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

$\mathit A_{\mathit CP}$( ${{\mathit \phi}}{{\mathit \pi}^{\pm}}$ ) in ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \pi}^{\pm}}$

INSPIRE   PDGID:
S031A3
VALUE (%) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.01 \pm0.09 }$ OUR AVERAGE  Error includes scale factor of 1.8.
$0.003$ $\pm0.040$ $\pm0.029$ 55M
AAIJ
2019T
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV
$-0.3$ $\pm0.3$ $\pm0.5$ 97k 1
LEES
2013F
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \Upsilon}{(4S)}}$
$+0.51$ $\pm0.28$ $\pm0.05$ 237k
STARIC
2012
BELL Mainly at ${{\mathit \Upsilon}{(4S)}}$
$-1.8$ $\pm1.6$ ${}^{+0.2}_{-0.4}$
RUBIN
2008
CLEO Fit-fraction asymmetry
$+0.2$ $\pm1.5$ $\pm0.6$ 10k 2
AUBERT
2005S
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \Upsilon}{(4S)}}$
$-2.8$ $\pm3.6$ 3
AITALA
1997B
 E791 $-0.087<\mathit A_{\mathit CP}<+0.031$ (90$\%$ CL)
$+6.6$ $\pm8.6$ 3
FRABETTI
1994I
 E687 $-0.075<\mathit A_{\mathit CP}<+0.21$ (90$\%$ CL)
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.04$ $\pm0.14$ $\pm0.14$ 1.58M 4
AAIJ
2013W
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV
1  This LEES 2013F result is for the ${{\mathit K}^{+}}{{\mathit K}^{-}}$ mass-squared less than 1.3 GeV${}^{2}$ and the ${{\mathit K}^{\mp}}{{\mathit \pi}^{\pm}}$ mass-squared above 1.0 GeV${}^{2}$, and does not actually separate out the ${{\mathit \phi}}$.
2  AUBERT 2005S measures $\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \pi}^{+}}$ )/$\mathit N$( ${{\mathit D}_{{s}}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}$ ), the ratio of the numbers of events observed, and similarly for the ${{\mathit D}^{-}}$.
3  FRABETTI 1994I and AITALA 1997B measure $\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \pi}^{+}}$ )/$\mathit N$( ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}$ ), the ratio of numbers of events observed, and similarly for the ${{\mathit D}^{-}}$.
4  See AAIJ 2019T.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
AAIJ 2019T
PRL 122 191803 Search for $CP$ violation in $D_s^+\to K_S^0 \pi^+$, $D^+\to K_S^0 K^+$ and $D^+\to \phi \pi^+$ decays
AAIJ 2013W
JHEP 1306 112 Search for $\mathit CP$ Violation in ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \pi}^{+}}$ and ${{\mathit D}_{{s}}^{+}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}$ Decays
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
STARIC 2012
PRL 108 071801 Search for $\mathit CP$ Violation in D Meson Decays to ${{\mathit \phi}}{{\mathit \pi}^{+}}$
RUBIN 2008
PR D78 072003 Search for $\mathit CP$ Violation in the Dalitz-Plot Analysis of ${{\mathit D}^{\pm}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{\pm}}$
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
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