= Scalar vertices of an adjoint triplet Higgs model
{title2=$hhh,\ hhhh,\ hW^+W^-,\ hhW^+W^-$}
For a real triplet with potential $\lambda(\Phi^2-v^2)^2/8$, unitary gauge gives $\Phi=(0,0,v+h)$ and scalar interaction terms $-\lambda vh^3/2-\lambda h^4/8+2e^2vhW^+W^-+e^2h^2W^+W^-$. Functional differentiation, including identical-field multiplicities, gives vertices $-3i\lambda v$, $-3i\lambda$, $2ie^2v g_{\mu\nu}$ and $2ie^2g_{\mu\nu}$ respectively. The physical scalar is neutral under the residual U(1), so there are no $hAA$ or $hhAA$ vertices.
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