# Isospin-Violating Dark Matter in the $U(1)'$ Model with $E_6$ Origin

## TL;DR

This paper introduces a $U(1)'$ model derived from $E_6$ with isospin-violating dark matter, aiming to reconcile direct detection constraints and explore detection prospects across various experiments and colliders.

## Contribution

It presents a novel $U(1)'$ model from $E_6$ with natural isospin violation, analyzing its implications for dark matter detection and collider experiments.

## Key findings

- Achieves $f_n/f_p=-0.7$ to relax Xenon detection constraints.
- Identifies parameter spaces consistent with relic density.
- Shows future colliders can surpass current detection limits.

## Abstract

We propose a $U(1)'$ model from $E_6$ which has an isospin-violation dark matter. By choosing a proper linear combination of two extra $U(1)$ gauge symmetries in $E_6$, it is natural to realize the ratio $f_n/f_p=-0.7$ so as to maximally relax the constraints from the Xenon based direct detection experiments. We study the sensitivities of the dark matter direct and indirect detection experiments, and identify the parameter spaces that can give the observed relic density. We also study the sensitivities of the future colliders with center mass energy $\sqrt{s}$= 33/50/100 TeV, and compare the different detection methods. We show that in some parameter spaces the future colliders can give much stronger limits.