Family Gauge Boson Production at the LHC

Abstract

Family gauge boson production at the LHC is investigated according to a $U(3)$ family gauge model with twisted family number assignment. In the model we study, a family gauge boson with the lowest mass, $A_1^1$, interacts only with the first generation leptons and the third generation quarks. (The family numbers are assigned, for example, as $(e_1,e_2,e_3)=(e^{-},{\mu }^{-},{\tau }^{-})$ and $(d_1,d_2,d_3)=(b,d,s)$[or $(d_1,d_2,d_3)=(b,s,d)$]). 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 $A_1^1$ clearly confirm or rule out the model. We calculate the cross sections of inclusive $A_1^1$ production and $b\bar{b}(t\bar{t})$ associated $A_1^1$ production at $\sqrt{s}=14\text{TeV}$ and $100\text{TeV}$. With the dielectron production cross section, we discuss the determination of diagonalizing matrix of quark mass matrix, $U_u$ and $U_d$, respectively.

Comments: 14 pages, 6 figures