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

$\mathit A_{CP}$( ${{\mathit \mu}^{\pm}}{{\mathit \nu}}$ ) in ${{\mathit D}_{{s}}^{+}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \nu}}$ , ${{\mathit D}_{{s}}^{-}}$ $\rightarrow$ ${{\mathit \mu}^{-}}{{\overline{\mathit \nu}}_{{\mu}}}$

INSPIRE   PDGID:
S034A13
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ -0.2 \pm2.5 }$ OUR AVERAGE
$-1.2$ $\pm2.5$ $\pm1.0$ 2.2k
ABLIKIM
2021BE
BES3 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 4.178, 4.226 GeV
$4.8$ $\pm6.1$
ALEXANDER
2009
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 4170 MeV
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ABLIKIM 2021BE
PR D104 052009 Measurement of the absolute branching fractions for purely leptonic $D_s^+$ decays
ALEXANDER 2009
PR D79 052001 Measurement of B( ${{\mathit D}_{{s}}^{+}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \nu}}$ ) and the Decay Constant $\mathit f_{{{\mathit D}_{{s}}^{+}}}$ from 600$~\mathit pb{}^{-1}$ of ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Annihilation Data Near 4170$~$MeV