Electroweak Sphaleron in a Magnetic field

Abstract

Using lattice simulations we calculate the rate of baryon number violating processes, the sphaleron rate, in the Standard Model with an external (hyper)magnetic field for temperatures across the electroweak cross-over, focusing on the broken phase. Additionally, we compute the Higgs expectation value and the pseudocritical temperature. The electroweak cross-over shifts to lower temperatures with increasing external magnetic field, bringing the onset of the suppression of the baryon number violation with it. When the hypermagnetic field reaches the magitude $B_Y\approx 2T^2$ the cross-over temperature is reduced from $160$ GeV to $145$ GeV. In the broken phase for small magnetic fields the rate behaves quadratically as a function of the magnetic flux. For stronger magnetic fields the rate reaches a linear regime which lasts until the field gets strong enough to restore the electroweak symmetry where the symmetric phase rate is reached.

arXiv comment15 pages, 16 figures, corrected typos, published version

References in corpus (56)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Electroweak baryogenesis
• Properties and uses of the Wilson flow in lattice QCD
• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• The origin, evolution and signatures of primordial magnetic fields
• Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
• Endpoint of the hot electroweak phase transition
• The Sphaleron Rate in the Minimal Standard Model
• Primordial Hypermagnetic Fields and Triangle Anomaly
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• Effective dynamics of soft non-abelian gauge fields at finite temperature
• The universality class of the electroweak theory
• The Standard Model cross-over on the lattice
• The hot baryon violation rate is $O({\alpha }_W^5{T}^4)$
• Chern-Simons Number Diffusion and Hard Thermal Loops on the Lattice
• Where the electroweak phase transition ends
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• Measuring the Broken Phase Sphaleron Rate Nonperturbatively
• Hot B violation, color conductivity, and log(1/alpha) effects
• Progress on Cosmological Magnetic Fields
• Baryogenesis from Decaying Magnetic Helicity
• Sphaleron rate in the symmetric electroweak phase
• Standard Model thermodynamics across the electroweak crossover
• Electroweak Bubble Nucleation, Nonperturbatively
• What's new with the electroweak phase transition?
• From hard thermal loops to Langevin dynamics
• Classical Sphaleron Rate on Fine Lattices
• Baryon and lepton number violation rates across the electroweak crossover
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• The Electroweak Phase Transition in a Magnetic Field
• The Sphaleron Rate through the Electroweak Cross-over
• High temperature color conductivity at next-to-leading log order
• First-order electroweak phase transitions: a nonperturbative update
• A Hierarchy of Effective Field Theories of Hot Electroweak Matter
• O(a) errors in 3-D SU(N) Higgs theories
• Anomalous non-conservation of fermion/chiral number in Abelian gauge theories at finite temperature
• The Sphaleron Rate: Bodeker's Leading Log
• The Origin of the Sphaleron Dipole Moment
• Curing O(a) Errors in 3-D Lattice SU(2) x U(1) Higgs Theory
• Lattice Chern-Simons Number Without Ultraviolet Problems
• Improved determination of the classical sphaleron transition rate
• Return of the grand unified theory baryogenesis: Source of helical hypermagnetic fields for the baryon asymmetry of the universe
• Longitudinal subtleties in diffusive Langevin equations for non-Abelian plasmas
• The Sphaleron in a Magnetic Field and Electroweak Baryogenesis
• On the origin of matter in the Universe
• Baryon isocurvature constraints on the primordial hypermagnetic fields
• The renormalized gauge coupling and non-perturbative tests of dimensional reduction
• Chiral charge dynamics in Abelian gauge theories at finite temperature
• Phase structure of electroweak vacuum in a strong magnetic field: the lattice results
• The Electroweak Sphaleron in a strong magnetic field

Cited by in corpus (3)

• Bubble Trouble: a Review on Electroweak Baryogenesis
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• Baryogenesis in $SU(2{)}_L$ multiplet models