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

$\mathit A_{CP}$( ${{\mathit K}^{\mp}}{{\mathit \pi}^{\pm}}{{\mathit \pi}^{0}}$ ) in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ , ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$

INSPIRE   PDGID:
S032A6
VALUE (%) DOCUMENT ID TECN  COMMENT
$\bf{ 0.1 \pm0.5 }$ OUR AVERAGE
$0.1$ $\pm0.3$ $\pm0.4$
BONVICINI
2014
CLEO All CLEO-c runs
$-3.1$ $\pm8.6$ 1
KOPP
2001
CLE2 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}$ $10.6$ GeV
• • We do not use the following data for averages, fits, limits, etc. • •
$0.2$ $\pm0.4$ $\pm0.8$
DOBBS
2007
CLEO See BONVICINI 2014
1  KOPP 2001 fits separately the ${{\mathit D}^{0}}$ and ${{\overline{\mathit D}}^{0}}$ Dalitz plots and then calculates the integrated difference of normalized densities divided by the integrated sum.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
BONVICINI 2014
PR D89 072002 Updated Measurements of Absolute ${{\mathit D}^{+}}$ and ${{\mathit D}^{0}}$ Hadronic Branching Fractions and $\sigma\mathrm {( {{\mathit e}^{+}} {{\mathit e}^{-}} \rightarrow {{\mathit D}} {{\overline{\mathit D}}} )}$ at $\mathit E_{{\mathrm {cm}}}$ = 3774 MeV
DOBBS 2007
PR D76 112001 Measurement of Absolute Hadronic Branching Fractions of ${{\mathit D}}$ Mesons and ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}}{{\overline{\mathit D}}}$ Cross Sections at the ${{\mathit \psi}{(3770)}}$
KOPP 2001
PR D63 092001 Dalitz Analysis of the Decay ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$