PARAMETERS FOR ${{\mathit K}_L^0}$ $\rightarrow$ 2 ${{\mathit \pi}}$ DECAY

$\eta _{+−}$ = A( ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) $/$ A( ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) $\eta _{00}$ = A( ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ ) $/$ A( ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ )
The fitted values of $\vert \eta _{+−}\vert $ and $\vert \eta _{00}\vert $ given below are the results of a fit to $\vert \eta _{+−}\vert $, $\vert \eta _{00}\vert $, $\vert \eta _{00}/\eta _{+−}\vert $, and Re($\epsilon {{}^\prime}/\epsilon $). Independent information on $\vert \eta _{+−}\vert $ and $\vert \eta _{00}\vert $ can be obtained from the fitted values of the ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ and ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ branching ratios and the ${{\mathit K}_L^0}$ and ${{\mathit K}_S^0}$ lifetimes. This information is included as data in the $\vert \eta _{+−}\vert $ and $\vert \eta _{00}\vert $ sections with a Document ID “BRFIT.” See the note “$\mathit CP$ violation in ${{\mathit K}_{{L}}}$ decays” above for details.

$\vert \eta _{00}/\eta _{+−}\vert $

INSPIRE   PDGID:
S013ER
VALUE EVTS DOCUMENT ID TECN
$\bf{ 0.9950 \pm0.0007}$ OUR FIT  Error includes scale factor of 1.6.
$\bf{ 0.9930 \pm0.0020}$ OUR AVERAGE
$0.9931$ $\pm0.0020$ 1, 2
BARR
1993D
NA31
$0.9904$ $\pm0.0084$ $\pm0.0036$ 3
WOODS
1988
E731
• • We do not use the following data for averages, fits, limits, etc. • •
$0.9939$ $\pm0.0013$ $\pm0.0015$ 1M 1
BARR
1993D
NA31
$0.9899$ $\pm0.0020$ $\pm0.0025$ 1
BURKHARDT
1988
NA31
1  This is the square root of the ratio $\mathit R$ given by BURKHARDT 1988 and BARR 1993D.
2  This is the combined results from BARR 1993D and BURKHARDT 1988 , taking into account a common systematic uncertainty of $0.0014$.
3  We calculate $\vert \eta _{00}/\eta _{+−}\vert $ = 1$−3(\epsilon {{}^\prime}/\epsilon $) from WOODS 1988 ($\epsilon {{}^\prime}/\epsilon $) value.
Conservation Laws:
$\mathit CP$ VIOLATION OBSERVED
References:
BARR 1993D
PL B317 233 A New Measurement of Direct $\mathit CP$ Violation in the Neutral Kaon System
BURKHARDT 1988
PL B206 169 First Evidence for Direct $\mathit CP$ Violation
WOODS 1988
PRL 60 1695 First Result on a New Measurement of ${{\mathit \epsilon}^{\,'}}/{{\mathit \epsilon}}$ in the Neutral Kaon System