# Anomalous leptonic U(1) symmetry: Syndetic origin of the QCD axion, weak-scale dark matter, and radiative neutrino mass

## TL;DR

This paper extends the leptonic U(1) symmetry to include new particles, resulting in a model that explains the strong CP problem, provides dark matter candidates, and generates neutrino masses, with testable predictions at the LHC.

## Contribution

It introduces a unified framework linking the QCD axion, dark matter, and neutrino masses through an extended leptonic U(1) symmetry with new fermions and scalars.

## Key findings

- The model predicts an invisible QCD axion solving the strong CP problem.
- It provides a weak-scale dark matter candidate.
- A color-triplet scalar could be detected at the LHC.

## Abstract

The well-known leptonic U(1) symmetry of the standard model of quarks and leptons is extended to include a number of new fermions and scalars. The resulting theory has an invisible QCD axion (thereby solving the strong CP problem), a candidate for weak-scale dark matter, as well as radiative neutrino masses. A possible key connection is a color-triplet scalar, which may be produced and detected at the Large Hadron Collider.