Recently, the LHCb collaboration has reported the excesses in the b → sll processes. One of the promising candidates for new physics to explain the anomalies is the extended Standard Model (SM) with vector-like quarks and leptons. In that model, Yukawa couplings between the extra fermions and SM fermions are introduced, adding extra scalars. Then, the box diagrams involving the extra fields achieve the b → sll anomalies. It has been known that the excesses require the large Yukawa couplings of leptons, so that this kind of model can be tested by studying correlations with other observables. In this paper, we consider the extra scalar to be a dark matter (DM) candidate, and investigate DM physics as well as the flavor physics and the LHC physics. The DM relic density and the direct-detection cross section are also dominantly given by the Yukawa couplings, so that we find some explicit correlations between DM physics and the flavor physics. In particular, we find the predictions of the b → sll anomalies against the direct detection of DM.
arXiv:1706.04344v2 [hep-ph] 1 Nov 2017Recently, the LHCb collaboration has reported that there are deviations from the Standard Model (SM) predictions in the b → sll processes. In the experiment, the branching fractions of B → K ( * ) ll (l = e, µ) are measured, and lepton universalities and angular distributions are studied in each process. One excess is reported in the ratio between BR(B + → K + µµ) and BR(B + → K + ee) in the region with 1 GeV 2 ≤ q 2 ≤ 6 GeV 2 , where q 2 is the invariant mass of two leptons in the final state [1]. The experimental result suggests the smaller value of BR(B + → K + µµ) than the SM prediction, and the deviation is about 2.6σ [1]. Recently, a similar deviation is discovered in B → K * µµ [2]. The B decay to µ pair in this process is again smaller than the SM prediction. Similar indications are also reported in B → φ µµ [3] and Λ b → Λ µµ [4] in the same q 2 region. Moreover, the disagreement between the experimental results and the SM prediction of the angular distribution in B → K * µµ is also one of the longstanding issues [5,6]. The CMS collaboration has shown the result that may be consistent with the SM prediction, but the deviation is still large in the LHCb experiment and the others. Thus, there might be some issues in the b → s transition associated with µ.The SM predicts that namely C 7 , C 9 and C 10 operators contribute to the b → sll processes. C 7 can not give sizable contributions to the processes, because it corresponds to the electric dipole operator that is strictly constrained by B → X s γ. In the region with 1 GeV 2 ≤ q 2 ≤ 6 GeV 2 , the C 9 and C 10 operators dominantly contribute to the branching ratios. The Wilson coefficients, C l 9 and C l 10 , are defined as follows: