${{\mathit D}_{{{s}}}^{+}}−{{\mathit D}_{{{s}}}^{-}}$ $\mathit CP$-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 $( ${{\mathit D}_{{{s}}}^{-}}$ $\rightarrow$ ${{\overline{\mathit f}}}$ )].

$\mathit A_{CP}$( ${{\mathit K}^{\pm}}{{\mathit K}_S^0}$ ) in ${{\mathit D}_{{{s}}}^{\pm}}$ $\rightarrow$ ${{\mathit K}^{\pm}}{{\mathit K}_S^0}$

INSPIRE  
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ (90 \pm260) \times 10^{-3} }$ OUR AVERAGE
$0.6$ $\pm2.8$ $\pm0.6$ 1.8k
ABLIKIM
2019AM
BES3 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 4178 MeV
$-0.05$ $\pm0.23$ $\pm0.24$ 288k 1
LEES
2013E
BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \Upsilon}{(4S)}}$
$2.6$ $\pm1.5$ $\pm0.6$
ONYISI
2013
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 4.17 GeV
$0.12$ $\pm0.36$ $\pm0.22$
KO
2010
BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$4.7$ $\pm1.8$ $\pm0.9$ 4.0k
MENDEZ
2010
CLEO See ONYISI 2013
$4.9$ $\pm2.1$ $\pm0.9$
ALEXANDER
2008
CLEO See MENDEZ 2010
1  LEES 2013E finds that after subtracting the contribution due to ${{\mathit K}^{0}}−{{\overline{\mathit K}}^{0}}$ mixing, the $\mathit CP$ asymmetry is ($+0.28$ $\pm0.23$ $\pm0.24)\%$.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ABLIKIM 2019AM
PR D99 112005 Study of the Decays $D_{s}^{+} \rightarrow K_{S}^{0}K^{+}$ and $K_{L}^{0}K^{+}$
LEES 2013E
PR D87 052012 Search for $\mathit CP$ Violation in the Decays ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{\pm}}$ , ${{\mathit D}_{{{s}}}^{\pm}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{\pm}}$ , and ${{\mathit D}_{{{s}}}^{\pm}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{\pm}}$
ONYISI 2013
PR D88 032009 Improved Measurement of Absolute Hadronic Branching Fractions of the ${{\mathit D}_{{{s}}}^{+}}$ Meson
KO 2010
PRL 104 181602 Search for $\mathit CP$ Violation in the Decays ${{\mathit D}_{{{{}(s)}}}}^{+}} \rightarrow {{\mathit K}_S^0} {{\mathit \pi}^{+}} and {{\mathit D}_{{{{}(s)}}}}^{+}} \rightarrow {{\mathit K}_S^0} {{\mathit K}^{+}}
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