$W-$mass and Muon $g-2$ in Inert 2HDM Extended by Singlet Complex Scalar

TL;DR

This paper explores an extended Inert Two Higgs Doublet Model with a complex scalar singlet to simultaneously explain the recent anomalies in the W-boson mass and muon g-2 measurements, consistent with existing collider constraints.

Contribution

It introduces a specific scalar extension to the I2HDM that can account for both anomalies while satisfying collider and decay constraints.

Findings

Model can simultaneously explain W-mass and muon g-2 anomalies.

Parameter space consistent with LEP and LHC data.

Extension remains compatible with existing experimental bounds.

Abstract

The deviations of the recent measurements of the muon magnetic moment and the $W-$boson mass from their SM predictions hint to new physics beyond the SM. In this article, we address the observed discrepancies in the $W$-boson mass and muon anomalous magnetic moment in the Inert Two Higgs Doublet Model (I2HDM) extended by a complex scalar field singlet under the SM gauge group. The model is constrained from the existing LEP data and the measurements of partial decay widths to gauge bosons at LHC. It is shown that a large subset of this constrained parameter space of the model can simultaneously accommodate the $W$-boson mass and also explain the muon $g-2$ anomaly.