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$\mathit CP$ VIOLATION PARAMETERS

$\mathit C_{ {{\mathit J / \psi}{(nS)}} {{\mathit K}^{0}} }$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(nS)}}{{\mathit K}^{0}}$ )

``OUR EVALUATION'' is an average using rescaled values of the data listed below. The average and rescaling were performed by the Heavy Flavor Averaging Group (HFLAV) and are described at https://hflav.web.cern.ch/. The averaging/rescaling procedure takes into account correlations between the measurements.

VALUE ($ 10^{-2} $)

DOCUMENT ID

TECN

COMMENT

$\bf{ -0.8 \pm1.7}$

OUR EVALUATION

$\bf{ -0.5 \pm1.6}$

OUR AVERAGE

$-1.7$ $\pm2.9$

LHCB

${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV

$1.5$ $\pm2.1$ ${}^{+2.3}_{-4.5}$

BELL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$-10.4$ $\pm5.5$ ${}^{+2.7}_{-4.7}$

BELL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$-1.9$ $\pm2.6$ ${}^{+4.1}_{-1.7}$

BELL

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$8.9$ $\pm7.6$ $\pm2.0$

BABR

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

$1.6$ $\pm2.3$ $\pm1.8$

BABR

${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$

• • We do not use the following data for averages, fits, limits, etc. • •

$-1.4$ $\pm3.0$

LHCB

${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV

$-5$ $\pm10$ $\pm1$

LHCB

${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV

$-3.8$ $\pm3.2$ $\pm0.5$

LHCB

Repl. by AAIJ 2017BN

$3$ $\pm9$ $\pm1$

LHCB

Repl. by AAIJ 2015N

$-4$ $\pm7$ $\pm5$

BELL

Repl. by ADACHI 2012A

$-1.8$ $\pm2.1$ $\pm1.4$

BELL

Repl. by ADACHI 2012A

¹

Measurement based on ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ , ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit K}_S^0}$ with ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ , ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ and ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ .

²

AAIJ 2017BN provides the correlation coefficient ${{\mathit \rho}}$ = 0.42 between the uncertainties of $\mathit S_{{{\mathit J / \psi}{(nS)}} {{\mathit K}^{0}} }$ (${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(nS)}}{{\mathit K}^{0}}$ ) and $\mathit C_{{{\mathit J / \psi}{(nS)}} {{\mathit K}^{0}} }$ (${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(nS)}}{{\mathit K}^{0}}$ ) measurements.

³	Uses ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ decays.

⁴	The paper reports $\mathit A$, which is equal to $−\mathit C$.

⁵	Uses ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit K}_S^0}$ decays.

⁶	Uses ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_L^0}$ decays.

⁷	Measurement based on ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ with ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ and ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ .

⁸	Measurement based on ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit K}_S^0}$ with ${{\mathit \psi}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ .

⁹	AAIJ 2015N uses 41,560 flavor-tagged ${{\mathit B}_{{d}}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ events from 3 fb${}^{-1}$ of integrated luminosity. Provides the correlation coefficient ${{\mathit \rho}}$ = 0.483 between the statistical uncertainties of and measurements.

¹⁰

AAIJ 2013K uses 8200 flavor-tagged ${{\mathit B}_{{d}}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ events from 1 fb${}^{-1}$ of integrated luminosity. Provides the correlation coefficient ${{\mathit \rho}}$ = 0.42 between the statistical uncertainties of $\mathit S_{{{\mathit J / \psi}{(nS)}} {{\mathit K}^{0}} }$ (${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(nS)}}{{\mathit K}^{0}}$ ) and $\mathit C_{{{\mathit J / \psi}{(nS)}} {{\mathit K}^{0}} }$ (${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(nS)}}{{\mathit K}^{0}}$ ) measurements.

Conservation Laws:

$\mathit CP$ INVARIANCE

References:

JHEP 1711 170

Measurement of $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit K}_S^0}$ Decays

PRL 115 031601

Measurement of $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ Decays

PL B721 24

Measurement of the Time-Dependent $\mathit CP$ Asymmetry in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ Decays

PRL 108 171802

Precise Measurement of the $\mathit CP$ Violation Parameter sin2$\mathit \phi _{1}$ in ${{\mathit B}^{0}}$ $\rightarrow$ ( ${{\mathit c}}{{\overline{\mathit c}}}$) ${{\mathit K}^{0}}$ Decays

PR D79 072009

Measurement of Time-Dependent $\mathit CP$ Asymmetry in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit K}^{(*)0}}$ Decays

PR D77 091103

Measurements of Time-Dependent $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit K}_S^0}$ Decays

PRL 98 031802

Observation of Time-Dependent $\mathit CP$ Violation in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}}{{\mathit K}^{0}}$ Decays and Improved Measurements of $\mathit CP$ Asymmetries in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit K}^{0}}$ , ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{0}}$ Decays

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