Higher-order corrections to the bubble-nucleation rate at finite temperature

Ekstedt, Andreas

doi:10.1140/epjc/s10052-022-10130-5

Cited by 32 publications

(39 citation statements)

References 127 publications

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“…(1.2), we see that terms enhanced by negative powers of g result from the intermediate scale (and implicitly from the thermal scale), compared to the contributions from the nucleation scale, encoded by the (ln A)-term that is of O(1) up to possible logarithms of g. Thus, one can interpret the two first orders as creating an effective description for the nucleating field. Now we match to the nucleation scale by matching the 1PI action for the φ 3 -field in analogy to a scalar field theory [55] and SU(2) + Higgs theory [63]. 7 The matching helps to understand better the physical picture coming from scale separations.…”

Section: Matching From Intermediate Scale To Nucleation Scalementioning

confidence: 99%

“…For a more detailed discussion on 3d EFT for bubble nucleation, see [55] as well as [63] for technical details on computing higher order contributions.…”

Section: Matching From Intermediate Scale To Nucleation Scalementioning

confidence: 99%

“…Our perturbative computation provides a sound, gauge-invariant comparison for such non-perturbative analyses, and allows to further investigate the validity of the perturbative approach. Another interesting future direction would be to apply recent developments [63] to the Abelian Higgs Model discussed in our work and focus on the computation of nucleation determinants without derivative expansion, which allows one to pursue higher order corrections to the nucleation rate. general covariant gauge, or Fermi gauge, defined by the gauge fixing term…”

Section: Implications and Outlookmentioning

confidence: 99%

“…This allows us to show the attainability of a consistent description for nucleation and link the high-temperature nucleation to classical nucleation theory. Previous work has employed 3d EFT methods to analyse bubble nucleation in [61][62][63], yet these works have not demonstrated gauge independence of the nucleation rate. Although our setup is generic for gauge field theories with a radiative barrier, we focus on the Abelian Higgs model by following [49,50,64] to simplify the calculations and reasoning.…”

Section: Introductionmentioning

confidence: 99%

“…See, for example, the recent work of Ref. [63] on the SU(2) + Higgs theory that exhibits a radiative barrier.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory

Hirvonen¹,

Löfgren²,

Ramsey-Musolf³

et al. 2021

Preprint

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A gauge-invariant framework for computing bubble nucleation rates at finite temperature in the presence of radiative barriers was presented and advocated for model-building and phenomenological studies in an accompanying article [1]. Here, we detail this computation using the Abelian Higgs Model as an illustrative example. Subsequently, we recast this approach in the dimensionally-reduced high-temperature effective field theory for nucleation. This allows one to include several higher order thermal resummations and furthermore delineate clearly the approach's limits of validity. This approach provides for robust perturbative treatments of bubble nucleation during possible first order cosmic phase transitions, with implications for electroweak baryogenesis and production of a stochastic gravitational wave background. Furthermore, it yields a sound comparison between results of perturbative and non-perturbative computations.

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Section: Matching From Intermediate Scale To Nucleation Scalementioning

confidence: 99%

“…For a more detailed discussion on 3d EFT for bubble nucleation, see [55] as well as [63] for technical details on computing higher order contributions.…”

Section: Matching From Intermediate Scale To Nucleation Scalementioning

confidence: 99%

Section: Implications and Outlookmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…See, for example, the recent work of Ref. [63] on the SU(2) + Higgs theory that exhibits a radiative barrier.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory

Hirvonen¹,

Löfgren²,

Ramsey-Musolf³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

How arbitrary are perturbative calculations of the electroweak phase transition?

Athron

Balázs

Fowlie

et al. 2023

J. High Energ. Phys.

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We investigate the extent to which perturbative calculations of the electroweak phase transition are arbitrary and uncertain, owing to their gauge, renormalisation scale and scheme dependence, as well as treatments of the Goldstone catastrophe and daisy diagrams. Using the complete parameter space of the Standard Model extended by a real scalar singlet with a ℤ2 symmetry as a test, we explore the properties of the electroweak phase transition in general Rξ and covariant gauges, OS and $$ \overline{\textrm{MS}} $$ MS ¯ renormalisation schemes, and for common treatments of the Goldstone catastrophe and daisy diagrams. Reassuringly, we find that different renormalisation schemes and different treatments of the Goldstone catastrophe and daisy diagrams typically lead to only modest changes in predictions for the critical temperature and strength of the phase transition. On the other hand, the gauge and renormalisation scale dependence may be significant, and often impact the existence of the phase transition altogether.

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Perturbative effective field theory expansions for cosmological phase transitions

Gould,

Tenkanen

2024

J. High Energ. Phys.

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Guided by previous non-perturbative lattice simulations of a two-step electroweak phase transition, we reformulate the perturbative analysis of equilibrium thermodynamics for generic cosmological phase transitions in terms of effective field theory (EFT) expansions. Based on thermal scale hierarchies, we argue that the scale of many interesting phase transitions is in-between the soft and ultrasoft energy scales, which have been the focus of studies utilising high-temperature dimensional reduction. The corresponding EFT expansions provide a handle to control the perturbative expansion, and allow us to avoid spurious infrared divergences, imaginary parts, gauge dependence and renormalisation scale dependence that have plagued previous studies. As a direct application, we present a novel approach to two-step electroweak phase transitions, by constructing separate effective descriptions for two consecutive transitions. Our approach provides simple expressions for effective potentials separately in different phases, a numerically inexpensive method to determine thermodynamics, and significantly improves agreement with the non-perturbative lattice simulations.

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Higher-order corrections to the bubble-nucleation rate at finite temperature

Cited by 32 publications

References 127 publications

Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory

Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory

How arbitrary are perturbative calculations of the electroweak phase transition?

Perturbative effective field theory expansions for cosmological phase transitions

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