Abstract
We perform a check of stability of the sphaleron against spherical as well as non-spherical fluctuations, considering the Higgs mass as a parameter which is varied over a wide range. We obtain the equations for the fluctuations in arbitrary K channels, working in the temporal gauge. Using the Jacobi criterion, the numerical analysis shows that there are no other instabilities besides the well known K=0 channel related to the existence of deformed sphalerons.
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