Spectroscopy of Family Gauge Bosons

Abstract

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 $(e_1,e_2,e_3)=(e,\mu ,\tau )$, 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, ${\mu }^{-}N\to e^{-}N$, rare $K$ and $B$ decays, and so on.

Comments: 15 pages. 1 figure. accepted to PLB. arXiv admin note: text overlap with arXiv:1146374