Electroweak sphaleron with dimension-six operators

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/Λ² where Λ 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.