The renormalized gauge coupling and non-perturbative tests of dimensional reduction

Abstract

In 4d lattice simulations of Standard Model like theories, the renormalized gauge coupling in the broken phase can be determined from the prefactor of the Yukawa term in the static potential. We compute the same quantity in terms of the conventional MSbar scheme gauge coupling. The result allows for a further non-perturbative test of finite temperature dimensional reduction, by a comparison of the critical temperatures for the electroweak phase transition as obtained with 4d lattice simulations and with 3d effective theory simulations.

17 pages; a slightly extended version, results unchanged

References in corpus (10)

• Endpoint of the hot electroweak phase transition
• The static potential in QCD to two loops
• The universality class of the electroweak theory
• The MSSM Electroweak Phase Transition on the Lattice
• The endpoint of the first-order phase transition of the SU(2) gauge-Higgs model on a 4-dimensional isotropic lattice
• What's new with the electroweak phase transition?
• Inverse Symmetry Breaking with 4d Lattice Simulations
• Higgs sector CP-violation at the electroweak phase transition
• The strength of the electroweak phase transition at $m_H\approx$ 80 GeV
• Static Potential in the SU(2)-Higgs Model and Coupling Constant Definitions in Lattice and Continuum Models

Cited by in corpus (19)

• The Standard Model cross-over on the lattice
• The Status of Lattice QCD at Finite Temperature
• Static correlation lengths in QCD at high temperatures and finite densities
• Standard Model thermodynamics across the electroweak crossover
• Lattice study of an electroweak phase transition at m_h ~ 126 GeV
• The spectrum of the three-dimensional adjoint Higgs model and hot SU(2) gauge theory
• Lattice QCD at finite temperature and density
• Two-loop dimensional reduction and effective potential without temperature expansions
• Electroweak Phase Transition in Non-Minimal Higgs Sectors
• Sommerfeld-corrected relic abundance of wino dark matter with NLO electroweak potentials
• Wino potential and Sommerfeld effect at NLO
• Electroweak Phase Transitions
• Electroweak Sphaleron in a Magnetic field
• Static correlation lengths in QCD at high temperature and finite density
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• Static Potential in the SU(2)-Higgs Model and Coupling Constant Definitions in Lattice and Continuum Models
• Dimensional Reduction, Hard Thermal Loops and the Renormalization Group
• Beta-functions in Yang-Mills Theory from Non-critical String
• NLO electroweak potentials for minimal dark matter and beyond