Connecting $b\to s\ell\bar\ell$ anomalies to enhanced rare nonleptonic $\bar{B}_s^0$ decays in $Z'$ model

Understand

The present data on a number of observables in $b\to s\mu^+\mu^-$ processes manifest some tensions with the standard model (SM).

• Assuming that these anomalies have a new physics origin, we consider the possibility that a $Z'$ boson is responsible for them.
• We further assume that its interactions with quarks also affect rare nonleptonic decays of the $\bar B_s^0$ meson which are purely isospin-violating and tend to be dominated by electroweak-penguin contributions, namely $\bar B_s^0\to(\eta,\eta',\phi)(\pi^0,\rho^0)$.
• Most of these decays are not yet observed, and their rates are expected to be relatively small in the SM.