Radiative Interactions between New Non-Abelian Gauge Sector and the Standard Model

TL;DR

This paper explores how a new non-Abelian gauge sector interacts with the Standard Model through radiative kinetic mixing, proposing a dark matter model where stability and relic density are analyzed.

Contribution

It introduces a novel mechanism for gauge interaction mixing via one-loop processes and constructs a UV-complete dark matter model with a stable scalar candidate.

Findings

Kinetic mixing between $SU(2)_H$ and $U(1)_Y$ is generated radiatively.

Dark matter relic density is computed considering $SU(2)_H$ interactions.

The scalar doublet serves as a dark matter candidate with stability from residual symmetry.

Abstract

We discuss one loop generation of the term connecting gauge fields from a local hidden $SU(2)_H$ and the standard model $U(1)_Y$ introducing an $SU(2)_H$ doublet fermion with non-zero hypercharge and a scalar field in adjoint representation. Then we obtain a kinetic mixing term between $SU(2)_H$ and $U(1)_Y$ gauge fields after the adjoint scalar field developing vacuum expectation value. We illustrate such a concrete scenario introducing a dark matter model in an ultraviolet (UV) completion with local $SU(2)_H$ symmetry where the scalar doublet is our dark matter candidate and its stability is guaranteed by remnant $Z_2$ symmetry from $SU(2)_H$. Relic density of dark matter is calculated focusing on the case in which dark matter annihilate into known particles via $SU(2)_H$ gauge interactions with radiatively induced kinetic mixing.