Effective potential and first-order phase transitions: Beyond leading order

Journal Article · Thu Apr 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.3546· OSTI ID:6942873

Arnold, P ^[1]; Espinosa, O ^[2]

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1. Department of Physics, University of Washington, Seattle, Washington 98195 (United States)
2. Department of Physics, University of Washington, Seattle, Washington 98195 (United States) Departimento de Fisica, Universidad Tecnica, Federico Santa Maria, Casilla 110-V, Valparaiso (Chile)

Scenarios for electroweak baryogenesis require an understanding of the effective potential at finite temperature near a first-order electroweak phase transition. Working in the Landau gauge, we present a calculation of the dominant two-loop corrections to the ring-improved one-loop potential in the formal limit [ital g][sup 4][much lt][lambda][much lt][ital g][sup 2], where [lambda] is the Higgs self-coupling and [ital g] is the electroweak coupling. The limit [lambda][much lt][ital g][sup 2] ensures that the phase transition is significantly first order, and the limit [ital g][sup 4][much lt][lambda] allows us to use high-temperature expansions. We find corrections from 20% to 40% at Higgs-boson masses relevant to the bound computed for baryogenesis in the minimal standard model. Though our numerical results seem to still rule out minimal standard model baryogenesis, this conclusion is not airtight because the loop expansion is only marginal when corrections are as big as 40%. We also discuss why superdaisy approximations do not correctly compute these corrections.

• DOE Contract Number: FG06-91ER40614
• OSTI ID: 6942873
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 47:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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HIGGS MODEL
PHASE TRANSFORMATIONS
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CALCULATION METHODS
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CP INVARIANCE
INTERMEDIATE VECTOR BOSONS
MASS
POTENTIALS
TEMPERATURE DEPENDENCE
BOSONS
ELEMENTARY PARTICLES
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HADRONS
INTERMEDIATE BOSONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
UNIFIED GAUGE MODELS
662210* - Specific Theories & Interaction Models
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