Phenomenology of flavorful composite vector bosons in light of B anomalies

Abstract We analyze the flavor structure of composite vector bosons arising in a model of vectorlike technicolor — often called hypercolor (HC) — with eight flavors that form a one-family content of HC fermions. Dynamics of the composite vector bosons, referred to as HC ρ in this paper, are formulated together with HC pions by the hidden local symmetry (HLS), in a way analogous to QCD vector mesons. Then coupling properties to the standard model (SM) fermions, which respect the HLS gauge symmetry, are described in a way that couplings of the HC ρs to the left-handed SM quarks and leptons are given by a well-defined setup as taking the flavor mixing structures into account. Under the present scenario, we discuss significant bounds on the model from electroweak precision tests, flavor physics, and collider physics. We also try to address B anomalies in processes such as B → K (∗) μ + μ − and B → D ∗ τ ν ¯ $$ B\to {D}^{\left(\ast \right)}\tau\;\overline{\nu} $$ , recently reported by LHCb, Belle, (ATLAS, and CMS in part). Then we find that the present model can account for the anomaly in B → K (∗) μ + μ − consistently with the other constraints while it predicts no significant deviations in B → D ∗ τ ν ¯ $$ B\to {D}^{\left(\ast \right)}\tau\;\overline{\nu} $$ ν from the SM, which can be examined in the future Belle II experiment. The former is archived with the form C 9 = −C 10 of the Wilson coefficients for effective operators of b → sμ + μ −, which has been favored by the recent experimental data. We also investigate current and future experimental limits at the Large Hadron Collider (LHC) and see that possible collider signals come from dijet and ditau, or dimuon resonant searches for the present scenario with TeV mass range. To conclude, the present b → sμ + μ − anomaly is likely to imply discovery of new vector bosons in the ditau or dimuon channel in the context of the HC ρ model. Our model can be considered as a UV completion of conventional U(1)′ models