Gauge $U(1)$ Dark Symmetry and Radiative Light Fermion Masses

TL;DR

This paper introduces a gauge $U(1)$ family symmetry linking quarks, leptons, and dark matter, which explains fermion masses and predicts a potential 750 GeV resonance observed at the LHC.

Contribution

It proposes a novel gauge $U(1)$ symmetry that connects the dark sector with fermion mass generation and explores its phenomenological implications.

Findings

Radiative masses for first two fermion families and neutrinos are generated.

A scalar or pseudoscalar from $U(1)$ breaking could explain the 750 GeV diphoton resonance.

The model links family symmetry breaking to dark matter phenomenology.

Abstract

A gauge $U(1)$ family symmetry is proposed, spanning the quarks and leptons as well as particles of the dark sector. The breaking of $U(1)$ to $Z_2$ divides the two sectors and generates one-loop radiative masses for the first two families of quarks and leptons, as well as all three neutrinos. We study the phenomenological implications of this new connection between family symmetry and dark matter. In particular, a scalar or pseudoscalar particle associated with this $U(1)$ breaking may be identified with the 750 GeV diphoton resonance recently observed at the Large Hadron Collider (LHC).