# ${{\boldsymbol D}^{0}}$ $\rightarrow$ ${{\boldsymbol K}^{-}}{{\boldsymbol \pi}^{+}}{{\boldsymbol \pi}^{0}}$ COHERENCE FACTOR $\boldsymbol R_{ {{\boldsymbol K}} {{\boldsymbol \pi}} {{\boldsymbol \pi}^{0}} }$ INSPIRE search

See the note on `${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing' for the definition. $\mathit R_{ {{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}} }$ can have any value between 0 and 1. A value near 1 indicates the decay is dominated by a few intermediate states with limited interference.
VALUE DOCUMENT ID TECN  COMMENT
$0.82$ $\pm0.06$ 1, 2, 3
 2016
${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at ${{\mathit \psi}{(3770)}}$
• • • We do not use the following data for averages, fits, limits, etc. • • •
$0.82$ $\pm0.07$ 1, 3
 2014
Repl. by EVANS 2016
$0.78$ ${}^{+0.11}_{-0.25}$ 4
 2009
CLEO Repl. by LIBBY 2014
1  Uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$, where the decay rates of $\mathit CP$-tagged ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ final states depend on $\mathit R_{ {{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}} }$ and $\delta {}^{ {{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}} }$.
2  A combined fit with a recent LHCb ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ mixing results in AAIJ 2016F is also reported to be $0.81$ $\pm0.06$.
3  Obtained by analyzing CLEO-c data but not authored by the CLEO Collaboration.
4  LOWREY 2009 uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$, where the decay rates of $\mathit CP$-tagged ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ final states depend on $\mathit R_{ {{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}} }$ and $\delta {}^{ {{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}} }$. A fit that includes external measurements of charm mixing parameters gets $\mathit R_{ {{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}} }$ = $0.84$ $\pm0.07$.
References:
 EVANS 2016
PL B757 520 Improved Determination of the ${{\mathit D}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Coherence Factor and Associated Hadronic Parameters from a Combination of ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \psi}{(3770)}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}$ and ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit X}}$ Data
 LIBBY 2014
PL B731 197 New Determination of the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Coherence Factors and Average Strong-Phase Differences
 LOWREY 2009
PR D80 031105 Determination of the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Coherence Factors and Average Strong-Phase Differences using Quantum-Correlated Measurements