How arbitrary are perturbative calculations of the electroweak phase transition?

Abstract

We investigate the extent to which perturbative calculations of the electroweak phase transition are arbitrary and uncertain, owing to their gauge, renormalisation scale and scheme dependence, as well as treatments of the Goldstone catastrophe and daisy diagrams. Using the complete parameter space of the Standard Model extended by a real scalar singlet with a ${\mathbb{Z}}_2$ symmetry as a test, we explore the properties of the electroweak phase transition in general $R_{\xi }$ and covariant gauges, OS and $\overline{\text{MS}}$ renormalisation schemes, and for common treatments of the Goldstone catastrophe and daisy diagrams. Reassuringly, we find that different renormalisation schemes and different treatments of the Goldstone catastrophe and daisy diagrams typically lead to only modest changes in predictions for the critical temperature and strength of the phase transition. On the other hand, the gauge and renormalisation scale dependence may be significant, and often impact the existence of the phase transition altogether.

45 pages, 16 figures and 2 tables; version accepted for publication in JHEP; Correct the signs of mu in Table 2

References in corpus (28)

• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• Complex Singlet Extension of the Standard Model
• Testing Electroweak Baryogenesis with Future Colliders
• Singlet-Catalyzed Electroweak Phase Transitions and Precision Higgs Studies
• Strong First Order Electroweak Phase Transition in the CP-Conserving 2HDM Revisited
• FlexibleSUSY -- A spectrum generator generator for supersymmetric models
• A unified explanation for dark matter and electroweak baryogenesis with direct detection and gravitational wave signatures
• On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
• Consistent Use of the Standard Model Effective Potential
• Dynamics of Electroweak Phase Transition In Singlet-Scalar Extension of the Standard Model
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• Standard Model with a Complex Scalar Singlet: Cosmological Implications and Theoretical Considerations
• Consistent Use of Effective Potentials
• On the gauge dependence of vacuum transitions at finite temperature
• Cosmological Phase Transitions and their Properties in the NMSSM
• The Higgs Vacuum Uplifted: Revisiting the Electroweak Phase Transition with a Second Higgs Doublet
• Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended SM
• New Insights of Electroweak Phase Transition in NMSSM
• Ultra-relativistic bubbles from the simplest Higgs portal and their cosmological consequences
• Combining thermal resummation and gauge invariance for electroweak phase transition
• First-order electroweak phase transitions: a nonperturbative update
• On gauge dependence of gravitational waves from a first-order phase transition in classical scale-invariant $U(1{)}^{\prime }$ models
• Supercooling and phase coexistence in cosmological phase transitions
• Radiative first-order phase transitions to next-to-next-to-leading order
• Convergence of the nucleation rate for first-order phase transitions
• Lower bound on the electroweak wall velocity from hydrodynamic instability

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