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arxiv 2104.11804 v2 pith:6QTCOX4F submitted 2021-04-23 hep-ph

Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature

classification hep-ph
keywords calculationsbarriercorrectionshigher-orderbubble-nucleationderivativediscussedexpansion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

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