|
Re($\epsilon $)
|
$0.001596$ $\pm0.000013$
|
|
|
charge asymmetry in ${{\mathit K}_{{{\ell3}}}^{0}}$ decays
|
|
$\mathit A_{\mathit L}$ = weighted average of $\mathit A_{\mathit L}({{\mathit \mu}}$) and $\mathit A_{\mathit L}({{\mathit e}}$)
|
$0.00332$ $\pm0.00006$
|
|
|
$\mathit A_{\mathit L}({{\mathit \mu}}$) = [$\Gamma\mathrm {({{\mathit \pi}^{-}} {{\mathit \mu}^{+}} {{\mathit \nu}_{{{\mu}}}})}$ $−$ $\Gamma\mathrm {({{\mathit \pi}^{+}} {{\mathit \mu}^{-}} {{\overline{\mathit \nu}}_{{{\mu}}}})}$]/sum
|
$0.00304$ $\pm0.00025$
|
|
|
$\mathit A_{\mathit L}({{\mathit e}}$) = [$\Gamma\mathrm {({{\mathit \pi}^{-}} {{\mathit e}^{+}} {{\mathit \nu}_{{{e}}}})}$ $−$ $\Gamma\mathrm {({{\mathit \pi}^{+}} {{\mathit e}^{-}} {{\overline{\mathit \nu}}_{{{e}}}})}$]/sum
|
$0.00334$ $\pm0.00007$
|
|
|
parameters for ${{\mathit K}_L^0}$ $\rightarrow$ 2 ${{\mathit \pi}}$ decay
|
|
$\vert \eta _{00}\vert $ = $\vert $A( ${{\mathit K}_L^0}$ $\rightarrow$ 2 ${{\mathit \pi}^{0}}$) / A( ${{\mathit K}_S^0}$ $\rightarrow$ 2 ${{\mathit \pi}^{0}})\vert $
|
$0.002243$ $\pm0.000014$
|
|
|
$\vert \eta _{+−}\vert $ = $\vert $A( ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) $/$ A( ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}})\vert $
|
$0.002226$ $\pm0.000008$
|
|
|
$\vert \epsilon \vert $ = (2$\vert \eta _{+−}\vert $ + $\vert \eta _{00}\vert $)/3
|
$0.002229$ $\pm0.000012$
(S = 1.7)
|
|
|
$\vert \eta _{00}/\eta _{+−}\vert $
|
[1]
|
$0.9930$ $\pm0.0020$
|
|
|
Re($\epsilon {{}^\prime}/\epsilon $) = (1$−\vert \eta _{00}/\eta _{+−}\vert $)/3
|
[1]
|
$0.00168$ $\pm0.00020$
(S = 1.4)
|
|
|
Assuming $\mathit CPT$
|
|
$\phi _{+−}$, phase of $\eta _{+−}$
|
$43.51$ $\pm0.05$
$^\circ{}$
(S = 1.2)
|
|
|
$\phi _{00}$, phase of $\eta _{00}$
|
$43.52$ $\pm0.05$
$^\circ{}$
(S = 1.2)
|
|
|
$\phi _{\epsilon }$ = (2$\phi _{+−}+\phi _{00}$)/3
|
$43.52$ $\pm0.04$
$^\circ{}$
(S = 1.2)
|
|
|
Not assuming $\mathit CPT$
|
|
$\phi _{+−}$, phase of $\eta _{+−}$
|
$43.4$ $\pm0.5$
$^\circ{}$
(S = 1.2)
|
|
|
$\phi _{00}$, phase of $\eta _{00}$
|
$43.7$ $\pm0.6$
$^\circ{}$
(S = 1.2)
|
|
|
$\phi _{\epsilon }$ = (2$\phi _{+−}+\phi _{00}$)/3
|
$43.5$ $\pm0.5$
$^\circ{}$
(S = 1.3)
|
|
|
$\mathit CP$ asymmetry $\mathit A$ in ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit e}^{+}}{{\mathit e}^{-}}$
|
$0.137$ $\pm0.015$
|
|
|
$\beta _{\mathit CP}$ from ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}{{\mathit e}^{+}}{{\mathit e}^{-}}$
|
$-0.19$ $\pm0.07$
|
|
|
$\gamma _{\mathit CP}$ from ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}{{\mathit e}^{+}}{{\mathit e}^{-}}$
|
$0.01$ $\pm0.11$
(S = 1.6)
|
|
|
parameters for ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}}$ decay
|
|
$\vert \eta _{+−{{\mathit \gamma}}}\vert $ = $\vert $A( ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}}$ , $\mathit CP$ violating)/A( ${{\mathit K}_S^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}})\vert $
|
$0.00235$ $\pm0.00007$
|
|
|
$\phi _{+−{{\mathit \gamma}}}$ = phase of $\eta _{+−{{\mathit \gamma}}}$
|
$44$ $\pm4$
$^\circ{}$
|
|
|
$\Gamma\mathrm {( {{\mathit K}_L^0} \rightarrow {{\mathit \pi}^{0}} {{\mathit \pi}^{0}})}$ $/$ $\Gamma\mathrm {(total)}$
|
$(8.64\pm{0.06})\times 10^{-4}$
(S = 1.8)
|
|
|
$\Gamma\mathrm {( {{\mathit K}_L^0} \rightarrow {{\mathit \pi}^{+}} {{\mathit \pi}^{-}})}$ $/$ $\Gamma\mathrm {(total)}$
|
[2]
|
$(1.967\pm{0.010})\times 10^{-3}$
(S = 1.5)
|
|
|
$\Delta \mathit A{}^{{{\mathit D}^{0}}}_{CP}$ = $\mathit A_{CP}({{\mathit K}^{+}}{{\mathit K}^{-}}$) $−$ $\mathit A_{CP}({{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)
|
$-0.00154$ $\pm0.00029$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ [ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$ ]$_{{{\overline{\mathit D}}}}$ ${{\mathit K}^{*}{(892)}^{+}}$)
|
$-0.75$ $\pm0.16$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}}_{CP(+1)}$ ${{\mathit K}^{+}}$)
|
$0.132$ $\pm0.015$
(S = 1.8)
|
|
|
$\mathit A_{ADS}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}}{{\mathit K}^{+}}$)
|
$-0.451$ $\pm0.026$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit K}^{+}}$)
|
$-0.37$ $\pm0.08$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$)
|
$0.015$ $\pm0.006$
(S = 1.4)
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit f}_{{{2}}}{(1270)}}{{\mathit K}^{+}}$)
|
$-0.68$ ${}^{+0.19}_{-0.17}$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \rho}^{0}}{{\mathit K}^{+}}$)
|
$0.160$ $\pm0.021$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{+}}$)
|
$-0.115$ $\pm0.008$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}$( ${{\mathit K}^{+}}{{\mathit K}^{-}})_{{\mathit S}{\mathrm -wave}}$)
|
$-0.66$ $\pm0.04$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}^{+}}$)
|
$-0.036$ $\pm0.004$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$)
|
$0.076$ $\pm0.008$
(S = 1.5)
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit f}_{{{2}}}{(1270)}}{{\mathit \pi}^{+}}$)
|
$0.40$ $\pm0.06$
|
|
|
$\gamma $
|
$75$ $\pm8$
$^\circ{}$
|
|
|
r$_{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{+}}$)
|
$0.115$ $\pm0.013$
|
|
|
$\delta _{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{+}}$)
|
$138$ ${}^{+9}_{-10}$
$^\circ{}$
|
|
|
r$_{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{*+}}$)
|
$0.101$ ${}^{+0.016}_{-0.036}$
|
|
|
$\delta _{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{*+}}$)
|
$47$ ${}^{+61}_{-16}$
$^\circ{}$
|
|
|
r$_{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit K}^{+}}$)
|
$0.23$ $\pm0.07$
|
|
|
$\delta _{B}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit D}^{*0}}{{\mathit K}^{+}}$)
|
$342$ ${}^{+14}_{-16}$
$^\circ{}$
|
|
|
$\mathit A_{CP}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$)
|
$-0.0831$ $\pm0.0031$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \eta}}{{\mathit K}^{*}{(892)}^{0}}$)
|
$0.19$ $\pm0.05$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{*}{(892)}^{+}}{{\mathit \pi}^{-}}$)
|
$-0.27$ $\pm0.04$
|
|
|
$\mathit S_{{{\mathit D}^{*}{(2010)}^{-}} {{\mathit D}^{+}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*}{(2010)}^{-}}{{\mathit D}^{+}}$)
|
$-0.83$ $\pm0.09$
|
|
|
$\mathit S_{{{\mathit D}^{*}{(2010)}^{+}} {{\mathit D}^{-}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*}{(2010)}^{+}}{{\mathit D}^{-}}$)
|
$-0.80$ $\pm0.09$
|
|
|
$\mathit S_{{{\mathit D}^{*+}} {{\mathit D}^{*-}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit D}^{*-}}$)
|
$-0.59$ $\pm0.14$
(S = 1.8)
|
|
|
$\mathit S_{+}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit D}^{*-}}$)
|
$-0.73$ $\pm0.09$
|
|
|
$\mathit S_{{{\mathit D}^{+}} {{\mathit D}^{-}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}^{+}}{{\mathit D}^{-}}$)
|
$-0.64$ $\pm0.09$
(S = 1.3)
|
|
|
$\mathit S_{{{\mathit J / \psi}{(1S)}} {{\mathit \pi}^{0}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \pi}^{0}}$)
|
$-0.88$ $\pm0.17$
(S = 1.6)
|
|
|
$\mathit S$( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit \rho}^{0}}$)
|
$-0.66$ ${}^{+0.16}_{-0.12}$
|
|
|
$\mathit S_{{{\mathit K}^{0}} {{\mathit \pi}^{0}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{0}}{{\mathit \pi}^{0}}$)
|
$0.64$ $\pm0.13$
|
|
|
$\mathit S_{{{\mathit \eta}^{\,'}} {{\mathit K}^{0}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \eta}^{\,'}}{{\mathit K}^{0}}$)
|
$0.64$ $\pm0.05$
|
|
|
$\mathit S_{{{\mathit K}^{+}} {{\mathit K}^{-}} {{\mathit K}_S^0} }$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ nonresonant)
|
$-0.66$ $\pm0.11$
|
|
|
$\mathit S_{{{\mathit K}^{+}} {{\mathit K}^{-}} {{\mathit K}_S^0} }$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ inclusive)
|
$-0.65$ $\pm0.12$
|
|
|
$\mathit C_{{{\mathit \pi}} {{\mathit \pi}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)
|
$-0.314$ $\pm0.030$
|
|
|
$\mathit S_{{{\mathit \pi}} {{\mathit \pi}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)
|
$-0.670$ $\pm0.030$
|
|
|
$\Delta \mathit C_{{{\mathit \rho}} {{\mathit \pi}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \rho}^{+}}{{\mathit \pi}^{-}}$)
|
$0.27$ $\pm0.06$
|
|
|
$\mathit S_{{{\mathit \eta}_{{{c}}}} {{\mathit K}_S^0} }$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \eta}_{{{c}}}}{{\mathit K}_S^0}$ )
|
$0.93$ $\pm0.17$
|
|
|
sin$(2\beta )$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ )
|
$0.710$ $\pm0.013$
(S = 1.2)
|
|
|
$\mathit S_{{{\mathit J / \psi}{(nS)}} {{\mathit K}^{0}}}$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(nS)}}{{\mathit K}^{0}}$)
|
$0.710$ $\pm0.014$
(S = 1.3)
|
|
|
$\mathit S_{{{\mathit \chi}_{{{c1}}}} {{\mathit K}_S^0} }$ ( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \chi}_{{{c1}}}}{{\mathit K}_S^0}$ )
|
$0.63$ $\pm0.10$
|
|
|
sin$(2\beta _{{\mathrm {eff}}})$( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ )
|
$0.77$ ${}^{+0.13}_{-0.12}$
|
|
|
$\alpha $
|
$84.1$ ${}^{+4.5}_{-3.8}$
$^\circ{}$
|
|
|
$\mathit r_{{{\mathit B}^{0}}}$( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}}{{\mathit K}^{*0}}$)
|
$0.250$ $\pm0.022$
|
|
|
$\delta _{{{\mathit B}^{0}}}$( ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit D}}{{\mathit K}^{*0}}$)
|
$202.8$ ${}^{+10.3}_{-9.0}$
$^\circ{}$
|
|
|
$\mathit C_{{{\mathit K}} {{\mathit K}}}$( ${{\mathit B}_{{{s}}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$)
|
$0.162$ $\pm0.035$
|
|
|
r$_{B}$( ${{\mathit B}_{{{s}}}^{0}}$ $\rightarrow$ ${{\mathit D}_{{{s}}}^{\mp}}{{\mathit K}^{\pm}}$)
|
$0.37$ ${}^{+0.10}_{-0.09}$
|
|
|
r$_{B}$( ${{\mathit B}_{{{s}}}^{0}}$ $\rightarrow$ ${{\mathit D}_{{{s}}}^{\mp}}{{\mathit K}^{\pm}}{{\mathit \pi}^{\pm}}{{\mathit \pi}^{\mp}}$)
|
$0.47$ $\pm0.08$
|
|
|
$\delta _{B}$( ${{\mathit B}_{{{s}}}^{0}}$ $\rightarrow$ ${{\mathit D}_{{{s}}}^{\pm}}{{\mathit K}^{\mp}}$)
|
$358$ $\pm14$
$^\circ{}$
|
|
|
$\mathit A_{CP}$( ${{\mathit B}_{{{s}}}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit K}^{-}}$)
|
$0.224$ $\pm0.012$
|
|
| |
|
[1] |
Re($\epsilon {{}^\prime}/\epsilon $) = $\epsilon {{}^\prime}/\epsilon $ to a very good approximation provided the phases satisfy $\mathit CPT$ invariance.
|
|
|
[2] |
This mode includes gammas from inner bremsstrahlung but not the direct emission mode ${{\mathit K}_L^0}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \gamma}}$(DE).
|
|
