# Testing the 2HDM explanation of the muon g-2 anomaly at the LHC

## TL;DR

This paper investigates a two Higgs doublet model that explains the muon g-2 anomaly through lepton flavor violating interactions, and explores its testability at the LHC via multi-lepton signatures.

## Contribution

It introduces a 2HDM with LFV couplings that can account for the muon g-2 discrepancy and proposes LHC search strategies for the resulting Higgs bosons.

## Key findings

- The model can explain the muon g-2 anomaly with sizable LFV couplings.
- Extra Higgs bosons predominantly decay into μτ modes.
- LHC can potentially detect these Higgs bosons through multi-lepton events.

## Abstract

The discrepancy between the measured value and the Standard Model prediction for the muon anomalous magnetic moment is one of the important issues in the particle physics. In this paper, we consider a two Higgs doublet model (2HDM) where the extra Higgs doublet couples to muon and tau in lepton flavor violating (LFV) way and the one-loop correction involving the scalars largely contributes to the muon anomalous magnetic moment. The couplings should be sizable to explain the discrepancy, so that the extra Higgs bosons would dominantly decay into $\mu\tau$ LFV modes, which makes the model testable at the LHC through multi-lepton signatures even though they are produced via the electroweak interaction. We discuss the current status and the future prospect for the extra Higgs searches at the LHC, and demonstrate the reconstruction of the mass spectrum using the multi-lepton events.