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

$\mathit A_{CP}$( ${{\mathit K}_{{1}}{(1400)}^{+}}$ ${{\mathit K}^{-}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_{{1}}{(1400)}^{+}}{{\mathit K}^{-}}$ , ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ c.c.

INSPIRE   PDGID:
S032A99
Including the full ${{\mathit K}_{{1}}{(1400)}^{+}}$ phase space accessible in this decay chain, with its various resonance contributions.
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ -4.4 \pm2.1 }$ OUR AVERAGE
$-4.5$ $\pm2.1$ $\pm0.3$ 163k
AAIJ
2019C
 LHCB 4-body fit, ${{\mathit K}}{{\mathit K}}{{\mathit \pi}}{{\mathit \pi}}$ evts
$9.2$ $\pm15.2$ $\pm20.3$ 2.9k 1
DARGENT
2017
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.
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