${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{+}}$ AVERAGE RELATIVE STRONG PHASE $\delta {}^{{{\mathit K}}3 {{\mathit \pi}}}$

INSPIRE   PDGID:
S032SP2
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 ($^\circ{}$) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 149 {}^{+26}_{-16}}$ OUR AVERAGE  Error includes scale factor of 1.4.
$167$ ${}^{+31}_{-19}$ 8.6k 1
ABLIKIM
2021AA
BES3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at ${{\mathit \psi}{(3770)}}$
$125$ ${}^{+22}_{-14}$ 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