$E_6$ Models in Light of Precision $M_W$ Measurements

TL;DR

This paper explores $E_6$ models with an extra $U(1)$ gauge symmetry to explain the recent $W$ boson mass measurement, identifying parameter space consistent with collider constraints and supersymmetric extensions.

Contribution

It demonstrates how $E_6$ models can account for the new $W$ mass and integrates supersymmetry to achieve a 125 GeV Higgs within this framework.

Findings

Parameter space consistent with $W$ mass and $Z'$ searches identified

Supersymmetric $E_6$ models can naturally produce a 125 GeV Higgs

Model accommodates collider constraints and precision measurements

Abstract

We propose a solution to the recent $W$ mass measurement by embedding the Standard Model within $E_6$ models. The presence of a new $U(1)$ group shifts the $W$ boson mass at the tree level and introduces a new gauge boson $Z^{\prime}$ which has been searched for at collider experiments. In this article, we identity the parameter space that explains the new $W$ mass measurement and is consistent with current experimental $Z^{\prime}$ searches. As $U(1)$ extensions can be accommodated in supersymmetric models, we also consider the supersymmetric scenario of $E_6$ models, and show that a 125 GeV Higgs may be easily achieved in such settings.