${{\mathit D}^{0}}$ $\mathit CP$-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 $( ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\overline{\mathit f}}}$ )].

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

INSPIRE   PDGID:
S032A5
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ -0.9 \pm1.4 }$ OUR AVERAGE
$-1.7$ $\pm1.6$ 1, 2
AAIJ
2017AO
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7,8 TeV
$-2.1$ $\pm5.2$ $\pm1.5$ 4.0k
AUBERT
2007W
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}$ 10.6 GeV
$+2.3$ $\pm4.7$ 4.0k 3
ZHANG
2006
BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$
$+18$ $\pm14$ $\pm4$ 4
LINK
2005H
 FOCS ${{\mathit \gamma}}$ nucleus
$+9.5$ $\pm6.1$ $\pm8.3$ 5
AUBERT
2003Z
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , 10.6~GeV
$+2$ ${}^{+19}_{-20}$ $\pm1$ 45 6
GODANG
2000
CLE2 ${{\mathit e}^{+}}{{\mathit e}^{-}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.7$ $\pm1.9$ 1
AAIJ
2013CE
 LHCB Repl. by AAIJ 2017AO
$-8.0$ $\pm7.7$ 0.8k 7
LI
2005A
 BELL See ZHANG 2006
1  Based on 3 fb${}^{-1}$ of data collected at $\sqrt {s }$ = 7, 8 TeV. Allowing for $\mathit CP$ violation, the direct $\mathit CP$-violation in mixing is reported for the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ .
2  The $\mathit CPV$ is derived from $\mathit A_{CP}$ = (R${}^{+}_{D}$ $−$ R${}^{-}_{D})/(R{}^{+}_{D}$ + R${}^{-}_{D}$).
3  This ZHANG 2006 result allows mixing.
4  This LINK 2005H result assumes no mixing. If mixing is allowed, it becomes $0.13$ ${}^{+0.33}_{-0.25}$ $\pm0.10$.
5  This AUBERT 2003Z limit assumes no mixing. If mixing is allowed, the 95$\%$ confidence-level interval is ($\text{-}$2.8~$<{{\mathit A}}_{D}<$~4.9)${\times }10{}^{-3}$.
6  This GODANG 2000 result assumes no ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing and becomes $-0.43<\mathit A_{\mathit CP}<+0.34$ at 95$\%$ CL. If mixing is allowd $\mathit A_{\mathit CP}$ = $-0.01$ ${}^{+0.16}_{-0.17}$ $\pm0.01$.
7  This LI 2005A result allows mixing.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
AAIJ 2017AO
PR D95 052004 Measurements of Charm Mixing and $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{\pm}}{{\mathit \pi}^{\mp}}$ Decays
Also
PR D96 099907 (errat.) Erratum to AAIJ 2017AO: Measurements of Charm Mixing and $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{\pm}}{{\mathit \pi}^{\mp}}$ Decays
AAIJ 2013CE
PRL 111 251801 Measurement of ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing Parameters and Search for $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays
AUBERT 2007W
PRL 98 211802 Evidence for ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing
ZHANG 2006
PRL 96 151801 Improved Constraints on ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays from the Belle Detector
LI 2005A
PRL 94 071801 Search for ${{\mathit D}^{0}}\leftrightarrow{{\overline{\mathit D}}^{0}}$ Mixing in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays and Measurement of the Doubly-Cabibbo-Suppressed Decay Rate
LINK 2005H
PL B618 23 Measurement of the Doubly Cabibbo Suppressed Decay ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and a Search for Charm Mixing
AUBERT 2003Z
PRL 91 171801 Search for ${{\mathit D}^{0}}\leftrightarrow{{\overline{\mathit D}}^{0}}$ Nixing and a Measurement of the Doubly Cabibbo Suppressed Decay Rate in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}}{{\mathit \pi}}$ Decays
GODANG 2000
PRL 84 5038 Search for ${{\mathit D}^{0}}$ $\leftrightarrow$ ${{\overline{\mathit D}}^{0}}$ Mixing