${{\mathit D}^{\pm}}$ $\mathit CP$-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
$\bf{ 0.3 \pm0.5 }$ OUR AVERAGE
$0.34$ $\pm0.66$ $\pm0.16$ $\pm0.05$ ~111k 1
AAIJ
2023E
 LHCB 6 fb${}^{-1}$, ${{\mathit p}}{{\mathit p}}$ at 13 TeV, ${{\mathit \eta}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \pi}}{{\mathit \pi}}$
$-0.2$ $\pm0.8$ $\pm0.4$ 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
1  The last uncertainty is due to the uncertainty on the $\mathit CP$ asymmetry of the control channel, ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \pi}^{+}}$.
Conservation Laws:
$\mathit CP$ INVARIANCE
References