Higgs Model Coupled to Dark Photons

TL;DR

This paper explores a dark sector model with a Higgs and dark photon, analyzing how kinetic mixing affects particle masses and annihilation cross sections, including Sommerfeld enhancement, with potential extensions to larger gauge groups.

Contribution

It introduces a model where a dark Higgs and dark photon interact via kinetic mixing, affecting mass scales and annihilation processes, and extends to larger gauge groups.

Findings

Dark gauge boson mass is rescaled by kinetic mixing parameter.

Scalar Higgs annihilation cross section exhibits Sommerfeld enhancement.

Dark Z boson mass increases due to kinetic mixing.

Abstract

A dark sector containing a Higgs field and a dark photon coupled to visible photons via a small kinetic mixing is considered. The mass of the dark gauge boson becomes rescaled by the parameter involved in the kinetic mixing. We also calculate the total annihilation cross section for scalar Higgs interacting with an external field and show that exhibits Sommerfeld enhancement. The model can be extended to a $SU(3)\times SU(2)\times U(1)$ dark sector. The mass of the dark $Z$ boson increases due to the kinetic mixing.