ENERGY DEPENDENCE OF ${{\mathit K}^{\pm}}$ DALITZ PLOT

$\vert $matrix element$\vert ^2$ = 1 + $\mathit g{}\mathit u$ + $\mathit h{}\mathit u{}^{2}$ + $\mathit k{}\mathit v{}^{2}$ where $\mathit u$ = ($\mathit s_{3}$ $−$ $\mathit s_{0}$) $/$ ${{\mathit m}^{2}}_{{{\mathit \pi}}}$ and $\mathit v$ = ($\mathit s_{2}$ $−$ $\mathit s_{1}$) $/$ ${{\mathit m}^{2}}_{{{\mathit \pi}}}$

($\mathit g_{+}$ $–$ $\mathit g_{-}$) $/$ ($\mathit g_{+}$ + $\mathit g_{-}$) FOR ${{\mathit K}^{\pm}}$ $\rightarrow$ ${{\mathit \pi}^{\pm}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

INSPIRE   PDGID:
S010DG0
A nonzero value for this quantity indicates $\mathit CP$ violation.
VALUE ($ 10^{-4} $) EVTS DOCUMENT ID TECN
$\bf{ 1.8 \pm1.8}$ OUR AVERAGE
$1.8$ $\pm1.7$ $\pm0.6$ 91.3M 1
BATLEY
2007E
 NA48
$2$ $\pm18$ $\pm5$ 619k 2
AKOPDZHANOV
2005
TNF
• • We do not use the following data for averages, fits, limits, etc. • •
$1.8$ $\pm2.2$ $\pm1.3$ 47M 3
BATLEY
2006A
 NA48
1  BATLEY 2007E includes data from BATLEY 2006A. Uses quadratic parametrization and PDG 2006 value $\mathit g$ = $0.626$ $\pm0.007$ to obtain ${{\mathit g}_{{{+}}}}$ ${{\mathit g}_{{{-}}}}$ = ($2.2$ $\pm2.1$ $\pm0.7$) $ \times 10^{-4}$. Neglects any possible charge asymmetries in higher order slope parameters ${{\mathit h}}$ or ${{\mathit k}}$.
2  Asymmetry obtained assuming that ${{\mathit g}_{{{+}}}}+{{\mathit g}_{{{-}}}}$ = 2${\times }$0.652 (PDG 2002) and that asymmetries in ${{\mathit h}}$ and ${{\mathit k}}$ are zero.
3  Linear and quadratic slopes from PDG 2004 are used. Any possible charge asymmetries in higher order slope parameters ${{\mathit h}}$ or ${{\mathit k}}$ are neglected.
Conservation Laws:
$\mathit CP$ INVARIANCE
References