${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ AVERAGE RELATIVE STRONG PHASE $\delta {}^{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ INSPIRE search

The quoted value of $\delta $ is based on the same sign $\mathit CP$ phase of ${{\mathit D}^{0}}$ and ${{\overline{\mathit D}}^{0}}$ convention.
S032SP1
VALUE ($^\circ{}$) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 198 \pm10}$ OUR AVERAGE
$196$ ${}^{+14}_{-15}$ 62.4k 1
ABLIKIM
2021AA
 BES3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at ${{\mathit \psi}{(3770)}}$
$199$ ${}^{+13}_{-14}$ 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. • • •
$164$ ${}^{+20}_{-14}$ 1, 3
LIBBY
2014
Repl. by EVANS 2016
$239$ ${}^{+32}_{-28}$ 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 $198$ ${}^{+14}_{-15}$ degree.
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 $\delta {}^{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ = ($227$ ${}^{+14}_{-17})^\circ{}$.
  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.) 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