Family gauge boson production at the LHC

Family gauge boson production at the LHC is investigated according to a U(3)U(3) family gauge model with twisted family number assignment. In the model we study, a family gauge boson with the lowest mass, A11, interacts only with the first generation leptons and the third generation quarks. (The family numbers are assigned, for example, as (e1,e2,e3)=(e−,μ−,τ−)(e1,e2,e3)=(e−,μ−,τ−) and (d1,d2,d3)=(b,d,s)(d1,d2,d3)=(b,d,s) [or (d1,d2,d3)=(b,s,d)(d1,d2,d3)=(b,s,d)].) In the model, the family gauge coupling constant is fixed by relating to the electroweak gauge coupling constant. Thus measurements of production cross sections and branching ratios of A11 clearly confirm or rule out the model. We calculate the cross sections of inclusive A11 production and bb¯(tt¯) associated A11 production at s=14 TeV and 100 TeV100 TeV. With the dielectron production cross section, we discuss the determination of diagonalizing matrix of quark mass matrix, UuUu and UdUd, respectively.