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

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

INSPIRE   PDGID:
S031A5
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ -0.41 \pm0.09 }$ OUR AVERAGE
$-1.1$ $\pm0.6$ $\pm0.2$
BONVICINI
2014
CLEO All CLEO-c runs
$-0.363$ $\pm0.094$ $\pm0.067$ 1738k 1
KO
2012A
 BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(nS)}}$
$-0.44$ $\pm0.13$ $\pm0.10$ 807k
DEL-AMO-SANCH..
2011H
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
$-1.6$ $\pm1.5$ $\pm0.9$ 10.6k 2
LINK
2002B
 FOCS ${{\mathit \gamma}}$ nucleus, ${{\overline{\mathit E}}}_{\gamma }\approx{}$180 GeV
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.71$ $\pm0.19$ $\pm0.20$
KO
2010
BELL See KO 2012A
$-1.3$ $\pm0.7$ $\pm0.3$ 30k
MENDEZ
2010
CLEO See BONVICINI 2014
$-0.6$ $\pm1.0$ $\pm0.3$
DOBBS
2007
CLEO See MENDEZ 2010
1  KO 2012A finds that after subtracting the contribution due to ${{\mathit K}^{0}}−{{\overline{\mathit K}}^{0}}$ mixing, the $\mathit CP$ asymmetry due to the change of charm is ($-0.024$ $\pm0.094$ $\pm0.067)\%$, consistent with zero.
2  LINK 2002B measures $\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$ )/$\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}$ ), the ratio of numbers of events observed, and similarly for the ${{\mathit D}^{-}}$.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
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
KO 2012A
PRL 109 119903 (errat.) Erratum KO 2012 : Evidence for CP Violation in the Decay ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$
Also
PRL 109 021601 Evidence for $\mathit CP$ Violation in the Decay ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$
DEL-AMO-SANCHEZ 2011H
PR D83 071103 Search for $\mathit CP$ Violation in the Decay ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{\pm}}$
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
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 ${{\mathit \psi}{(3770)}}$
LINK 2002B
PRL 88 041602 Search for $\mathit CP$ Violation in the Decays ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$ and ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}$
Also
PRL 88 159903 (errat.) Erratum: LINK 2002B Search for $\mathit CP$ Violation in the Decays ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$ and ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}$