Rare nonleptonic $\bar{B}_s^0$ decays as probes of new physics behind $b\to s\mu\bar\mu$ anomalies

TL;DR

This paper explores how new physics, specifically a heavy Z' boson, could significantly enhance rare nonleptonic $ar{B}_s^0$ decay rates, providing potential insights into anomalies observed in $b o s\mu^+\mu^-$ processes.

Contribution

It investigates the impact of Z' boson-induced new physics on rare $ar{B}_s^0$ decays, suggesting these modes could reveal effects linked to $b o s\mu^+\mu^-$ anomalies.

Findings

Z' effects can increase decay rates by up to two orders of magnitude.

Rare decay modes are promising probes for new physics beyond the SM.

Enhanced decay rates could help identify the nature of $b o s\\mu^+\\mu^-$ anomalies.

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.