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Main Author: Guiggiani, Andrea
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.18043
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author Guiggiani, Andrea
author_facet Guiggiani, Andrea
contents The dynamics of bubbles nucleated during a first-order phase transition is controlled by the non-equilibrium fluctuations generated by the traveling domain wall. An accurate modelling of the out-of-equilibrium properties of the plasma is necessary for the characterization of the phase transition relics, such as the signal of gravitational waves. In this thesis we provide a solution to the Boltzmann equation that describes the plasma fluctuations without imposing any ansatz on the perturbation by devising a new spectral method that leverages on the rotational invariance of the collision operator. This allows for a robust and fast computation of the terminal velocity of the wall. We then compare our results with the previous approaches in the literature finding important quantitative and qualitative differences. We also employ our method to determine the terminal velocity of the wall for two benchmark configurations in the singlet extended Standard Model. We finally assess the impact of different approximations and we find that the most important source of uncertainty is given by the infrared modes of the electroweak gauge bosons.
format Preprint
id arxiv_https___arxiv_org_abs_2401_18043
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bubble dynamics at the electroweak scale
Guiggiani, Andrea
High Energy Physics - Phenomenology
The dynamics of bubbles nucleated during a first-order phase transition is controlled by the non-equilibrium fluctuations generated by the traveling domain wall. An accurate modelling of the out-of-equilibrium properties of the plasma is necessary for the characterization of the phase transition relics, such as the signal of gravitational waves. In this thesis we provide a solution to the Boltzmann equation that describes the plasma fluctuations without imposing any ansatz on the perturbation by devising a new spectral method that leverages on the rotational invariance of the collision operator. This allows for a robust and fast computation of the terminal velocity of the wall. We then compare our results with the previous approaches in the literature finding important quantitative and qualitative differences. We also employ our method to determine the terminal velocity of the wall for two benchmark configurations in the singlet extended Standard Model. We finally assess the impact of different approximations and we find that the most important source of uncertainty is given by the infrared modes of the electroweak gauge bosons.
title Bubble dynamics at the electroweak scale
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2401.18043