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

$\mathit A_{\mathit CP}$( ${{\mathit K}_S^0}$ ${{\mathit \pi}^{\pm}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) in ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ , ${{\mathit D}^{-}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$

INSPIRE   PDGID:
S031A04
VALUE (%) DOCUMENT ID TECN  COMMENT
$0.0$ $\pm1.2$ $\pm0.3$
BONVICINI
2014
CLEO All CLEO-c runs
• • We do not use the following data for averages, fits, limits, etc. • •
$0.1$ $\pm1.1$ $\pm0.6$
DOBBS
2007
CLEO See BONVICINI 2014
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
BONVICINI 2014
PR D89 072002 Updated Measurements of Absolute ${{\mathit D}^{+}}$ and ${{\mathit D}^{0}}$ Hadronic Branching Fractions and $\sigma\mathrm {( {{\mathit e}^{+}} {{\mathit e}^{-}} \rightarrow {{\mathit D}} {{\overline{\mathit D}}} )}$ at $\mathit E_{{\mathrm {cm}}}$ = 3774 MeV
DOBBS 2007
PR D76 112001 Measurement of Absolute Hadronic Branching Fractions of ${{\mathit D}}$ Mesons and ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}}{{\overline{\mathit D}}}$ Cross Sections at the ${{\mathit \psi}{(3770)}}$