Family Gauge Bosons with an Inverted Mass Hierarchy

TL;DR

This paper proposes a SUSY-compatible family gauge boson model with an inverted mass hierarchy, exploring its phenomenological implications such as deviations in tau decay universality.

Contribution

It introduces a novel inverted mass hierarchy model for family gauge bosons applicable to SUSY frameworks, differing from the original Sumino model.

Findings

Inverted mass hierarchy $m(A_i^i) \,\propto \, 1/\sqrt{m_{ei}}$

Deviation from $e$-$\mu$ universality in tau decays

Model's phenomenological implications analyzed

Abstract

A model that gives family gauge bosons with an inverted mass hierarchy is proposed, stimulated by Sumino's cancellation mechanism for the QED radiative correction to the charged lepton masses. The Sumino mechanism cannot straightforwardly be applied to SUSY models because of the non-renormalization theorem. In this talk, an alternative model which is applicable to a SUSY model is proposed. It is essential that family gauge boson masses $m(A_i^j)$ in this model is given by an inverted mass hierarchy $m(A_i^i) \propto 1/\sqrt{m_{ei}}$, in contrast to $m(A_i^i) \propto \sqrt{m_{ei}}$ in the original Sumino model. Phenomenological meaning of the model is also investigated. In particular, we notice a deviation from the $e$-$\mu$ universality in the tau decays.