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Electroweak sphaleron with dimension-six operators

2017/08/31 by Xucheng Gan, Andrew J. Long, Lian-Tao Wang
Computer Science · Mathematics · Physics and Astronomy · #Benford’s Law and Fraud Detection #Computational Physics and Python Applications #Dimension (graph theory) #Electroweak interaction #Mathematics #Particle physics #Physics #Pure mathematics #Quantum Mechanics and Applications #Sphaleron #astro-ph.CO #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.96.115018

published as Phys. Rev. D 96, 115018 (2017) · v2: 16 pages plus appendices, 2 figures, 2 tables; matches PRD version; v3: fixed label in Fig. 1

openalex created_date 2017/08/17 · openalex publication_date 2017/12/21 · arxiv created 2018/05/07 · arxiv updated 2018/05/08 · openalex updated_date 2026/08/05

Abstract

New physics at the TeV scale can affect the dynamics of the electroweak phase transition in many ways. In this paper, we evaluate its impact on the rate of baryon-number violation via sphaleron transitions. We parametrize the effect of new physics with dimension-six 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-six operators, their presence can either increase or decrease the sphaleron energy at the level of a few percent, parametrically of order mW2/\mathrm\ensuremathΛ2 where \mathrm\ensuremathΛ is the scale suppressing the dimension-six operator. The baryon-number washout condition, typically written as vc/Tc>1, is directly proportional to the sphaleron energy, and we discuss how the presence of dimension-six operators can affect electroweak baryogenesis.

Citations