Topics in electroweak baryogenesis: The sphaleron and t-violation

Assuming that beyond the standard model physics can be parametrized in terms of high dimensional operators, we examine their effects on the energy of the sphaleron and the classical solution of the gauge and Higgs fields. In the absence of fermions, all of the six dimension 6 operators which are SU(2) symmetric have a small effect when calculated perturbatively. However, calculated non-perturbatively, one of the operators alters the boundary conditions of the equations of motion of the Higgs and gauge fields involved, and another operator gives rise to an abrupt change in the sphaleron energy at a small but definite Higgs quartic coupling. The magnitude of the T-violating muon polarization induced by electromagnetic final state interaction in the radiative Kaon decay K{sup +} {yields} {mu}{sup +}{nu}{mu}{gamma} is order of 10{sup {minus}3}.