${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ COHERENCE FACTOR $\mathit R_{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ 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.

S032CF1

VALUE

EVTS

DOCUMENT ID

TECN

COMMENT

$\bf{ 0.792 \pm0.033}$

OUR AVERAGE

$0.78$ $\pm0.04$

62.4k

ABLIKIM

2021

BES3

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at ${{\mathit \psi}{(3770)}}$

$0.82$ $\pm0.06$

¹ ^{, 2}^{, 3}

EVANS

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}

LIBBY

2014

Repl. by EVANS 2016

$0.78$ ${}^{+0.11}_{-0.25}$

⁴

LOWREY

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:

ABLIKIM

2021AA

JHEP 2105 164

Measurement of the $D \to K^-\pi^+\pi^+\pi^-$ and $D \to K^-\pi^+\pi^0$ coherence factors and average strong-phase differences in quantum-correlated ${D\bar{D}}$ decays

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

Also

PL B765 402 (errat.)

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