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Electroweak Sphaleron with Dimension-6 Operators
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abstract
New physics at the TeV scale can affect the dynamics of the electroweak phase transition in many ways. In this note, we evaluate its impact on the rate of baryon-number violation via sphaleron transitions. We parameterize the effect of new physics with dimension-6 operators, and we use the Newton-Kantorovich method to numerically solve the resulting equations of motion. Depending on the sign of the coefficient of the dimension-6 operators, their presence can either increase or decrease the sphaleron energy at the level of a few percent, parametrically of order $m_W^2 / \Lambda^2$ where $\Lambda$ is the scale suppressing the dimension-6 operator. The baryon-number washout condition, typically written as $v_c / T_c > 1$, is directly proportional to the sphaleron energy, and we discuss how the presence of dimension-6 operators can affect electroweak baryogenesis.
Forward citations
Cited by 4 Pith papers
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An Effective Sphaleron Awakens
A consistent 3D EFT computation of the Higgs phase sphaleron rate yields universal baryon preservation bounds x ≈ 0.025 (strong) and x ≈ 0.036 (weak), and shows two-loop corrections eliminate strong one-step transitio...
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Impact of dimension-8 SMEFT operators on baryogenesis via sphaleron decoupling
Five of seven CP-violating dimension-8 SMEFT operators can individually reproduce the observed baryon asymmetry, with effective new-physics scales near 3-7 TeV.
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Standard Model Effective Field Theory and Oscillons
The SMEFT operator O6=(Φ†Φ)³ extends SU(2) electroweak oscillon lifetimes by orders of magnitude at the physical mH/mW=1.556 for couplings below current bounds.
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Electroweak Baryogenesis: Advances in Sphaleron Rate Calculations and Implications of Thermal Phase Transitions
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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