A$_{\Gamma }$

INSPIRE   PDGID:
S032AG
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
$\bf{ (89 \pm113) \times 10^{-3}}$ OUR EVALUATION  See the ideogram below.
$\bf{ 0.09 \pm0.17}$ OUR AVERAGE  Error includes scale factor of 1.5.  See the ideogram below.
$0.23$ $\pm0.15$ $\pm0.03$ 1
AAIJ
2021AI
 LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$
$0.40$ $\pm0.28$ $\pm0.04$ 1
AAIJ
2021AI
 LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-0.44$ $\pm0.23$ $\pm0.06$ 21M 2
AAIJ
2020
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$
$0.25$ $\pm0.43$ $\pm0.07$ 7M 3
AAIJ
2020
LHCB ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$-0.3$ $\pm2.0$ $\pm0.7$ 4
STARIC
2016
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(nS)}}$
$-1.2$ $\pm1.2$ 1.8M 5
AALTONEN
2014Q
 CDF ${{\mathit p}}{{\overline{\mathit p}}}$, $\sqrt {s }$ = 1.96 TeV
$0.9$ $\pm2.6$ $\pm0.6$ 0.7M
LEES
2013
BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$-5.9$ $\pm5.9$ $\pm2.1$ 6
AAIJ
2012K
 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 6
AAIJ
2017AK
 LHCB Repl. by AAIJ 2020
$0.46$ $\pm0.58$ $\pm0.12$ 3.0M 7
AAIJ
2017AK
 LHCB Repl. by AAIJ 2020
$-1.34$ $\pm0.77$ ${}^{+0.26}_{-0.34}$ 2.3M 8
AAIJ
2015AA
 LHCB Repl. by AAIJ 2020
$-0.92$ $\pm1.45$ ${}^{+0.25}_{-0.33}$ 0.8M 9
AAIJ
2015AA
 LHCB Repl. by AAIJ 2020
$-0.35$ $\pm0.62$ $\pm0.12$ 6
AAIJ
2014AL
 LHCB Repl. by AAIJ 2017AK
$0.33$ $\pm1.06$ $\pm0.14$ 7
AAIJ
2014AL
 LHCB Repl. by AAIJ 2017AK
$2.6$ $\pm3.6$ $\pm0.8$
AUBERT
2008U
 BABR See LEES 2013
$0.1$ $\pm3.0$ $\pm2.5$
STARIC
2007
BELL Repl. by STARIC 2016
$8$ $\pm6$ $\pm2$
AUBERT
2003P
 BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}{{\mathit \Upsilon}{(4S)}}$
1  Requires ${{\mathit D}^{0}}$ to originate from ${{\mathit D}^{*}{(2010)}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$. AAIJ 2021AI measures the parameter $\Delta {{\mathit Y}_{{{f}}}}$ $\simeq{}$ $−{{\mathit A}_{{{\Gamma}}}^{f}}$ up to 1$\%$ corrections from ${{\mathit y}_{{{CP}}}^{f}}$.
2  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 ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$.
3  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 ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$.
4  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${}^{-1}$.
5  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).
6  Measured using ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$, ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays (and cc).
7  Measured using ${{\mathit D}^{*+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \pi}^{+}}$, ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays (and cc).
8  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays, with ${{\mathit D}^{0}}$ from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays.
9  Measured using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays, with ${{\mathit D}^{0}}$ from partially reconstructed semileptonic ${{\mathit B}}$ hadron decays.

           A$_{\Gamma }$ ($ 10^{-3} $)
Conservation Laws:
$\mathit CP$ INVARIANCE
References