$\mathit CP$ VIOLATION PARAMETERS

cos $ 2\beta $ ( ${{\mathit B}^{0}}$ $\rightarrow$ [ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ]$_{{{\mathit D}^{(*)}}}{{\mathit h}^{0}}$)

INSPIRE   PDGID:
S042CJ2
VALUE DOCUMENT ID TECN  COMMENT
$0.91$ $\pm0.22$ $\pm0.11$ 1
ADACHI
2018
${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$1.06$ $\pm0.33$ ${}^{+0.21}_{-0.15}$ 2
VOROBYEV
2016
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$0.42$ $\pm0.49$ $\pm0.16$ 3
AUBERT
2007BH
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$1.87$ ${}^{+0.40}_{-0.53}$ ${}^{+0.22}_{-0.32}$ 4
KROKOVNY
2006
BELL Repl. by VOROBYEV 2016
1  Analyzes joint data sample of Belle and BaBar using Dalitz plot analysis of ${{\mathit D}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ; the second error combines experimental systematic uncertainty and the Dalitz plot model uncertainty.
2  A model-independent measurement uses the binned Dalitz plot technique.
3  AUBERT 2007BH evaluates the likelihoods for the positive and negative solutions assuming sin$(2 \beta _{eff})$ = 0.678. It quotes L$_{+}$ $/$ (L$_{+}$+ L$_{-}$) = 0.86 corresponding to a likelihood ratio of L$_{+}/L_{-}$ = 6.14 in favor of the positive solution.
4  KROKOVNY 2006 evaluates the likelihoods for the positive and negative solutions assuming sin$(2 \beta _{eff})$ = 0.689. It quotes L$_{+}$ $/$ (L$_{+}$+ L$_{-}$) = 0.983 corresponding to a likelihood ratio of L$_{+}/L_{-}$ = 57.8 in favor of the positive solution.
Conservation Laws:
$\mathit CP$ INVARIANCE
References:
ADACHI 2018
PR D98 112012 Measurement of $\cos{2\beta}$ in $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ decays by a combined time-dependent Dalitz plot analysis of BaBar and Belle data
Also
PRL 121 261801 First evidence for $\cos 2\beta>0$ and resolution of the CKM Unitarity Triangle ambiguity by a time-dependent Dalitz plot analysis of $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ decays
VOROBYEV 2016
PR D94 052004 Measurement of the CKM Angle $\phi _{1}$ in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\overline{\mathit D}}^{{(*)}0}}{{\mathit h}^{0}}$ , ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays with Time-Dependent Binned Dalitz Plot Analysis
AUBERT 2007BH
PRL 99 231802 Measurement of cos $2\beta $ in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{{(*)}}}{{\mathit h}^{0}}$ Decays with a Time-Dependent Dalitz Plot Analysis of ${{\mathit D}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
KROKOVNY 2006
PRL 97 081801 Measurement of the Quark Mixing Parameter cos2${{\mathit \phi}}_{1}$ Using Time-Dependent Dalitz Analysis of ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}}$ [${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ] ${{\mathit h}^{0}}$