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What is the Criterion for a Strong First Order Electroweak Phase Transition in Singlet Models?

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arxiv hep-ph/0701192 v3 pith:HWHFSGV7 submitted 2007-01-23 hep-ph hep-th

classification hep-phhep-th
keywords phasesinglettransitionelectroweakcriterionfirstmodelmodels
verification ladder T0 review T1 audit T2 compute T3 formal

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It is widely believed that the existence of singlet scalars in some Standard Model extensions can easily make the electroweak phase transition strongly first order, which is needed for the electroweak baryogenesis scenario. In this paper, we will examine the strength of the electroweak phase transition in the simplest extension of the Standard Model with a real singlet using the sphaleron energy at the critical temperature. We find that the phase transition is stronger by adding a singlet; and also that the criterion for a strong phase transition Omega (Tc)/Tc>1, where Omega =(v^2+(x-x0)^2)^(1/2) and x (x0) is the singlet vev in the broken (symmetric) phase, is not valid for models containing singlets, even though often used in the literature. The usual condition vc/Tc>1 is more meaningful, and it is satisfied for a large part of the parameter space for physically allowed Higgs masses.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 120 citations worldwide. Full citation record

  1. Prospecting bipartite Dark Matter through Gravitational Waves

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A two-component dark matter model with an inert triplet scalar and a singlet fermion can explain the relic abundance while producing a strong electroweak phase transition and gravitational wave signals detectable by L...

  2. 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.

  3. Strong First-Order Electroweak Phase Transition and Gravitational Waves in a $\mathbb{Z}_4$ Fermion-Scalar Dark Matter Model

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    In a Z4 fermion-scalar dark matter model, strong first-order electroweak phase transitions and gravitational wave signals occur only in the thermal two-component regime with Mψ < MS < 2Mψ or the decay-driven WIMP-FIMP...

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