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

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

INSPIRE   PDGID:
S034A12
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 3.7 \pm2.7 }$ OUR AVERAGE
$3.3$ $\pm3.0$ $\pm1.3$ 1.3k
ABLIKIM
2022AC
BES3 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at $4.178 - 4.226$ GeV
$4.5$ $\pm4.8$ $\pm0.6$
ONYISI
2013
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 4.17 GeV
• • We do not use the following data for averages, fits, limits, etc. • •
$11.2$ $\pm7.0$ $\pm0.9$
ALEXANDER
2008
CLEO See ONYISI 2013
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ABLIKIM 2022AC
JHEP 2208 196 Amplitude analysis and branching fraction measurement of the decay $D_{s}^{+} \to K^+\pi^+\pi^-$
ONYISI 2013
PR D88 032009 Improved Measurement of Absolute Hadronic Branching Fractions of the ${{\mathit D}_{{s}}^{+}}$ Meson
ALEXANDER 2008
PRL 100 161804 Absolute Measurement of Hadronic Branching Fractions of the ${{\mathit D}_{{s}}^{+}}$ Meson