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.

$\mathit r_{B}({{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit \pi}^{+}}$)

INSPIRE   JSON  (beta) PDGID:
S041D18
$\mathit r_{B}$ and $\delta _{B}$ are the amplitude ratio and relative strong phase between the amplitudes of $\mathit A({{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit \pi}^{+}}$) and $\mathit A({{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{*0}}{{\mathit \pi}^{+}}$).
VALUE DOCUMENT ID TECN  COMMENT
• • We do not use the following data for averages, fits, limits, etc. • •
$0.009$ ${}^{+0.005}_{-0.007}$ 1
AAIJ
2024H
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV
$0.01$ $\pm0.01$ 2
AAIJ
2023BA
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV
1  Extracted from yields of partially reconstructed ${{\mathit B}^{\pm}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit K}^{\pm}}$, ${{\mathit D}^{*}}$ $\rightarrow$ ${{\mathit D}}{{\mathit \pi}^{0}}$ $/$ ${{\mathit \gamma}}$ , ${{\mathit D}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $/$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays. The uncertainty is predominantly statistical. Its correlation with the AAIJ 2023BA result is found to be less than 3$\%$.
2  Measured using ${{\mathit B}^{\pm}}$ $\rightarrow$ ${{\mathit D}^{*}}{{\mathit \pi}^{\pm}}$ decays analysing the signal yield variation with the fully reconstructed ${{\mathit D}^{*}}$ $\rightarrow$ ${{\mathit D}}{{\mathit \pi}^{0}}$ $/$ ${{\mathit \gamma}}$ , ${{\mathit D}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $/$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ decays. The model-independent approach uses external strong phase input from BESIII and CLEO collaborations.
References