A leptoquark and vector-like quark extended model for the simultaneous explanation of the $W$ boson mass and muon $g-2$ anomalies

TL;DR

This paper proposes a model extending the standard model with vector-like quarks and leptoquarks to simultaneously explain the recent $W$ boson mass measurement and the muon $g-2$ anomaly, providing positive corrections and chiral enhancements.

Contribution

It introduces a combined VLQ and leptoquark model that addresses both the $W$ mass discrepancy and the muon $g-2$ anomaly in a unified framework.

Findings

The model yields positive corrections to the $W$ boson mass.

It provides a solution to the muon $g-2$ anomaly through chiral enhancements.

The proposed extension is consistent with current experimental observations.

Abstract

The CDF collaboration recently announced a new measurement result of the $W$ boson mass, and it is in tension with the standard model (SM) prediction. In this paper, we explain this anomaly in the vector-like quark (VLQ) $(X,T,B)_{L,R}$ and leptoquark (LQ) $S_3$ extended model. In this model, both the VLQ and LQ have positive corrections to the $W$ boson mass. Moreover, it can also be a solution to the $(g-2)_{\mu}$ anomaly because of the chiral enhancements from top, $T$, and $B$ quarks.