$\mathit CP$ impurity in ${{\mathit B}_{{s}}^{0}}$ system.

“OUR EVALUATION” is an average obtained by the Heavy Flavor Averaging Group (HFLAV, https://hflav.web.cern.ch/) and described at https://hflav.web.cern.ch/. It is the result of a fit to ${{\mathit B}_{{d}}}$ and ${{\mathit B}_{{s}}}$ $\mathit CP$ asymmetries, which includes the ${{\mathit B}_{{s}}}$ measurements listed below and the ${{\mathit B}_{{d}}}$ measurements listed in the ${{\mathit B}_{{d}}}$ section, and takes into account correlations between those measurements.

VALUE ($ 10^{-3} $) DOCUMENT ID TECN  COMMENT $\bf{ -0.15 \pm0.70}$ OUR EVALUATION  See the ideogram below. $\bf{ }$ OUR AVERAGE  Error includes scale factor of 1.6.  See the ideogram below. $0.98$ $\pm0.65$ $\pm0.5$ 1 AAIJ 2016 G LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $-2.15$ $\pm1.85$ 2 ABAZOV 2014 D0 ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV $-2.8$ $\pm1.9$ $\pm0.4$ 3 ABAZOV 2013 D0 ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV • • We do not use the following data for averages, fits, limits, etc. • • $-0.15$ $\pm1.25$ $\pm0.90$ 4 AAIJ 2014 D LHCB Repl. by AAIJ 2016G $-4.5$ $\pm2.7$ 5 ABAZOV 2011 U D0 Repl. by ABAZOV 2014 $-0.4$ $\pm2.3$ $\pm0.4$ 6 ABAZOV 2010 E D0 Repl. by ABAZOV 2013 $-3.6$ $\pm1.9$ 7 ABAZOV 2010 H D0 Repl. by ABAZOV 2011U $6.1$ $\pm4.8$ $\pm0.9$ 8 ABAZOV 2007 A D0 Repl. by ABAZOV 2010E 1  AAIJ 2016G reports a measurement of time-integrated flavor-specific asymmetry in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit D}_{{s}}^{-}}{{\mathit X}}$ decays, ${{\mathit A}_{{SL}}^{s}}$ = ($0.39$ $\pm0.26$ $\pm0.20)\%$, which is approximately equal to 4 ${\times }$ Re($\epsilon _{{{\mathit B}_{{s}}^{0}}}$) / (1 + $\vert \epsilon _{{{\mathit B}_{{s}}^{0}}}$ $\vert {}^{2}$). 2  ABAZOV 2014 uses the dimuon charge asymmetry with different impact parameters from which it reports ${{\mathit A}_{{SL}}^{s}}$ = $-0.0086$ $\pm0.0074$. 3  ABAZOV 2013 reports a measurement of time-integrated flavor-specific asymmetry in mixed semileptonic ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit D}_{{s}}^{-}}{{\mathit X}}$ decays ${{\mathit A}_{{SL}}^{s}}$ = ($-1.12$ $\pm0.74$ $\pm0.17)\%$ which is approximately equal to 4 ${\times }$ Re($\epsilon _{{{\mathit B}_{{s}}^{0}}})~/~$(1 + $\vert \epsilon _{{{\mathit B}_{{s}}^{0}}}\vert ^2$). 4  AAIJ 2014D reports a measurement of time-integrated flavor-specific asymmetry in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit D}_{{s}}^{-}}{{\mathit X}}$ decays, ${{\mathit A}_{{SL}}^{s}}$ = ($-0.06$ $\pm0.50$ $\pm0.36)\%$, which is approximately equal to4 ${\times }$ Re($\epsilon _{{{\mathit B}_{{s}}^{0}}}$) / (1 + $\vert \epsilon _{{{\mathit B}_{{s}}^{0}}}$ $\vert {}^{2}$). 5  ABAZOV 2011U uses the dimuon charge asymmetry with different impact parameters from which it reports ${{\mathit A}_{{SL}}^{s}}$ = ($-18.1$ $\pm10.6$) $ \times 10^{-3}$. 6  ABAZOV 2010E reports a measurement of flavor-specific asymmetry in ${{\mathit B}_{{}(s)}}^{0}} \rightarrow {{\mathit \mu}^{+}} {{\mathit D}_{{(s)}}^{*-}} {{\mathit X}} decays with a decay-time analysis including initial-state flavor tagging, {{\mathit A}_{{SL}}^{s}} = (-1.7 \pm9.1 {}^{+1.4}_{-1.5}) \times 10^{-3} which is approximately equal to 4 {\times } Re(\epsilon _{{{\mathit B}_{{s}}^{0}}}) / (1 + \vert \epsilon _{{{\mathit B}_{{s}}^{0}}} \vert {}^{2}). 7  ABAZOV 2010H reports a measurement of like-sign dimuon charge asymmetry of ${{\mathit A}_{{SL}}^{s}}$ = ($-9.57$ $\pm2.51$ $\pm1.46$) $ \times 10^{-3}$ in semileptonic ${\mathit {\mathit b}}$-hadron decays. Using the measured production ratio of ${{\mathit B}_{{d}}^{0}}$ and ${{\mathit B}_{{0}}^{0}}$, and the asymmetry of ${{\mathit B}_{{d}}^{0}}{{\mathit A}_{{SL}}^{s}}$ = ($-4.7$ $\pm4.6$) $ \times 10^{-3}$ measured from ${{\mathit B}}$-factories, they obtain the asymmetry for ${{\mathit B}_{{s}}^{0}}$. 8  The first direct measurement of the time integrated flavor untagged charge asymmetry in semileptonic ${{\mathit B}_{{s}}^{0}}$ decays is reported as 2${\times }{{\mathit A}_{{SL}}^{s}}$(untagged) = ${{\mathit A}_{{SL}}^{s}}$ = $0.0245$ $\pm0.0193$ $\pm0.0035$.

Re($\epsilon _{{{\mathit B}_{{s}}^{0}}}$) / (1 + $\vert \epsilon _{{{\mathit B}_{{s}}^{0}}}$ $\vert {}^{2}$) ($ 10^{-3} $)

Conservation Laws:

$\mathit CP$ INVARIANCE

References:

AAIJ 2016G PRL 117 061803 Measurement of the $\mathit CP$ asymmetry in ${{\mathit B}_{{s}}^{0}}−{{\overline{\mathit B}}_{{s}}^{0}}$ Mixing AAIJ 2014D PL B728 607 Measurement of the Flavour-Specific $\mathit CP$-Violating Asymmetry $\mathit a{}^{s}_{sl}$ in ${{\mathit B}_{{s}}^{0}}$ Decays ABAZOV 2014 PR D89 012002 Study of $\mathit CP$-Violating Charge Asymmetries of Single Muons and Like-Sign Dimuons in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions ABAZOV 2013 PRL 110 011801 Measurement of the Semileptonic Charge Asymmetry using ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit D}_{{s}}}{{\mathit \mu}}{{\mathit X}}$ Decays ABAZOV 2011U PR D84 052007 Measurement of the Anomalous Like-Sign Dimuon Charge Asymmetry with 9 fb${}^{-1}$ of ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions ABAZOV 2010H PRL 105 081801 Evidence for an Anomalous Like-Sign Dimuon Charge Asymmetry Also PR D82 032001 Evidence for an Anomalous Like-Sign Dimuon Charge Asymmetry ABAZOV 2010E PR D82 012003 Search for $\mathit CP$ Violation in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit D}_{{s}}^{-}}{{\mathit X}}$ Decays in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions at $\sqrt {s }$ = 1.96$~$TeV ABAZOV 2007A PRL 98 151801 Measurement of the Charge Asymmetry in Semileptonic ${{\mathit B}_{{s}}}$ Decays