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.
S032AG
VALUE ($ 10^{-4} $) EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.89 \pm1.13}$ OUR EVALUATION
$\bf{ 0.9 \pm1.1}$ OUR AVERAGE
$1.3$ $\pm6.3$ $\pm2.4$ 3.8M 1
AAIJ
2024AF
 LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
$1.0$ $\pm1.1$ $\pm0.3$ 2
AAIJ
2021AI
 LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ , ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-3$ $\pm20$ $\pm7$ 3
STARIC
2016
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(nS)}}$
$-12$ $\pm12$ 1.8M 4
AALTONEN
2014Q
 CDF ${{\mathit p}}{{\overline{\mathit p}}}$, $\sqrt {s }$ = 1.96 TeV
$9$ $\pm26$ $\pm6$ 0.7M
LEES
2013
BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-59$ $\pm59$ $\pm21$ 5
AAIJ
2012K
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV, 2010 data.
• • • We do not use the following data for averages, fits, limits, etc. • • •
$2.3$ $\pm1.5$ $\pm0.3$ 1
AAIJ
2021AI
 LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$
$4.0$ $\pm2.8$ $\pm0.4$ 1
AAIJ
2021AI
 LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-4.4$ $\pm2.3$ $\pm0.6$ 21M 6
AAIJ
2020
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$
$2.5$ $\pm4.3$ $\pm0.7$ 7M 7
AAIJ
2020
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-3.0$ $\pm3.2$ $\pm1.0$ 9.6M 5
AAIJ
2017AK
 LHCB Repl. by AAIJ 2020
$4.6$ $\pm5.8$ $\pm1.2$ 3.0M 8
AAIJ
2017AK
 LHCB Repl. by AAIJ 2020
$-13.4$ $\pm7.7$ ${}^{+2.6}_{-3.4}$ 2.3M 9
AAIJ
2015AA
 LHCB Repl. by AAIJ 2020
$-9.2$ $\pm14.5$ ${}^{+2.5}_{-3.3}$ 0.8M 10
AAIJ
2015AA
 LHCB Repl. by AAIJ 2020
$-3.5$ $\pm6.2$ $\pm1.2$ 5
AAIJ
2014AL
 LHCB Repl. by AAIJ 2017AK
$3.3$ $\pm10.6$ $\pm1.4$ 8
AAIJ
2014AL
 LHCB Repl. by AAIJ 2017AK
$26$ $\pm36$ $\pm8$
AUBERT
2008U
 BABR See LEES 2013
$1$ $\pm30$ $\pm25$
STARIC
2007
BELL Repl. by STARIC 2016
$80$ $\pm60$ $\pm20$
AUBERT
2003P
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}$ ${{\mathit \Upsilon}{(4S)}}$
1  Requires ${{\mathit D}^{0}}$ to originate from ${{\mathit D}^{*}{(2010)}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$. Measures the parameter $\Delta {{\mathit Y}_{{{f}}}}$ $\simeq{}$ $−{{\mathit A}_{{{\Gamma}}}^{f}}$ up to 1$\%$ corrections from ${{\mathit y}_{{{CP}}}^{f}}$.
2  A combination of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ from AAIJ 2021AI, AAIJ 2020, AAIJ 2017AK and AAIJ 2015AA
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 ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays, combines measurements with ${{\mathit D}^{0}}$ either from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays or from ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$.
7  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 ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$.
8  Measured using ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$, ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays (and cc).
9  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays, with ${{\mathit D}^{0}}$ from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays.
10  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 2024AF
PRL 133 101803 Search for time-dependent $CP$ violation in $D^0 \rightarrow \pi^+ \pi^- \pi^0$ decays
AAIJ 2021AI
PR D104 072010 Search for time-dependent $CP$ violation in $D^0 \to K^+ K^-$ and $D^0 \to \pi^+ \pi^-$ decays
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 ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$