Spectroscopy of Family Gauge Bosons

Spectroscopy of family gauge bosons is investigated based on a U(3) family gauge boson model proposed by Sumino. In his model, the family gauge bosons are in mass eigenstates in a diagonal basis of the charged lepton mass matrix. Therefore, the family numbers are defined by $(e_1,e_2, e_3)=(e, μ, τ)$, while the assignment for quark sector are free. For possible family-number assignments $(q_1, q_2, q_3)$, under a constraint from $K^0$-$\bar{K}^0$ mixing, we investigate possibilities of new physics, e.g. production of the lightest family gauge boson at the LHC, $μ^- N \rightarrow e^- N$, rare $K$ and $B$ decays, and so on.

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