Abstract
The \$B^0\_s,d J/\eta^(\prime)\$ decays provide new terrain for
exploring CP violation. After briefly discussing \$\eta\$-\$\eta'\$ mixing, we
analyse the effective lifetimes and CP-violating observables of the \$B\_s\$
channels, which allow us to probe New-Physics effects in \$B^0\_s\$-\$B^0\_s\$
mixing. We have a critical look at these observables and show how hadronic
corrections can be controlled by means of the \$B\_d\$ decays. Using measurements
of the \$B^0\_s,dJ/\eta^(\prime)\$ branching ratios by the Belle
collaboration, we discuss tests of the \$SU(3)\_F\$ flavour symmetry of strong
interactions, obtain the first constraints on the hadronic parameters entering
the \$B^0\_s,d J/\eta\$ system, and predict the \$B^0\_dJ/\eta'\$
branching ratio at the \$5\times10^-6\$ level. Furthermore, we present
strategies for the determination of the \$\eta\$-\$\eta'\$ mixing parameters from
the \$B^0\_s,d J/\eta^(\prime)\$ observables. We also observe that
the \$B^0\_s,d J/\eta\$ and \$B^0\_s,d J/\eta'\$ decays are -
from a formal point of view - analogous to the quark-antiquark and tetraquark
descriptions of the \$f\_0(980)\$ in the \$B^0\_s,d J/f\_0(980)\$ channels,
respectively.
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