Sphalerons in the Standard Model with a real Higgs singlet

Abstract

Sphaleron energies within the standard model with a real Higgs singlet added on are calculated. The coupled non-linear equations of motion are numerically solved and the sphaleron energy evaluated for a set of parameters in the Higgs potential. I find a small difference in the sphaleron energy compared to the standard model. A slightly stronger constraint on the strength of the first order phase transition thus results for this model.

Comments: 10 pages of LaTex. The figure is now in uuencoded postscript form. (UM-P-94/102, RCHEP-94/27)