$\mathit x$ = A( ${{\overline{\mathit K}}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ )/A( ${{\mathit K}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ ) = A($\Delta \mathit S=−\Delta \mathit Q)/A(\Delta \mathit S=\Delta \mathit Q$)

REAL PART OF $\mathit x$

INSPIRE   PDGID:
S013REX
VALUE EVTS DOCUMENT ID TECN  COMMENT
$-0.0018$ $\pm0.0041$ $\pm0.0045$
ANGELOPOULOS
1998D
 CPLR ${{\mathit K}_{{e3}}}$ from ${{\mathit K}^{0}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$0.10$ ${}^{+0.18}_{-0.19}$ 79
SMITH
1975B
 WIRE ${{\mathit \pi}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit \Lambda}}$
$0.04$ $\pm0.03$ 4724
NIEBERGALL
1974
ASPK ${{\mathit K}^{+}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit p}}{{\mathit \pi}^{+}}$
$-0.008$ $\pm0.044$ 1757
FACKLER
1973
OSPK ${{\mathit K}_{{e3}}}$ from ${{\mathit K}^{0}}$
$-0.03$ $\pm0.07$ 1367
HART
1973
OSPK ${{\mathit K}_{{e3}}}$ from ${{\mathit K}^{0}}{{\mathit \Lambda}}$
$-0.070$ $\pm0.036$ 1079
MALLARY
1973
OSPK ${{\mathit K}_{{e3}}}$ from ${{\mathit K}^{0}}{{\mathit \Lambda}}$ X
$0.03$ $\pm0.06$ 410 1
BURGUN
1972
HBC ${{\mathit K}^{+}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit p}}{{\mathit \pi}^{+}}$
$0.04$ ${}^{+0.10}_{-0.13}$ 100 2
GRAHAM
1972
OSPK ${{\mathit K}_{{\mu3}}}$ from ${{\mathit K}^{0}}{{\mathit \Lambda}}$
$-0.05$ $\pm0.09$ 442 2
GRAHAM
1972
OSPK ${{\mathit \pi}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit \Lambda}}$
$0.26$ ${}^{+0.10}_{-0.14}$ 126
MANN
1972
HBC ${{\mathit K}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit n}}{{\overline{\mathit K}}^{0}}$
$-0.13$ $\pm0.11$ 342 2
MANTSCH
1972
OSPK ${{\mathit K}_{{e3}}}$ from ${{\mathit K}^{0}}{{\mathit \Lambda}}$
$0.04$ ${}^{+0.07}_{-0.08}$ 222 1
BURGUN
1971
HBC ${{\mathit K}^{+}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit p}}{{\mathit \pi}^{+}}$
$0.25$ ${}^{+0.07}_{-0.09}$ 252
WEBBER
1971
HBC ${{\mathit K}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit n}}{{\overline{\mathit K}}^{0}}$
$0.12$ $\pm0.09$ 215 3
CHO
1970
DBC ${{\mathit K}^{+}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit p}}{{\mathit p}}$
$-0.020$ $\pm0.025$ 4
BENNETT
1969
CNTR Charge asym+ ${}^{}\mathrm {Cu}$ regen.
$0.09$ ${}^{+0.14}_{-0.16}$ 686
LITTENBERG
1969
OSPK ${{\mathit K}^{+}}$ ${{\mathit n}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit p}}$
$0.03$ $\pm0.03$ 4
BENNETT
1968
CNTR
$0.09$ ${}^{+0.07}_{-0.09}$ 121
JAMES
1968
HBC ${{\overline{\mathit p}}}{{\mathit p}}$
$0.17$ ${}^{+0.16}_{-0.35}$ 116
FELDMAN
1967B
 OSPK ${{\mathit \pi}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit \Lambda}}$
$0.17$ $\pm0.10$ 335 3
HILL
1967
DBC ${{\mathit K}^{+}}$ ${{\mathit d}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit p}}{{\mathit p}}$
$0.035$ ${}^{+0.11}_{-0.13}$ 196
AUBERT
1965
HLBC ${{\mathit K}^{+}}$ charge exch.
$0.06$ ${}^{+0.18}_{-0.44}$ 152 5
BALDO-CEOLIN
1965
HLBC ${{\mathit K}^{+}}$ charge exch.
$-0.08$ ${}^{+0.16}_{-0.28}$ 109 6
FRANZINI
1965
HBC ${{\overline{\mathit p}}}{{\mathit p}}$
1  BURGUN 1972 is a final result which includes BURGUN 1971 .
2  First GRAHAM 1972 value is second GRAHAM 1972 value combined with MANTSCH 1972 .
3  CHO 1970 is analysis of unambiguous events in new data and HILL 1967 .
4  BENNETT 1969 is a reanalysis of BENNETT 1968 .
5  BALDO-CEOLIN 1965 gives $\mathit x$ and $\theta $ converted by us to Re($\mathit x$) and Im($\mathit x$).
6  FRANZINI 1965 gives $\mathit x$ and $\theta $ for Re($\mathit x$) and Im($\mathit x$). See SCHMIDT 1967 .
Conservation Laws:
$\Delta \mathit S$ = $\Delta \mathit Q$ RULE
References:
ANGELOPOULOS 1998D
PL B444 38 Measurement of the ${{\mathit K}_L^0}$ $−$ ${{\mathit K}_S^0}$ Mass Difference using Semileptonic Decays of Tagged Neutral Kaons
Also
EPJ C22 55 $\mathit T$-Violation and $\mathit CPT$-Invariance Measurements in the CPLEAR Experiment: a Detailed Description of the Analysis of Neutral-Kaon Decays to ${{\mathit e}}{{\mathit \pi}}{{\mathit \nu}}$
SMITH 1975B
Thesis UCSD unpub. Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in ${{\mathit K}_{{e3}}}$ Decay
NIEBERGALL 1974
PL 49B 103 Experimental Study of the $\Delta \mathit S/\Delta \mathit Q$ Rule in the Time Dependent Rate of ${{\mathit K}^{0}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit e}}{{\mathit \nu}}$
FACKLER 1973
PRL 31 847 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in ${{\mathit K}_{{e3}}}$ Decay
HART 1973
NP B66 317 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in ${{\mathit K}_{{e3}}}$ Decay
MALLARY 1973
PR D7 1953 Three Body Decays of ${{\mathit K}^{0}}$ Mesons
Also
PRL 25 1214 Measurement of the $\Delta \mathit S$ = $−\Delta \mathit Q$ Amplitude from ${{\mathit K}_{{e3}}^{0}}$ Decay
BURGUN 1972
NP B50 194 Experimental Study of the Selection Rule $\Delta \mathit S$ = $−\Delta \mathit Q$ in ${{\mathit K}_{{e3}}^{0}}$ and ${{\mathit K}_{{\mu3}}^{0}}$ Decays
GRAHAM 1972
NC 9A 166 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Selection Rule in ${{\mathit K}_{{\mu3}}}$ Decay
MANN 1972
PR D6 137 Test of $\Delta \mathit S$ = $\Delta \mathit Q$ in the Time Distribution of ${{\mathit K}}{}^{0}_{{{\mathit \ell}}3}$ Decays
MANTSCH 1972
NC 9A 160 A Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Selection Rule in ${{\mathit K}_{{e3}}}$ Decay
BURGUN 1971
LNC 2 1169 Results on the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule from ${{\mathit K}_{{e3}}^{0}}$ and ${{\mathit K}_{{\mu3}}^{0}}$ Decays
WEBBER 1971
PR D3 64 Experimental Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in Leptonic Decays of ${{\mathit K}^{0}}$ Mesons
Also
PRL 21 498 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in Leptonic Decays of Neutral ${{\mathit K}}$ Mesons
Also
Thesis UCRL 19226 A test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in Leptonic Decays of Neutral ${{\mathit K}}$ Mesons
CHO 1970
PR D1 3031 Study of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in the Leptonic Decays of the Neutral ${{\mathit K}}$ Meson
Also
PRL 19 668 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in Leptonic Decay of Neutral ${{\mathit K}}$ Mesons
BENNETT 1969
PL 29B 317 ${{\mathit K}_S^0}$ $\leftrightarrow$ ${{\mathit K}_L^0}$ Regeneration Amplitude in Copper at 2.5 ${\mathrm {GeV/}}\mathit c$ and Phase of $\eta _{+−}$
LITTENBERG 1969
PRL 22 654 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in ${{\mathit K}^{0}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit e}}{{\mathit \nu}}$ Decay
BENNETT 1968
PL 27B 244 The $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in the Decay ${{\mathit K}^{0}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit \nu}}{{\mathit \pi}}$
JAMES 1968
NP B8 365 Experimental Investigation of $\Delta \mathit S/\Delta \mathit Q$ Rule in Leptonic ${{\mathit K}^{0}}$ Decays
Also
PRL 21 257 Experimental Determination of Re$\xi $ from ${{\mathit K}_{{\mu3}}^{0}}$ Decay
FELDMAN 1967B
PR 155 1611 Time Dependence of ${{\mathit K}_{{e3}}^{0}}$ Decays
HILL 1967
PRL 19 668 Test of the $\Delta \mathit S$ = $\Delta \mathit Q$ Rule in Leptonic Decay of Neutral ${{\mathit K}}$ Mesons
AUBERT 1965
PL 17 59 Leptonic Decays of ${{\mathit K}^{0}}$ Meson and $\mathit CP$ Violation
Also
PL 24B 75 Measurement of the ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \mu}^{-}}{{\overline{\mathit \nu}}_{{\mu}}}$ Decay Rate, Future Results on ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit e}^{-}}{{\overline{\mathit \nu}}_{{e}}}$ , and Measurement of the ${{\mathit K}_L^0}$ Mean Life
BALDO-CEOLIN 1965
NC 38 684 Experimental Test of $\mathit CP$ Invariance and $\Delta \mathit S$ = $\Delta \mathit Q$ Selection Rule
FRANZINI 1965
PR 140 B127 Some Features of ${{\mathit K}^{0}}$ Decay: The $\Delta \mathit S$ = $\Delta \mathit Q$ Rule, and $\Delta \mathit I={1\over 2}$ Rules for Leptonic and Three-Pion Decays