Abstract
The anomalous results of recent measurements on various $b\to s\mu^+\mu^-$ processes could be initial evidence of physics beyond the standard model (SM). Assuming this to be the case, we entertain the possibility that the underlying new physics also affects the rare nonleptonic decays of the $\bar B_s^0$ meson. We consider in particular new physics arising from the interactions of a heavy $Z'$ boson and investigate their influence on the decay modes $\bar B_s^0\to(\eta,\eta',\phi)\omega$, which receive sizable QCD- and electroweak-penguin contributions. These decays are not yet observed, and their rates are estimated to be relatively small in the SM. Taking into account the pertinent constraints, we find that the $Z'$ effects can greatly increase the rates of $\bar B_s^0\to(\eta,\phi)\omega$, by as much as two orders of magnitude, with respect to the SM expectations. We have previously shown that $\bar B_s^0\to(\eta,\phi)\pi^0$, with similarly suppressed SM rates, could also undergo substantial $Z'$-induced enhancement. These rare modes can therefore serve as complementary probes of the potential new physics which may be responsible for the $b\to s\mu^+\mu^-$ anomalies.
Highlights
The current data on a number of b → sμþμ− transitions have manifested several tantalizing deviations from the expectations of the standard model (SM)
These rare modes can serve as complementary probes of the potential new physics which may be responsible for the b → sμþμ− anomalies
We have explored the possibility that the anomalies detected in the current b → sμþμ− data arise from physics beyond the SM and that the same new physics affects the rare nonleptonic decays of the Bs meson, most of which are not yet observed
Summary
The current data on a number of b → sμþμ− transitions have manifested several tantalizing deviations from the expectations of the standard model (SM). [9] that the Z0 influence could cause the rates of two of the modes, B 0s → ðη; φÞπ0, to rise by up to an order of magnitude above their SM expectations It follows that these modes could offer valuable complementary information about the NP which may be responsible for the b → sμþμ− anomalies. As in the B 0s → ðη; η0; φÞðπ0; ρ0Þ case, the tree operators suffer from the CKM suppression, again allowing the penguin operators to become important Unlike the latter modes, Bs → ðη; η0; φÞω preserve isospin and receive both electroweak- and QCD-penguin contributions.
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