{+}^{K K π^{0}} = 0.732 \pm 0.055$ . The results will enable the three modes to be included in a model-independent manner in measurements of the unitarity triangle angle $γ$ using $B^{\mp} \to D K^{\mp}$ decays, and in time-dependent studies of $C P$ violation and mixing in the $D D ˉ$ system.

Minor revisions following journal acceptance

First determination of the $C P$ content of $D \to π^{+} π^{-} π^{+} π^{-}$ and updated determination of the $C P$ contents of $D \to π^{+} π^{-} π^{0}$ and $D \to K^{+} K^{-} π^{0}$

Abstract

References in corpus (6)

Cited by in corpus (3)

First determination of the CP content of D→π+π−π+π− and updated determination of the CP contents of D→π+π−π0 and D→K+K−π0

Abstract

References in corpus (6)

Cited by in corpus (3)

First determination of the $C P$ content of $D \to π^{+} π^{-} π^{+} π^{-}$ and updated determination of the $C P$ contents of $D \to π^{+} π^{-} π^{0}$ and $D \to K^{+} K^{-} π^{0}$