# Non-Abelian Vector Boson Dark Matter, its Unified Route and signatures at the LHC

## TL;DR

This paper explores a non-Abelian vector boson dark matter model with a specific symmetry breaking pattern, analyzing its unique signatures at the LHC and how it evades current direct detection bounds.

## Contribution

It introduces a novel $SU(2)_N$ extension with a global $U(1)_P$ symmetry, detailing its phenomenology and distinctive collider signatures.

## Key findings

- Dark matter evades direct detection bounds via specific annihilation channels.
- Exotic particles produce multilepton signals at the LHC.
- Distinctive hadronically quiet four-lepton signature identified.

## Abstract

Vector boson dark matter (DM) appears in $SU(2)_N$ extension ($N$ stands for neutral) of Standard Model (SM) where an additional global $U(1)_P$ symmetry is assumed and results in a generalized lepton number defined as: $L=P+T_{3N}$. Breaking of $U(1)_P$ leads to the breaking of $L$ to $(-1)^L$, thus stabilizing DM through modified $R=(-1)^{3B+L+2J}$. This model, already discussed in literature, offers several novel features to elaborate upon. For example, $t$-channel annihilation and dominant $s$-channel direct search, along with co-annihilation, helps the DM to evade stringent direct search bounds from LUX and XENON1T after satisfying relic density constraints. On the other hand, the exotic particles of the model can be produced at the Large Hadron Collider (LHC) yielding multilepton final states. Hadronically quiet four lepton signal with large missing energy, in specific, is shown to provide a smoking gun signature of such a framework. We study the details of $E(6) \to SM \otimes SU(2)_N$ breaking patterns (through D-parity odd/even cases) which yield important phenomenological consequences.