# A $\mu$-$\tau$-philic Higgs doublet confronted with the muon g-2, $\tau$ decays and LHC data

## TL;DR

This paper introduces a two-Higgs-doublet model with a mu-tau flavor-violating Higgs doublet that explains muon g-2 and tau decay anomalies while satisfying LHC constraints.

## Contribution

It proposes a novel two-Higgs-doublet model with specific mu-tau LFV interactions that simultaneously addresses muon g-2 and tau decay anomalies.

## Key findings

- Muon g-2 excess can be explained within the model.
- Tau decay lepton universality violation is addressed.
- LHC multi-lepton searches constrain Higgs mass ranges.

## Abstract

We propose a two-Higgs-doublet model in which one Higgs doublet has the same interactions with fermions as the SM, and another Higgs doublet only has the $\mu$-$\tau$ LFV interactions. Assuming that the Yukawa matrices are real and symmetric, we impose various relevant theoretical and experimental constraints, and find that the excesses of muon $g-2$ and lepton flavour universality in the $\tau$ decays can be simultaneously explained in the region of small mass splittings between the heavy CP-even Higgs and the CP-odd Higgs ($m_A > m_H$). The multi-lepton event searches at the LHC can sizably reduce the mass ranges of extra Higgses, and $m_H$ is required to be larger than 560 GeV.