${{\mathit D}^{0}}$ $\mathit CP$-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 $( ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\overline{\mathit f}}}$ )].

$\mathit A_{CP}$( ${{\mathit \phi}}$ ( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ )$_{{\mathit S}{\mathrm -wave}}$) in ${{\mathit D}^{0}}$, ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit \phi}}$ ( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ )$_{{\mathit S}{\mathrm -wave}}$

INSPIRE   PDGID:
S032A69
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 6 \pm6 }$ OUR AVERAGE
$5.8$ $\pm6.1$ $\pm0.8$ 163k
AAIJ
2019C
 LHCB 4-body fit, ${{\mathit K}}{{\mathit K}}{{\mathit \pi}}{{\mathit \pi}}$ evts
$-4.0$ $\pm18.0$ $\pm44.6$ 3k 1
DARGENT
2017
4-body fit, ${{\mathit K}}{{\mathit K}}{{\mathit \pi}}{{\mathit \pi}}$ evts
• • We do not use the following data for averages, fits, limits, etc. • •
$-8.6$ $\pm10.4$ 3k 2
ARTUSO
2012
CLEO 4-body fit, ${{\mathit K}}{{\mathit K}}{{\mathit \pi}}{{\mathit \pi}}$ evts
1  Obtained by analyzing CLEO data but not authored by the CLEO Collaboration.
2  see DARGENT 2017
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
AAIJ 2019C
JHEP 1902 126 Search for $CP$ violation through an amplitude analysis of $D^0 \to K^+ K^- \pi^+ \pi^-$ decays
DARGENT 2017
JHEP 1705 143 Amplitude Analyses of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays
ARTUSO 2012
PR D85 122002 Amplitude Analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$