2021/04/30 by Andreas Ekstedt · 40 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Bubble #Computer science #Convergence (economics) #Cosmology and Gravitation Theories #Derivative (finance) #Mathematical analysis #Mathematics #Mechanics #Nucleation #Order (exchange) #Phase transition #Physics #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Rate of convergence #Scalar (mathematics) #Statistical physics #Thermodynamics #Tree (set theory) #hep-ph
paper · pdf · open access · doi:10.1140/epjc/s10052-022-10130-5
published in The European Physical Journal C 82(2) (Springer Science+Business Media) · Moved several subsections to the appendix. Additional details added in section 2
openalex created_date 2021/05/10 · openalex publication_date 2022/02/01 · arxiv created 2022/02/28 · arxiv updated 2022/03/01 · openalex updated_date 2026/08/05
In this paper I discuss how to consistently incorporate higher-order corrections to the bubble-nucleation rate at finite temperature. Doing so I examine the merits of different approaches, with the goal of reducing uncertainties for gravitational-wave calculations. To be specific, the region of applicability and accuracy of the derivative expansion is discussed. The derivative expansion is then compared to a numerical implementation of the Gelfand-Yaglom theorem. Both methods are applied to popular first-order phase transition models, like a loop-induced barrier and a SM-EFT tree-level barrier. The results of these calculations are presented in easy-to-use parametrizations that can directly be used in gravitational-wave calculations. In addition, higher-order corrections for models with multiple scalar fields, such as singlet/triplet extensions, are studied. Lastly, the convergence and uncertainty of all calculations are discussed in detail. And I argue that leading-order results for the Standard Model with a tree-level barrier might be inaccurate.