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$\mathit CPT$-INVARIANCE TESTS IN ${{\mathit K}_L^0}$ DECAYS

PHASE DIFFERENCE $\phi _{00}$ $−$ $\phi _{+−}$

INSPIRE   PDGID:

S013DF

Test of $\mathit CPT$.

OUR FIT is described in the note on “$\mathit CP$ violation in ${{\mathit K}_{{L}}}$ decays” in the ${{\mathit K}_L^0}$ Particle Listings.

VALUE ($^\circ{}$) DOCUMENT ID TECN  COMMENT $\bf{ 0.34 \pm0.32}$ OUR FIT  Not assuming $\mathit CPT$ $\bf{ 0.006 \pm0.014}$ OUR FIT  Error includes scale factor of 1.7.  Assuming $\mathit CPT$ $0.006$ $\pm0.008$ 1 SUPERWEAK 2016 Assuming $\mathit CPT$ $-0.30$ $\pm0.88$ 2 SCHWINGENHEUE.. 1995 Combined E731, E773 • • We do not use the following data for averages, fits, limits, etc. • • $0.30$ $\pm0.35$ 3 ABOUZAID 2011 KTEV Not assuming $\mathit CPT$ $0.39$ $\pm0.22$ $\pm0.45$ 4 ALAVI-HARATI 2003 KTEV $0.62$ $\pm0.71$ $\pm0.75$ SCHWINGENHEUE.. 1995 E773 $-1.6$ $\pm1.2$ 5 GIBBONS 1993 E731 $-0.3$ $\pm2.4$ $\pm1.2$ KARLSSON 1990 E731 $0.2$ $\pm2.6$ $\pm1.2$ 6 CAROSI 1990 NA31 1  SUPERWEAK 2016 is a fake experiment to constrain $\phi _{00}−\phi _{+-}$ to a small value as described in the note ``$\mathit CP$ violation in ${{\mathit K}_{{L}}}$ decays.'' 2  This SCHWINGENHEUER 1995 values is the combined result of SCHWINGENHEUER 1995 and GIBBONS 1993 , accounting for correlated systematic errors. 3  Not independent of other phase parameters reported in ABOUZAID 2011 . 4  ALAVI-HARATI 2003 fit Re($\epsilon {{}^\prime}/\epsilon $), Im($\epsilon {{}^\prime}/\epsilon $), $\Delta \mathit m$, $\tau _{\mathit S}$, and $\phi _{+−}$ simultaneously, not assuming $\mathit CPT$. Phase difference is obtained from $\phi _{00}−\phi _{+−}\approx{}-3$Im($\epsilon {{}^\prime}/\epsilon $) for small $\vert \epsilon {{}^\prime}/\epsilon \vert $. Superseded by ABOUZAID 2011 . 5  GIBBONS 1993 give detailed dependence of systematic error on lifetime (see the section on the ${{\mathit K}_S^0}$ mean life) and mass difference (see the section on ${\mathit m}_{{{\mathit K}_L^0} }–{\mathit m}_{{{\mathit K}_S^0} }$). 6  CAROSI 1990 is excluded from the fit because it it is not independent of $\phi _{+−}$ and $\phi _{00}$ values.

References:

SUPERWEAK 2016 RPP 2016 edition Review of Particle Physics 2016 ABOUZAID 2011 PR D83 092001 Precise Measurements of Direct $\mathit CP$ Violation, $\mathit CPT$ Symmetry, and other Parameters in the Neutral Kaon System ALAVI-HARATI 2003 PR D67 012005 Measurements of Direct $\mathit CP$ Violation, $\mathit CPT$ Symmetry, and other Parameters in the Neutral Kaon System Also PR D70 079904 (errat.) Erratum to ALAVI-HARATI 2003 : “Measurements of Direct $\mathit CP$-Violation, $\mathit CPT$ Symmetry, and other Parameters in the Neutral Kaon System'' SCHWINGENHEUER 1995 PRL 74 4376 $\mathit CPT$ Tests in the Neutral Kaon System GIBBONS 1993 PRL 70 1199 New Measurements of the Neutral Kaon Parameters $\Delta _{m}$, $\tau _{S}$, $\Phi _{00}$ $−$ $\Phi _{+-}$, and $\Phi _{+-}$ Also PR D55 6625 $\mathit CP$ and $\mathit CPT$ Symmetry Test from the Two Pion Decays of the Neutral Kaon with the FNAL E731 Detector CAROSI 1990 PL B237 303 A Measurement of the Phases of the $\mathit CP$ Violating Amplitudes in ${{\mathit K}^{0}}$ $\rightarrow$ 2 ${{\mathit \pi}}$ Decays and a Test of $\mathit CPT$ Invariance KARLSSON 1990 PRL 64 2976 A Test of $\mathit CPT$ Symmetry Through a Determination of the Difference in the Phases of $\eta _{00}$ and $\eta _{+−}$ in ${{\mathit K}}$ $\rightarrow$ 2 ${{\mathit \pi}}$ Decays

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