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

INSPIRE   PDGID:

S032SP1

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 $\bf{ 198 \pm10}$ OUR AVERAGE $196$ ${}^{+14}_{-15}$ 62.4k 1 ABLIKIM 2021 AA 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 $\delta {}^{{{\mathit K}} {{\mathit \pi}} {{\mathit \pi}^{0}}}$ = ($227$ ${}^{+14}_{-17})^\circ{}$.

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