Can Mass of the Lightest Family Gauge Boson be of the Order of TeV?

TL;DR

This paper explores the possibility that the lightest family gauge boson could have a mass around 1 TeV, motivated by deviations in tau decays and constrained by meson mixing data, within a specific theoretical model.

Contribution

It proposes a model where the lightest family gauge boson has a TeV-scale mass, consistent with experimental constraints and observed decay deviations.

Findings

A TeV-scale mass for the lightest gauge boson is feasible.

The model aligns with tau decay deviations and meson mixing constraints.

Potential implications for collider searches of family gauge bosons.

Abstract

The observed sign of a deviation from the $e$-$\mu$ universality in tau decays suggests family gauge bosons with an inverted mass hierarchy. Under the constraints from the observed $K^0$-$\bar{K}^0$ and $D^0$-$\bar{D}^0$ mixing, we investigate a possibility that a mass $M_{33}$ of the lightest gauge boson $A_3^3$ which couples with only the third generation quarks and leptons is of the order of TeV. It is concluded that $M_{33} \sim 1$ TeV is possible if we adopt a specific model phenomenologically.