Dark matter,Z′, and vector-like quark at the LHC and b→sμμ anomaly

Combining the b→sμ~+μ~-anomaly and dark matter observables,we study the capability of the LHC to test dark matter,Z',and a vector-like quark.We focus on a local U(1)_(L_μ-L_τ) model with a vector-like SU(2)_L doublet quark Q and a complex singlet scalar whose lightest component X_I is a candidate of dark matter.After imposing relevant constraints,we find that the b→sμ~+μ~-anomaly and the relic abundance of dark matter favor m_(X_I) 350 GeV and m_(Z') 450 GeV for m_Q 2 TeV and m_(X_R) 2 TeV(the heavy partner of m_(X_I)).Current searches for jets and missing transverse momentum at the LHC sizably reduce the mass ranges of the vector-like quark,and m_Q is required to be larger than 1.7 TeV.Finally,we discuss the possibility of probing these new particles at the high luminosity LHC via the QCD process pp→DD followed byD→s(b)X_I,D→s(b)Z'X_I,and then Z'→μ~+μ~-.Taking a benchmark point of m_Q=1.93 TeV,m_(Z')=170 GeV,and m_(X_I)=145 GeV,we perform a detailed Monte Carlo simulation and find that this benchmark point can be accessed at the 14 TeV LHC with an integrated luminosity of 3000 fb~(-1).