$R_K$ anomalies and simplified limits on $Z^{\prime }$ models at the LHC

Abstract

The LHCb collaboration has recently reported a 2.5 $\sigma$ discrepancy with respect to the predicted value in a test of lepton universality in the ratio $R_{K^{\ast }}=BR(B\to K^{\ast }{\mu }^{+}{\mu }^{-})/BR(B\to K^{\ast }{e}^{+}{e}^{-})$. Coupled with an earlier observation of a similar anomaly in $R_K$, this has generated significant excitement. A number of new physics scenarios have been proposed to explain the anomaly. In this work we consider simplified limits on $Z^{\prime }$ models from ATLAS and CMS searches for new resonances in dilepton and dijet modes, and we use the simplified limits variable $\zeta$ to correlate the results of the resonance and B-decay experiments. By examining minimal $Z^{\prime }$ models that can accomodate the observed LHCb results, we show that the high-mass resonance search results are begining to be sensitive to these models and that future results will be more informative.

24 pages, 5 figures. Typo corrected, resulting in strengthened limits. Additional references added; minor corrections found in referee process included

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• $B$ decay anomalies and dark matter from vectorlike confinement
• Broadening the Reach of Simplified Limits on Resonances at the LHC
• Dark Matter phenomenology : from simplified WIMP models to refined alternative solutions