# A$_{\Gamma }$ INSPIRE search

A$_{\Gamma }$ is the decay-rate asymmetry for $\mathit CP$-even final states A$_{\Gamma }$ = (${{\overline{\mathit \tau}}_{{+}}}−$ ${{\mathit \tau}_{{+}}}$) $/$ (${{\overline{\mathit \tau}}_{{+}}}+$ ${{\mathit \tau}_{{+}}}$). See the note on ${{\mathit D}^{0}}--{{\overline{\mathit D}}^{0}}$ Mixing'' above.
VALUE ($10^{-3}$) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ -0.125 \pm0.526}$ OUR EVALUATION
$\bf{ -0.31 \pm0.23}$ OUR AVERAGE  Error includes scale factor of 1.1.
$-0.44$ $\pm0.23$ $\pm0.06$ 21M 1
 2020
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$
$0.25$ $\pm0.43$ $\pm0.07$ 7M 2
 2020
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-0.3$ $\pm2.0$ $\pm0.7$ 3
 2016
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(nS)}}$
$-1.2$ $\pm1.2$ 1.8M 4
 2014 Q
CDF ${{\mathit p}}{{\overline{\mathit p}}}$ , $\sqrt {s }$ = 1.96 TeV
$0.9$ $\pm2.6$ $\pm0.6$ 0.7M
 2013
BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-5.9$ $\pm5.9$ $\pm2.1$ 5
 2012 K
LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV, 2010 data.
• • • We do not use the following data for averages, fits, limits, etc. • • •
$-0.30$ $\pm0.32$ $\pm0.10$ 9.6M 5
 2017 AK
LHCB Repl. by AAIJ 2020
$0.46$ $\pm0.58$ $\pm0.12$ 3.0M 6
 2017 AK
LHCB Repl. by AAIJ 2020
$-1.34$ $\pm0.77$ ${}^{+0.26}_{-0.34}$ 2.3M 7
 2015 AA
LHCB Repl. by AAIJ 2020
$-0.92$ $\pm1.45$ ${}^{+0.25}_{-0.33}$ 0.8M 8
 2015 AA
LHCB Repl. by AAIJ 2020
$-0.35$ $\pm0.62$ $\pm0.12$ 5
 2014 AL
LHCB Repl. by AAIJ 2017AK
$0.33$ $\pm1.06$ $\pm0.14$ 6
 2014 AL
LHCB Repl. by AAIJ 2017AK
$2.6$ $\pm3.6$ $\pm0.8$
 2008 U
BABR See LEES 2013
$0.1$ $\pm3.0$ $\pm2.5$
 2007
BELL Repl. by STARIC 2016
$8$ $\pm6$ $\pm2$
 2003 P
BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
1  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays, combines measurements with ${{\mathit D}^{0}}$ either from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays or from ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$ .
2  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays, combines measurements with ${{\mathit D}^{0}}$ either from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays or from ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$ .
3  An improved measurement of ${{\overline{\mathit D}}^{0}}−{{\mathit D}^{0}}$ mixing and a search for $\mathit CP$ violation in ${{\mathit D}^{0}}$ decays to $\mathit CP$-even final states ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ using the final Belle data sample of 976 fb${}^{-1}$.
4  Combined result from ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ , with ${{\mathit D}^{0}}$ from ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$ (and cc).
5  Measured using ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$ , ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays (and cc).
6  Measured using ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$ , ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays (and cc).
7  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays, with ${{\mathit D}^{0}}$ from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays.
8  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays, with ${{\mathit D}^{0}}$ from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays.
Conservation Laws:
 $\mathit CP$ INVARIANCE
References:
 AAIJ 2020
PR D101 012005 Updated measurement of decay-time-dependent CP asymmetries in $D^0 \to K^+K^-$ and $D^0 \to \pi^+\pi^-$ decays
 AAIJ 2017AK
PRL 118 261803 Measurement of the $\mathit CP$ Violation Parameter $\mathit A_{\Gamma }$ in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays
 STARIC 2016
PL B753 412 Measurement of ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing and Search for $\mathit CP$ Violation in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ , ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays with the Full Belle Data Set
 AAIJ 2015AA
JHEP 1504 043 Measurement of Indirect $\mathit CP$ Asymmetries in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit K}^{+}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$ Decays using Semileptonic ${{\mathit B}}$ Decays
 AAIJ 2014AL
PRL 112 041801 Measurements of Indirect $\mathit CP$ Asymmetries in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit K}^{+}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$ Decays
 AALTONEN 2014Q
PR D90 111103 Measurement of Indirect $\mathit CP$-Violating Asymmetries in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays at CDF
 LEES 2013
PR D87 012004 Measurement of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing and $\mathit CP$ Violation in Two-Body ${{\mathit D}^{0}}$ Decays
 AAIJ 2012K
JHEP 1204 129 Measurement of Mixing and $\mathit CP$ Violation Parameters in Two-Body Charm Decays
 AUBERT 2008U
PR D78 011105 Measurement of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing using the Ratio of Lifetimes for the Decays ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ , ${{\mathit K}^{-}}{{\mathit K}^{+}}$ , and ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$
 STARIC 2007
PRL 98 211803 Evidence for ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing
 AUBERT 2003P
PRL 91 121801 Limits on ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ Mixing and $\mathit CP$ Violation from the Ratio of Lifetimes for Decay to ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ , ${{\mathit K}^{-}}{{\mathit K}^{+}}$ and ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$