${{\mathit D}^{0}}$ $\mathit CP$-VIOLATING DECAY-RATE ASYMMETRIES

This is the difference between ${{\mathit D}^{0}}$ and ${{\overline{\mathit D}}^{0}}$ partial widths for the decay to state ${{\mathit f}}$, divided by the sum of the widths:$
$ $\mathit A_{CP}({{\mathit f}}$) = [$\Gamma $( ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit f}}$ ) $−$ $\Gamma $( ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\overline{\mathit f}}}$ )] $/$ [$\Gamma $( ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit f}}$ ) + $\Gamma $( ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\overline{\mathit f}}}$ )].

$\mathit A_{CP}$( ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ ) in ${{\mathit D}}_{CP(\pm1)}$ $\rightarrow$ ${{\mathit K}^{\mp}}{{\mathit \pi}^{\pm}}$

INSPIRE   PDGID:
S032A72
$\mathit A_{CP}$( ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ ) = [B(${{\mathit D}}_{CP(−)}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ ) $−$ B(${{\mathit D}}_{CP(+)}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ )] $/$ Sum
VALUE (%) DOCUMENT ID TECN  COMMENT
$\bf{ 13.1 \pm1.0 }$ OUR AVERAGE
$13.2$ $\pm1.1$ $\pm0.7$ 1
ABLIKIM
2022BM
 BES3 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \psi}{(3770)}}$
$13.0$ $\pm1.2$ $\pm0.8$ 2
ABLIKIM
2022BM
 BES3 ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ reference
• • We do not use the following data for averages, fits, limits, etc. • •
$12.7$ $\pm1.3$ $\pm0.7$ 3
ABLIKIM
2014C
 BES3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ , 3.77 GeV
1  ABLIKIM 2022B uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$ to measure the asymmetry of the branching fraction of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ in $\mathit CP$-odd and $\mathit CP$-even eigenstates. It then extracts the strong-phase difference ${{\mathit \delta}}_{ {{\mathit K}} {{\mathit \pi}} }$.
2  ABLIKIM 2022B uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$ to measure the asymmetry of the branching fraction of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ in $\mathit CP$-odd and $\mathit CP$-even eigenstates, using the predominantly CP-even decay ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ mode as reference. It then extracts the strong-phase difference ${{\mathit \delta}}_{ {{\mathit K}} {{\mathit \pi}} }$.
3  ABLIKIM 2014C uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$ to measure the asymmetry of the branching fraction of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ in $\mathit CP$-odd and $\mathit CP$-even eigenstates. It then extracts the strong-phase difference ${{\mathit \delta}}_{ {{\mathit K}} {{\mathit \pi}} }$. Superseded by ABLIKIM 2022BM.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ABLIKIM 2022BM
EPJ C82 1009 Improved measurement of the strong-phase difference $\delta _D^{K\pi }$ in quantum-correlated $D{\bar{D}}$ decays
ABLIKIM 2014C
PL B734 227 Measurement of the ${{\mathit D}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ Strong Phase Difference in ${{\mathit \psi}{(3770)}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$