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

$\mathit A_{CP}$( ${{\mathit \sigma}}$ ${{\mathit \rho}{(770)}^{0}}$ $\rightarrow$ 2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$ ) in ${{\mathit D}^{0}}$ , ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit \sigma}}{{\mathit \rho}{(770)}^{0}}$

INSPIRE   PDGID:
S032A93
VALUE (%) EVTS DOCUMENT ID  COMMENT
$2.5$ $\pm16.8$ $\pm20.8$ 7.3k 1
DARGENT
2017
4-body fit, 4${{\mathit \pi}}$ evts
1  Obtained by analyzing CLEO-c data but not authored by the CLEO Collaboration.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
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