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

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

$\mathit A_{\mathit CP}$( ${{\mathit \pi}^{\pm}}{{\mathit \eta}}$ ) in ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit \pi}^{\pm}}{{\mathit \eta}}$

INSPIRE   PDGID:
S031A12
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.3 \pm0.8 }$ OUR AVERAGE  Error includes scale factor of 1.2.
$-0.2$ $\pm0.8$ $\pm0.4$ 32.7k
AAIJ
2021U
 LHCB ${{\mathit p}}{{\mathit p}}$ at 13 TeV
$+1.74$ $\pm1.13$ $\pm0.19$
WON
2011
BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
$-2.0$ $\pm2.3$ $\pm0.3$ 2.9k
MENDEZ
2010
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 3774 MeV
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
AAIJ 2021U
JHEP 2106 019 Search for $CP$ violation in $D_{(s)}^{+}\rightarrow h^{+}\pi^{0}$ and $D_{(s)}^{+}\rightarrow h^{+}\eta$ decays
WON 2011
PRL 107 221801 Observation of ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \eta}^{{(')}}}$ and Search for $\mathit CP$ Violation in ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \eta}^{+}}{{\mathit \eta}^{{(')}}}$ Decays
MENDEZ 2010
PR D81 052013 Measurements of ${{\mathit D}}$ Meson Decays to Two Pseudoscalar Mesons