# Naturally realized two dark Z's near the electroweak scale

## TL;DR

This paper introduces a new anomaly-free chiral gauge theory with two dark Z bosons, derived from string theory, which could be experimentally probed via kinetic mixing at TeV-scale accelerators.

## Contribution

It presents a novel chiral gauge theory with two dark Z bosons, derived from heterotic string theory, expanding the landscape of dark sector models.

## Key findings

- Two dark Z bosons or a dark Z and a dark photon emerge at low energy.
- The model is anomaly-free and derived from E8×E8' heterotic string theory.
- Potential experimental signatures via kinetic mixing at TeV accelerators.

## Abstract

Chiral representations are the key in obtaining light fermions from some ultra-violet completed theories. The well-known chiral example is one family set of fifteen chiral fields in the standard model. We find a new chiral theory SU(2)$_{\rm dark}\times$U(1)$_Q$ with sixteen chiral fields, which does not have any gauge and gravitational anomalies. The group SU(2)$_{\rm dark}\times$U(1)$_Q$ may belong to the dark sector, and we present a derivation of the spectrum from the E$_8\times$E$_8'$ hetrotic string. Necessarily, there appear two degrees at low energy: two dark Z's, or a dark Z plus a dark-photon. Being chiral, there is a chance to probe this theory at TeV accelerators. Since the model belongs to the dark sector, the way to probe it is through the kinetic mixing.