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

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

INSPIRE   PDGID:
S031A1
See also AAIJ 2011G for a search for $\mathit CP$ asymmetry in the ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{\pm}}$ Dalitz plots using 370k decays and four different binning schemes. No evidence for $\mathit CP$ asymmetry was found.
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.37 \pm0.29 }$ OUR AVERAGE
$0.37$ $\pm0.30$ $\pm0.15$ 224k 1
LEES
2013F
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \Upsilon}{(4S)}}$
$-0.03$ $\pm0.84$ $\pm0.29$
RUBIN
2008
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 3774 MeV
$1.4$ $\pm1.0$ $\pm0.8$ 43k 2
AUBERT
2005S
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \Upsilon}{(4S)}}$
$0.6$ $\pm1.1$ $\pm0.5$ 14k 3
LINK
2000B
 FOCS
$-1.4$ $\pm2.9$ 3
AITALA
1997B
 E791 $-0.062<\mathit A_{\mathit CP}<+0.034$ (90$\%$ CL)
$-3.1$ $\pm6.8$ 3
FRABETTI
1994I
 E687 $-0.14<\mathit A_{\mathit CP}<+0.081$ (90$\%$ CL)
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.1$ $\pm0.9$ $\pm0.4$ 4
BONVICINI
2014
CLEO See RUBIN 2008
$-0.1$ $\pm1.5$ $\pm0.8$
DOBBS
2007
CLEO See BONVICINI 2014 and RUBIN 2008
1  This is the integrated $\mathit CP$ asymmetry. LEES 2013F also searches for $\mathit CP$ asymmetries in four regions of the Dalitz plots (two of which are listed below); in comparisons of binned ${{\mathit D}^{+}}$ and ${{\mathit D}^{-}}$ Dalitz plots; in parametrized fits to those plots, including 2-body submodes; and in comparisons of Legendre-polynomial distributions for the ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ systems.
2  AUBERT 2005S measures $\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}$ )/$\mathit N$( ${{\mathit D}_{{s}}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}$ ), the ratio of the numbers of events observed, and similarly for the ${{\mathit D}^{-}}$.
3  FRABETTI 1994I, AITALA 1998C, and LINK 2000B measure $\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit \pi}^{+}}$ )/$\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}$ ), the ratio of numbers of events observed, and similarly for the ${{\mathit D}^{-}}$.
4  RUBIN 2008 performs a dedicated analysis of this decay mode on the same dataset, with slightly better precision. We therefore take it that BONVICINI 2014 does not supersede RUBIN 2008 's $\mathit A_{CP}$ result.
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
LEES 2013F
PR D87 052010 Search for Direct $\mathit CP$ Violation in Singly Cabibbo-Suppressed ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{\pm}}$ Decays
RUBIN 2008
PR D78 072003 Search for $\mathit CP$ Violation in the Dalitz-Plot Analysis of ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{\pm}}$
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 ${{\mathit \psi}{(3770)}}$
AUBERT 2005S
PR D71 091101 Search for $\mathit CP$ Violation and a Measurement of the Relative Branching Fraction in ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit K}^{+}}{{\mathit \pi}^{+}}$ Decays
LINK 2000B
PL B491 232 Search for $\mathit CP$ Violation in ${{\mathit D}^{0}}$ and ${{\mathit D}^{+}}$ Decays
Also
PL B495 443 (errat.) Erratum: LINK 2000B Search for $\mathit CP$ Violation in ${{\mathit D}^{0}}$ and ${{\mathit D}^{+}}$ Decays
AITALA 1997B
PL B403 377 Search for $\mathit CP$ Violation in Charged ${{\mathit D}}$ Meson Decays
FRABETTI 1994I
PR D50 2953 Search for $\mathit CP$ Violation in Charm Meson Decay