\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
We investigate the effect of a large-scale background hypermagnetic field on the electroweak phase transition. We propose an effective weak angle which is varying during the electroweak phase transition and upon its use, show that for a strong enough hypermagnetic field the phase transition occurs in two steps and becomes first-order. We obtain all of the important quantities characterizing the details of the phase transition, including the phase transition latent heat, temperature and duration. We then explore one of the consequences of this model which is the generation of gravitational waves. We calculate the gravitational wave spectrum generated during the first-order electroweak phase transition and find that, for strong enough background hypermagnetic fields, these signals can be detected by the Ultimate-DECIGO and BBO correlated interferometers.
\end{document}