$\mathit CP$ VIOLATION

$\mathit A_{CP}$ is defined as
${B( {{\mathit B}^{-}} \rightarrow {{\overline{\mathit f}}} )–B( {{\mathit B}^{+}} \rightarrow {{\mathit f}} )\over B( {{\mathit B}^{-}} \rightarrow {{\overline{\mathit f}}} )+B( {{\mathit B}^{+}} \rightarrow {{\mathit f}} )}$,
the $\mathit CP$-violation charge asymmetry of exclusive ${{\mathit B}^{-}}$ and ${{\mathit B}^{+}}$ decay.

$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}^{+}}$ )

INSPIRE   PDGID:
S041AX6
VALUE DOCUMENT ID TECN  COMMENT
$\bf{ -0.04 \pm0.05}$ OUR AVERAGE
$-0.048$ $\pm0.065$ $\pm0.038$ 1
AAIJ
2020A
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV
$-0.02$ $\pm0.08$ $\pm0.01$
AUBERT
2007AE
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-0.02$ $\pm0.09$ $\pm0.01$
JEN
2006
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-0.34$ $\pm0.25$ 2
CHEN
2000
CLE2 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.01$ $\pm0.10$ $\pm0.01$
AUBERT,B
2006E
 BABR Repl. by AUBERT 2007AE
$0.03$ $\pm0.16$ $\pm0.01$
AUBERT
2004H
 BABR Repl. by AUBERT,B 2006E
$0.50$ ${}^{+0.23}_{-0.20}$ $\pm0.02$ 3
WANG
2004A
 BELL Repl. by JEN 2006
$-0.01$ ${}^{+0.29}_{-0.31}$ $\pm0.03$ 4
AUBERT
2002E
 BABR Repl. by AUBERT 2004H
1  This result is obtained with an amplitude analysis of ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays, using the isobar model within the mass range 1.0 $<$ m( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) $<$ 1.5 GeV to describe the ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ${\mathit S}{\mathrm -wave}$ contribution.
2  Corresponds to 90$\%$ confidence range $-0.75<\mathit A_{\mathit CP}<0.07$.
3  Corresponds to 90$\%$ CL interval -0.25$<{{\mathit A}_{{CP}}}<$0.41
4  Corresponds to 90$\%$ confidence range $-0.50<\mathit A_{\mathit CP}<0.46$.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
AAIJ 2020A
PRL 124 031801 Observation of Several Sources of $CP$ Violation in $B^+ \to \pi^+ \pi^+ \pi^-$ Decays
Also
PR D101 012006 Amplitude analysis of the $B^+ \rightarrow \pi^+\pi^+\pi^-$ decay
AUBERT 2007AE
PR D76 031103 Branching Fraction and $\mathit CP$-Violation Charge Asymmetry Measurements for ${{\mathit B}}$-Meson Decays to ${{\mathit \eta}}{{\mathit K}^{\pm}}$ , ${{\mathit \eta}}{{\mathit \pi}^{\pm}}$ , ${{\mathit \eta}^{\,'}}{{\mathit K}}$ , ${{\mathit \eta}^{\,'}}{{\mathit \pi}^{\pm}}$ , ${{\mathit \omega}}{{\mathit K}}$ , and ${{\mathit \omega}}{{\mathit \pi}^{\pm}}$
AUBERT,B 2006E
PR D74 011106 Measurements of $\mathit CP$-Violating Asymmetries and Branching Fractions in ${{\mathit B}}$ Decays to ${{\mathit \omega}}{{\mathit K}}$ and ${{\mathit \omega}}{{\mathit \pi}}$
JEN 2006
PR D74 111101 Improved Measurements of Branching Fractions and $\mathit CP$ Partial Rate Asymmetries for ${{\mathit B}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit K}}$ and ${{\mathit B}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}}$
AUBERT 2004H
PRL 92 061801 Observation of ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit K}^{0}}$ , ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit \pi}^{+}}$ , and ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit K}^{+}}$ and Study of Related Decays
WANG 2004A
PR D70 012001 Measurement of the Branching Fractions for ${{\mathit B}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit K}}$ and ${{\mathit B}}$ $\rightarrow$ ${{\mathit \omega}}{{\mathit \pi}}$
AUBERT 2002E
PR D65 051101 Direct $\mathit CP$ Violation Searches in Charmless Hadronic ${{\mathit B}}$ Meson Decays
CHEN 2000
PRL 85 525 Measurement of Charge Asymmetries in Charmless Hadronic in ${{\mathit B}}$ Meson Decays