= Cubic and quartic Higgs couplings to electroweak gauge bosons
{title2=$HWW$, $HHWW$, $HZZ$, $HHZZ$}
The <gauge-covariant kinetic term> of the <Higgs doublet> gives $M_W^2(1+H/v)^2W^+_\mu W^{-\mu}+M_Z^2(1+H/v)^2Z_\mu Z^\mu/2$. Differentiation with respect to the external fields yields <Feynman rules> $2iM_V^2g_{\mu\nu}/v$ for one <Higgs boson> and two matching massive <electroweak gauge bosons>, and $2iM_V^2g_{\mu\nu}/v^2$ for two <Higgs bosons> and the same pair. Identical neutral fields supply combinatorial factors. The neutral radial <Higgs boson> has no corresponding elementary coupling to <photons> at tree level.
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