Electroweak Sphaleron with Dimension-6 Operators

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.

arXiv commentv2: 16 pages plus appendices, 2 figures, 2 tables; matches PRD version; v3: fixed label in Fig. 1

References in corpus (23)

• First-Order Electroweak Phase Transition in the Standard Model with a Low Cutoff
• Baryon Washout, Electroweak Phase Transition, and Perturbation Theory
• Dynamics of Non-renormalizable Electroweak Symmetry Breaking
• Higgs windows to new physics through d = 6 operators: Constraints and one-loop anomalous dimensions
• Towards the Ultimate SM Fit to Close in on Higgs Physics
• Higgs At Last
• What is the Criterion for a Strong First Order Electroweak Phase Transition in Singlet Models?
• Standard Model with a Complex Scalar Singlet: Cosmological Implications and Theoretical Considerations
• Baryon and lepton number violation rates across the electroweak crossover
• Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended SM
• Testing the electroweak phase transition and electroweak baryogenesis at the LHC and a circular electron-positron collider
• Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM
• Effective Field Theory and Electroweak Baryogenesis in the Singlet-Extended Standard Model
• Standard Model Extended by a Heavy Singlet: Linear vs. Nonlinear EFT
• Effective field theory, electric dipole moments and electroweak baryogenesis
• Sphalerons in composite and non-standard Higgs models
• Sphalerons at finite temperature
• Electroweak Baryogenesis with Anomalous Higgs Couplings
• Electroweak bubbles and sphalerons
• Effective Lagrangian Approach to Electroweak Baryogenesis: Higgs mass limit and Electric dipole moments of fermion
• Electroweak baryogenesis in the framework of the effective field theory
• TASI 2013 lectures on Higgs physics within and beyond the Standard Model
• Sphaleron And Critical bubble in a scale invariant model : ReAnalysis

Cited by in corpus (24)

• Progress on Cosmological Magnetic Fields
• Electroweak Couplings of the Higgs Boson at a Multi-TeV Muon Collider
• Higgs Pair Production at Future Hadron Colliders: From Kinematics to Dynamics
• Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches
• Probing Baryogenesis through the Higgs Self-Coupling
• Electroweak Baryogenesis from Temperature-Varying Couplings
• Complementarity of the future $e^{+}{e}^{-}$ colliders and gravitational waves in the probe of complex singlet extension to the Standard Model
• Gravitational Waves from first-order phase transition and domain wall
• Electroweak Phase Transition and Gravitational Waves in the Type-II Seesaw Model
• Probing the Electroweak Sphaleron with Gravitational Waves
• A New Approach to Electroweak Symmetry Non-Restoration
• Gravitational wave and electroweak baryogenesis with two Higgs doublet models
• Sphaleron in the first-order electroweak phase transition with the dimension-six Higgs operator
• Strongly first-order electroweak phase transition by relatively heavy additional Higgs bosons
• Higgs boson coupling as a probe of the sphaleron property
• On the Validity of the Effective Potential and the Precision of Higgs Self Couplings
• Standard Model Effective Field Theory: Integrating out Neutralinos and Charginos in the MSSM
• Sphaleron bound in some nonstandard cosmology scenarios
• CP-violating effects on gravitational waves in a complex singlet extension of the Standard Model with degenerate scalars
• Sphaleron in the Higgs Triplet Model
• A generalized Higgs potential with two degenerate minima for a dark QCD matter scenario
• Baryogenesis in $SU(2{)}_L$ multiplet models
• Twin electroweak bubble nucleation and gravitational wave under the $S_3$ symmetry of two-Higgs-doublet model
• A Catalog of First-Order Electroweak Phase Transitions in the Standard Model Effective Field Theory