Gauge Kinetic Mixing and Dark Topological Defects

Abstract

We discuss how the topological defects in the dark sector affect the Standard Model sector when the dark photon has a kinetic mixing with the QED photon. In particular, we consider the dark photon appearing in the successive gauge symmetry breaking, $\mathrm{SU}(2)\to \mathrm{U}(1)\to {\mathbb{Z}}_2$, where the remaining ${\mathbb{Z}}_2$ is the center of $\mathrm{SU}(2)$. In this model, the monopole is trapped into the cosmic strings and forms the so-called bead solution. As we will discuss, the dark cosmic string induces the QED magnetic flux inside the dark string through the kinetic mixing. The dark monopole, on the other hand, does not induce the QED magnetic flux in the U(1) symmetric phase, even in the presence of the kinetic mixing. Finally, we show that the dark bead solution induces a spherically symmetric QED magnetic flux through the kinetic mixing. The induced flux looks like the QED magnetic monopole viewed from a distance, although QED satisfies the Bianchi identity everywhere, which we call a pseudo magnetic monopole.

39 pages, 8 figures

References in corpus (11)

• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Precision Early Universe Thermodynamics made simple: $N_{\mathrm{eff}}$ and Neutrino Decoupling in the Standard Model and beyond
• Cosmological Constraints on Very Dark Photons
• Cosmological Constraint on Dark Photon from $N_{\mathrm{eff}}$
• A Practical and Consistent Parametrization of Dark Matter Self-Interactions
• Cosmic Strings in Hidden Sectors: 1. Radiation of Standard Model Particles
• Probing Dark Matter Self-interaction with Ultra-faint Dwarf Galaxies
• Dark Strings
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Chiral Dark Sector
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --