3 years ago

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

Gaber Faisel, Jusak Tandean

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 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. Taking into account constraints from various measurements, including the recent LHCb observation of $\bar B_s^0\to\phi\rho^0$, we find that the $Z'$ effects on $\bar B_s^0\to(\eta,\phi)\pi^0$ can make their rates bigger than the SM predictions by up to an order of magnitude. For $\bar B_s^0\to\eta'\pi^0,(\eta,\eta')\rho^0$, the enhancement factors are at most a few. Since the $Z'$ contributions to the different channels depend on different combinations of its couplings, observations of more of these decays in future experiments, along with improved $b\to s\mu^+\mu^-$ data, will probe this $Z'$ scenario more thoroughly.

Publisher URL: http://arxiv.org/abs/1710.11102

DOI: arXiv:1710.11102v1

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