CP VIOLATION PARAMETERS IN ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}}{{\mathit K}^{+}}$ AND SIMILAR DECAYS

The parameters ${{\mathit r}}_{{{\mathit B}^{+}}}$ and $\delta _{{{\mathit B}^{+}}}$ are the magnitude ratio and strong phase difference between the amplitudes of A( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{(*)0}}{{\mathit K}^{(*)+}}$ ) and A( ${{\mathit B}^{-}}$ $\rightarrow$ ${{\mathit D}^{(*)0}}{{\mathit K}^{(*)-}}$ ). The measured observables are defined as ${{\mathit x}}_{\pm{}}$ = ${{\mathit r}}_{{{\mathit B}^{+}}}$ cos($\delta _{{{\mathit B}^{+}}}$ $\pm{}{{\mathit \gamma}}$) and ${{\mathit y}}_{\pm{}}$ = ${{\mathit r}}_{{{\mathit B}^{+}}}$ sin($\delta _{{{\mathit B}^{+}}}$ $\pm{}$ $\gamma $), and can be used to measure the CKM angle $\gamma $.
"OUR EVALUATION" is provided by the Heavy Flavor Averaging Group (HFLAV). It is derived from combinations of their results on ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}}{{\mathit K}^{+}}$ and related processes.

r$_{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{*+}}$ )

INSPIRE   PDGID:
S041ARZ
r$_{B}$ and $\delta _{B}$ are the amplitude ratio and relative strong phase between the amplitudes of $\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{*+}}$ ) and $\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{0}}{{\mathit K}^{*+}}$ ),

"OUR EVALUATION" is provided by the Heavy Flavor Averaging Group (HFLAV).

VALUE DOCUMENT ID TECN  COMMENT
$\bf{ 0.101 {}^{+0.016}_{-0.034}}$ OUR EVALUATION
• • We do not use the following data for averages, fits, limits, etc. • •
$0.143$ ${}^{+0.048}_{-0.049}$ 1
LEES
2013B
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$0.166$ ${}^{+0.073}_{-0.069}$ 2
DEL-AMO-SANCH..
2010F
 BABR Repl. by LEES 2013B
$0.31$ $\pm0.07$ 3
AUBERT
2009AJ
 BABR Repl. by LEES 2013B
$0.181$ ${}^{+0.088}_{-0.108}$ $\pm0.042$ 4
AUBERT
2008AL
 BABR Repl. by AUBERT 2009AJ
$0.564$ ${}^{+0.216}_{-0.155}$ $\pm0.093$ 5
POLUEKTOV
2006
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
1  Reports combination of published measurements using GGSZ, GLW, and ADS methods.
2  DEL-AMO-SANCHEZ 2010F reports r$_{B}\cdot{}$k = $0.149$ ${}^{+0.066}_{-0.062}$ for k = 0.9.
3  Obtained by combining the GLW and ADS methods. The 2-sigma range corresponds to [0.17, 0.43].
4  Uses Dalitz plot analysis of ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays coming from ${{\mathit B}^{\pm}}$ $\rightarrow$ ${{\mathit D}^{(*)}}{{\mathit K}^{(*)\pm}}$ modes.
5  Uses a Dalitz plot analysis of the ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays; Combines the ${{\mathit D}}{{\mathit K}^{+}}$ , ${{\mathit D}^{*}}{{\mathit K}^{+}}$ and ${{\mathit D}}{{\mathit K}^{*+}}$ modes.
Conservation Laws:
$\mathit CP$ VIOLATION OBSERVED
References:
LEES 2013B
PR D87 052015 Observation of Direct $\mathit CP$ Violation in the Measurement of the Cabibbo-Kobayashi-Maskawa Angle $\gamma $ with ${{\mathit B}^{\pm}}$ $\rightarrow$ ${{\mathit D}^{(*)}}{{\mathit K}^{(*)\pm}}$
DEL-AMO-SANCHEZ 2010F
PRL 105 121801 Evidence for Direct $\mathit CP$ Violation in the Measurement of the Cabbibo-Kobayashi-Maskawa Angle ${{\mathit \gamma}}$ with ${{\mathit B}^{\mp}}$ $\rightarrow$ ${{\mathit D}^{{(*)}}}{{\mathit K}^{{(*)}\mp}}$ Decays
AUBERT 2009AJ
PR D80 092001 Measurement of $\mathit CP$ Violation Observables and Parameters for the Decays ${{\mathit B}^{\pm}}$ $\rightarrow$ ${{\mathit D}}{{\mathit K}^{*\pm}}$
AUBERT 2008AL
PR D78 034023 Improved Measurement of the CKM Angle $\gamma $ in ${{\mathit B}^{\mp}}$ $\rightarrow$ ${{\mathit D}^{(*)}}{{\mathit K}^{(*)\mp}}$ Decays with a Dalitz Plot Analysis of ${{\mathit D}}$ Decays to ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ and ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$
POLUEKTOV 2006
PR D73 112009 Measurement of ${{\mathit \phi}_{{3}}}$ with a Dalitz Plot Analysis of ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{{(*)}}}{{\mathit K}^{{(*)}+}}$ Decay