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Higgs decays to gauge boson pairs are a crucial ingredient in the study ofHiggs properties, with the decay $H\rightarrow\gamma\gamma$ being particularlysensitive to new physics effects. Assuming all potential new physics occurs atenergies much above the weak scale, deviations from Standard Model predictionscan be parameterized in terms of the coefficients of an effective field theory(SMEFT). When experimental limits on the SMEFT coefficients reach an accuracyof a few percent, predictions must be done beyond the lowest order in the SMEFTin order to match theory and experimental accuracy. This paper completes aprogram of computing the one-loop electroweak SMEFT corrections to$H\rightarrow VV^\prime$, $V=W^\pm,Z,\gamma$. The calculation of the realcontribution to $H\rightarrow W^+W^-\gamma$ is performed by mapping two-loopamplitudes to the $3-$ body phase space.

Electroweak Corrections to Higgs to $\gamma\gamma$ and $W^+W^-$ in the SMEFT