${{\boldsymbol D}^{0}}$ $\rightarrow$ ${{\boldsymbol K}^{-}}{{\boldsymbol \pi}^{-}}$2 ${{\boldsymbol \pi}^{+}}$ AVERAGE RELATIVE STRONG PHASE $\delta {}^{ {{\boldsymbol K}}3 {{\boldsymbol \pi}} }$ 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.
VALUE ($^\circ{}$) DOCUMENT ID TECN  COMMENT
$125$ ${}^{+22}_{-14}$ 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. • • •
$255$ ${}^{+21}_{-78}$ 1, 3
LIBBY
2014
Repl. by EVANS 2016
$118$ ${}^{+62}_{-53}$ 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}^{-}}$2 ${{\mathit \pi}^{+}}$ final states depend on $\mathit R_{ {{\mathit K}}3 {{\mathit \pi}} }$ and $\delta {}^{ {{\mathit K}}3 {{\mathit \pi}} }$.
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 ($128$ ${}^{+28}_{-17})^\circ{}$.
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}^{-}}$2 ${{\mathit \pi}^{+}}$ final states depend on $\mathit R_{ {{\mathit K}}3 {{\mathit \pi}} }$ and $\delta {}^{ {{\mathit K}}3 {{\mathit \pi}} }$. A fit that includes external measurements of charm mixing parameters gets $\delta {}^{ {{\mathit K}}3 {{\mathit \pi}} }$ = ($114$ ${}^{+26}_{-23})^\circ{}$.
  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