${{\mathit D}_{{s}}^{+}}−{{\mathit D}_{{s}}^{-}}$ $\mathit CP$-VIOLATING DECAY-RATE ASYMMETRIES

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

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

INSPIRE   PDGID:
S034A10
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.3 \pm0.4 }$ OUR AVERAGE
$0.8$ $\pm0.7$ $\pm0.5$ 38k
AAIJ
2021U
 LHCB ${{\mathit p}}{{\mathit p}}$ at 13 TeV
$0.2$ $\pm0.3$ $\pm0.3$ 22k
GUAN
2021
BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4,5S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$1.1$ $\pm3.0$ $\pm0.8$
ONYISI
2013
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 4.17 GeV
$-4.6$ $\pm2.9$ $\pm0.3$ 2.5k
MENDEZ
2010
CLEO See ONYISI 2013
$-8.2$ $\pm5.2$ $\pm0.8$
ALEXANDER
2008
CLEO See MENDEZ 2010
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
GUAN 2021
PR D103 112005 Measurement of branching fractions and $CP$ asymmetries for $D_s^{+} \rightarrow K^+ (\eta, \pi^0) $ and $D_s^{+} \rightarrow \pi^+ (\eta, \pi^0)$ decays at Belle
ONYISI 2013
PR D88 032009 Improved Measurement of Absolute Hadronic Branching Fractions of the ${{\mathit D}_{{s}}^{+}}$ Meson
MENDEZ 2010
PR D81 052013 Measurements of ${{\mathit D}}$ Meson Decays to Two Pseudoscalar Mesons
ALEXANDER 2008
PRL 100 161804 Absolute Measurement of Hadronic Branching Fractions of the ${{\mathit D}_{{s}}^{+}}$ Meson