Explanation of B →k (∗)l+l- and muon g-2, and implications at the LHC

More than 3σ deviations from the standard model are observed in the angular observable P5′ of B→K∗μ+μ- 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 i→ jγ puts severe bounds on some couplings, it is found that the excesses of P5′ and the muon g-2 can still be explained and accommodated to the measurement of Bs→μ+μ- in this model. In addition, the leptoquark effects can also explain the LHCb measurement of RK=BR(B+→K+μ+μ-)/BR(B+→K+e+e-)=0.745-0.074+0.090±0.036, which shows a 2.6σ deviation from the standard model prediction.