$\mathit CPT$-VIOLATION PARAMETERS

In ${{\mathit K}^{0}}-{{\overline{\mathit K}}^{0}}$ mixing, if $\mathit CP$-violating interactions include a $\mathit T$ conserving part then
 $|{{\mathit K}_{{{S}}}}\rangle{}$ = [$|{{\mathit K}_{{{1}}}}\rangle{}+(\epsilon +\delta )|{{\mathit K}_{{{2}}}}\rangle{}]/\sqrt {1+\vert \epsilon +\delta \vert ^2 }$
 $|{{\mathit K}_{{{L}}}}\rangle{}$ = [$|{{\mathit K}_{{{2}}}}\rangle{}+(\epsilon −\delta )|{{\mathit K}_{{{1}}}}\rangle{}]/\sqrt {1+\vert \epsilon −\delta \vert ^2 }$
where
 $|{{\mathit K}_{{{1}}}}\rangle{}$ = [$|{{\mathit K}^{0}}\rangle{}+|{{\overline{\mathit K}}^{0}}\rangle{}]/\sqrt {2 }$
 $|{{\mathit K}_{{{2}}}}\rangle{}$ = [$|{{\mathit K}^{0}}\rangle{}−|{{\overline{\mathit K}}^{0}}\rangle{}]/\sqrt {2 }$
and
 $|{{\overline{\mathit K}}^{0}}\rangle{}$ = $\mathit CP|{{\mathit K}^{0}}\rangle{}$.

The parameter $\delta $ specifies the $\mathit CPT$-violating part.
Estimates of $\delta $ are given below assuming the validity of the $\Delta \mathit S=\Delta \mathit Q$ rule. See also THOMSON 1995 for a test of $\mathit CPT$-symmetry conservation in ${{\mathit K}^{0}}$ decays using the Bell-Steinberger relation.

Re(y)

INSPIRE   JSON  (beta) PDGID:
S011YRE
A non-zero value would violate $\mathit CPT$ invariance in $\Delta \mathit S$ = $\Delta \mathit Q$ amplitude. Re(y) is the following combination of ${{\mathit K}_{{{{e3}}}}}$ decay amplitudes: Re(y) = Re ${A({{\overline{\mathit K}}^{0}} \rightarrow {{\mathit e}^{-}} {{\mathit \pi}^{+}} {{\overline{\mathit \nu}}_{{{e}}}}){}^{*} - A({{\mathit K}^{0}} \rightarrow {{\mathit e}^{+}} {{\mathit \pi}^{-}} {{\mathit \nu}_{{{e}}}})\over A({{\overline{\mathit K}}^{0}} \rightarrow {{\mathit e}^{-}} {{\mathit \pi}^{+}} {{\overline{\mathit \nu}}_{{{e}}}}){}^{*} + A({{\mathit K}^{0}} \rightarrow {{\mathit e}^{+}} {{\mathit \pi}^{-}} {{\mathit \nu}_{{{e}}}})}$

VALUE ($ 10^{-3} $) EVTS DOCUMENT ID TECN
$0.4$ $\pm2.5$ 13k 1
AMBROSINO
2006E
 KLOE
• • We do not use the following data for averages, fits, limits, etc. • •
$0.3$ $\pm3.1$ 2
APOSTOLAKIS
1999B
 CPLR
1  They use the PDG 2004 for the ${{\mathit K}_L^0}$ semileptonic charge asymmetry and PDG 2004 ($\mathit CP$ review, $\mathit CPT$ NOT ASSUMED) for Re($\epsilon $).
2  Constrained by Bell-Steinberger (or unitarity) relation.
Conservation Laws:
$\mathit CPT$ INVARIANCE
References