Because of the Higgs mechanism, one must replace the Higgs field $\phi$ with $\phi_0 + \phi_1$ where $\phi_0$ is the vacuum expectation value. As far as I understand, the $\phi_0$ gives the mass term to bosons after developping the product $D_{\mu}\phi D^\mu \phi$. But I don't understand why these mass terms should disappear above the electroweak scale where it is said that the gauge bosons are massless.
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