${{\mathit D}^{\pm}}$ $\mathit CP$-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 $( ${{\mathit D}^{-}}$ $\rightarrow$ ${{\overline{\mathit f}}}$ )].

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

INSPIRE   PDGID:
S031A4
See also AAIJ 2014C for a search for $\mathit CP$ violation in ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{\pm}}$ Dalitz plots using model-independent binned and unbinned methods. No evidence was found.
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.5 \pm2.0 }$ OUR AVERAGE
$+1.2$ $\pm2.2$ $\pm0.6$ 2.6k
ABLIKIM
2022BG
 BES3 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 3.773 GeV
$-1.7$ $\pm4.2$ 1
AITALA
1997B
 E791 $-0.086<\mathit A_{\mathit CP}<+0.052$ (90$\%$ CL)
1  AITALA 1997B measure $\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$ )/$\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}$ ), the ratio of numbers of events observed, and similarly for the ${{\mathit D}^{-}}$.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ABLIKIM 2022BG
PR D106 092005 Absolute measurements of branching fractions of Cabibbo-suppressed hadronic D0(+) decays involving multiple pions
AITALA 1997B
PL B403 377 Search for $\mathit CP$ Violation in Charged ${{\mathit D}}$ Meson Decays