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An Effective Sphaleron Awakens

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arxiv 2506.01585 v1 pith:V3DMEH7H submitted 2025-06-02 hep-ph

classification hep-ph
keywords phasesphaleroneffectiveratetheorybaryonfieldformulation
verification ladder T0 review T1 audit T2 compute T3 formal
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Using thermal effective field theory, we present a self-consistent perturbative formulation of the Higgs phase sphaleron rate after a radiatively-induced first-order phase transition. This gauge-invariant formulation is based on dimensionally reduced effective field theory (3D EFT) at high temperatures and paves a way for including higher order corrections within the 3D EFT perturbation theory without double counting. Concretely, we compute the Higgs phase sphaleron rate in a semi-classical approximation within the two-loop resummed 3D EFT. We find compact results for the sphaleron rate and the baryon washout factor as well as criteria for the baryon number preservation by providing a clear connection to the results obtained using a similar 3D EFT description for the bubble nucleation. We demonstrate these calculations for the real triplet-extended Standard Model, and conclude that when all two-loop thermal effects for the matching are accounted, no sufficiently strong one-step electroweak phase transitions exist within the parameter space regime that can be mapped onto the 3D EFT we have considered.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hot news on the phase structure of the SMEFT

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A full O(g^4) dimensional reduction of the dimension-six SMEFT shows that the top-Higgs operator O_tphi can trigger a first-order electroweak phase transition with zero (phi-dagger phi)^3 coupling at zero temperature.

  2. Cosmological phase transitions without high-temperature expansions

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A hard-soft split combined with a finite-temperature Loop-Tree Duality method computes the resummed 4d thermal effective potential without high-temperature expansions, demonstrated in a scalar-Yukawa model.

  3. DMRadio-Core: A new approach for GUT-scale axion searches

    hep-ex 2026-04 unverdicted novelty 6.0 of 10

    Electroweak-symmetric domain walls produce the observed baryon asymmetry when CP-odd sources and the hierarchy of wall, source, and diffusion lengths suppress face-to-face cancellation.

  4. Hard thermal contributions to phase transition observables at NNLO

    hep-ph 2026-02 conditional novelty 6.0 of 10

    Three-loop thermal masses and two-loop quartic couplings complete the O(g^6) high-temperature EFT of U(1) and SU(N) gauge-Higgs models, with a missing contribution identified in a known three-loop master integral.

  5. Electroweak Baryogenesis: Advances in Sphaleron Rate Calculations and Implications of Thermal Phase Transitions

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Sphaleron rates can be computed gauge-invariantly in 3D thermal EFT, yielding a new baryon-washout criterion x = lambda3/g3^2 that replaces v_c/T_c > 1 for electroweak baryogenesis.

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