N=2 SUSY Abelian Higgs model with hidden sector and BPS equations

TL;DR

This paper explores a supersymmetric Abelian Higgs model with a hidden sector, analyzing BPS equations for stable string solutions and revealing new interactions relevant for dark matter models.

Contribution

It introduces a supersymmetric extension of a kinetic mixing model with a Higgs portal, providing analytical and numerical analysis of topological string solutions.

Findings

Extended SUSY model with kinetic mixing and Higgs portal

Analytical and numerical solutions for BPS string equations

Validation of results through two different approaches

Abstract

In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios. In our set-up, two Abelian gauge fields interact via an operator that mixes their kinetic terms. We find the extended Supersymmetric version of this system, that also generates a Higgs portal type of interaction. We obtain and study both analytically and numerically, the equations defining topologically stable string-like objects. We check our results using two different approaches. Various technical details are explicitly stated for the benefit of various readers.