${{\mathit D}^{0}}$ $\mathit CP$-VIOLATING DECAY-RATE ASYMMETRIES

This is the difference between ${{\mathit D}^{0}}$ and ${{\overline{\mathit D}}^{0}}$ partial widths for the decay to state ${{\mathit f}}$, divided by the sum of the widths:$
$ $\mathit A_{CP}({{\mathit f}}$) = [$\Gamma $( ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit f}}$) $−$ $\Gamma $( ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\overline{\mathit f}}}$)] $/$ [$\Gamma $( ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit f}}$) + $\Gamma $( ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\overline{\mathit f}}}$)].

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

INSPIRE   PDGID:
S032A4
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.13 \pm0.14 }$ OUR AVERAGE
$0.07$ $\pm0.14$ $\pm0.11$ 1
AAIJ
2017M
 LHCB ${{\mathit p}}{{\mathit p}}$ 7, 8 TeV
$0.22$ $\pm0.24$ $\pm0.11$ 215k 2
AALTONEN
2012B
 CDF ${{\mathit p}}{{\overline{\mathit p}}}$, $\sqrt {s }$=1.96 TeV
$-0.24$ $\pm0.52$ $\pm0.22$ 63.7k 3
AUBERT
2008M
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}$ 10.6 GeV
$0.43$ $\pm0.52$ $\pm0.12$ 51k 4
STARIC
2008
BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
$1.0$ $\pm1.3$ $\pm0.6$ 5
ACOSTA
2005C
 CDF ${{\mathit p}}{{\overline{\mathit p}}}$, $\sqrt {s }$=1.96~TeV
$1.9$ $\pm3.2$ $\pm0.8$ 1136 5
CSORNA
2002
CLE2 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
$4.8$ $\pm3.9$ $\pm2.5$ 1177 5
LINK
2000B
 FOCS
$-4.9$ $\pm7.8$ $\pm3.0$ 343 5
AITALA
1998C
 E791 $-0.186<\mathit A_{\mathit CP}<+0.088$ (90$\%$ CL)
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.20$ $\pm0.19$ $\pm0.10$ 774k 2, 6
AAIJ
2014AK
 LHCB See AAIJ 2017M
1  AAIJ 2017M value combines ${{\mathit \Delta}}A_{CP}({{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\mathit K}}$) from AAIJ 2016D, A$_{CP}({{\mathit K}}{{\mathit K}}$) from AAIJ 2017M, and A$_{CP}({{\mathit \pi}}{{\mathit \pi}}$) from AAIJ 2014AK.
2  See also "${{\mathit D}^{0}}$ $\mathit CP$-violating asymmetry differences" at the end of the $\mathit CP$-violating asymmetries.
3  AUBERT 2008M uses corrected numbers of events directly, not ratios with ${{\mathit K}^{\mp}}{{\mathit \pi}^{\pm}}$ events.
4  STARIC 2008 uses ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ decays to correct for detector-induced asymmetries.
5  AITALA 1998C, LINK 2000B, CSORNA 2002, and ACOSTA 2005C measure $\mathit N$( ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}})/\mathit N$( ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$), the ratio of numbers of events observed, and similarly for the ${{\overline{\mathit D}}^{0}}$.
6  AAIJ 2014AK uses $\Delta \mathit A_{CP}({{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\mathit K}}$) and $\mathit A_{CP}({{\mathit K}}{{\mathit K}}$) reported in the same paper.
Conservation Laws:
$\mathit CP$ INVARIANCE
References