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Theoretical Uncertainties in First-Order Electroweak Phase Transitions

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arxiv 2503.19566 v1 pith:MP5TIAII submitted 2025-03-25 hep-ph astro-ph.COhep-th

classification hep-phastro-ph.COhep-th
keywords phaseschemefirst-ordertransitionanalyseschemicaldependenceelectroweak
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We systematically investigate theoretical uncertainties in perturbative analyses of first-order electroweak phase transitions (EWPT). Utilizing the Standard Model Effective Field Theory (SMEFT) framework, we quantify the gauge dependence, renormalization scheme, and scale dependences in predicting phase-transition parameters across both zero and finite chemical potential regimes. Our key findings reveal that: 1) the gauge-parameter dependence and the chemical potential are subdominants, and 2) Baryon number preservation criteria and phase transition observables exhibit pronounced sensitivity to the renormalization scale in the ${\overline{\rm MS}}$ scheme. Comparative analyses with the on-shell scheme demonstrate that within strongly first-order EWPT parameter spaces, the ${\overline{\rm MS}}$ scheme predicts enhanced phase transition strengths and prolonged transition durations.

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Cited by 4 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. 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.

  3. RGE effects on new physics searches via gravitational waves

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Future GW experiments retain sensitivity to several SMEFT operators despite renormalization scale uncertainties, provided the leading (H†H)^3 operator is measured by colliders.

  4. Measuring gravitational wave spectrum from electroweak phase transition and Higgs self-couplings

    hep-ph 2025-11 unverdicted novelty 5.0 of 10

    Using simulated Taiji data, the authors show that a stochastic gravitational-wave signal from an electroweak phase transition in the singlet-extended Standard Model can constrain the Higgs cubic and quartic self-couplings.

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