# Lepton specific two-Higgs-doublet model based on a $U(1)_X$ gauge symmetry with dark matter

## TL;DR

This paper proposes a lepton-specific two-Higgs-doublet model with an additional $U(1)_X$ gauge symmetry, incorporating dark matter candidates and analyzing their phenomenological implications including collider and dark matter physics.

## Contribution

It introduces a novel $U(1)_X$ gauge symmetry-based lepton-specific 2HDM with anomaly cancellation, dark matter stability, and comprehensive phenomenological analysis.

## Key findings

- Identifies viable parameter regions consistent with phenomenological constraints.
- Analyzes the impact of the $Z'$ boson on collider physics.
- Demonstrates dark matter candidate stability and interactions.

## Abstract

We discuss a two Higgs doublet model with extra $U(1)_X$ gauge symmetry where lepton specific (type-X) structure for Yukawa interactions is realized by charge assignment of fields under the $U(1)_X$. Extra charged leptons are introduced to cancel gauge anomaly associated with extra gauge symmetry. In addition, we introduce scalar fields as dark matter candidates to which we assign $Z_2$ odd parity for guaranteeing stability of them. We then analyze phenomenology of the model such as scalar potential, muon anomalous magnetic dipole moment, collider physics associated with $Z'$ boson from $U(1)_X$, and dark matter physics. Carrying out numerical analysis we search for phenomenologically viable parameter region.