Explanation of $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and muon $g-2$, and implications at the LHC

Abstract

More than $3\sigma$ deviations from the standard model are observed in the angular observable $P_5^{\prime }$ of $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and muon $g-2$. To resolve these anomalies, we extend the standard model by adding two leptoquarks. It is found that the signal strength of the diphoton Higgs decay can exhibit a significant deviation from unity and is within the data errors. Although ${\ell }_i\to {\ell }_j\gamma$ puts severe bounds on some couplings, it is found that the excesses of $P_5^{\prime }$ and muon $g-2$ can still be explained and can be accommodated to the measurement of $B_s\to {\mu }^{+}{\mu }^{-}$ in this model. In addition, the leptoquark effects can also explain the LHCb measurement of $R_K=BR(B^{+}\to K^{+}{\mu }^{+}{\mu }^{-})/BR(B^{+}\to K^{+}{e}^{+}{e}^{-})=0.745_{-0.074}^{+0.090}\pm 0.036$, which shows a $2.6\sigma$ deviation from the standard model prediction.

Comments: 18 pages, 3 figures, 1 table, version accepted by Phys. Rev. D