Spectroscopy of Family Gauge Bosons

TL;DR

This paper explores the potential detection of family gauge bosons predicted by a specific U(3) model, analyzing their mass eigenstates and possible experimental signatures at colliders and in rare decays.

Contribution

It investigates the phenomenology of family gauge bosons within Sumino's model, including mass eigenstates and experimental signatures under flavor constraints.

Findings

Possible production of lightest family gauge boson at LHC

Constraints from $K^0$-$ar{K}^0$ mixing on model parameters

Predictions for rare $K$ and $B$ decay processes

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, $\mu^- N \rightarrow e^- N$, rare $K$ and $B$ decays, and so on.