Family Gauge Bosons with an Inverted Mass Hierarchy

TL;DR

This paper proposes a SUSY-compatible model with family gauge bosons exhibiting an inverted mass hierarchy, addressing radiative correction issues and exploring 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, overcoming limitations of Sumino's original mechanism.

Findings

Family gauge boson masses follow an inverted hierarchy proportional to 1/√m_ei.

The model predicts deviations from e-μ universality in tau decays.

The proposed model is consistent with SUSY and phenomenological observations.

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 paper, 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 nvestigated. In particular, we notice a deviation from the $e$-$\mu$ universality in the tau decays.