1. Electroweak sphaleron in a magnetic field
- Author
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Jaakko Annala, Kari Rummukainen, Department of Physics, Helsinki Institute of Physics, Particle Physics and Astrophysics, and Mind and Matter
- Subjects
Cosmology and Nongalactic Astrophysics (astro-ph.CO) ,High Energy Physics - Lattice (hep-lat) ,Baryon-number nonconservation ,FOS: Physical sciences ,Phase-transition ,Condensate solution ,114 Physical sciences ,Point ,3d physics ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Lattice ,O(a) errors ,Astrophysics - Cosmology and Nongalactic Astrophysics - 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 $B_Y \approx 2 T^2$ 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., 15 pages, 16 figures, corrected typos, published version
- Published
- 2023