  We report consistent results for $\Gamma(h \rightarrow \gamma \gamma)$,
$\sigma(\mathcal{G} \,\mathcal{G}\rightarrow h)$ and $\Gamma(h \rightarrow
\mathcal{G} \,\mathcal{G})$ in the Standard Model Effective Field Theory
(SMEFT) perturbing the SM by corrections $\mathcal{O}(\bar{v}_T^2/16 \pi^2
\Lambda^2)$ in the Background Field Method (BFM) approach to gauge fixing, and
to $\mathcal{O}(\bar{v}_T^4/\Lambda^4)$ using the geometric formulation of the
SMEFT. We combine and modify recent results in the literature into a complete
set of consistent results, uniforming conventions, and simultaneously complete
the one loop results for these processes in the BFM. We emphasise calculational
scheme dependence present across these processes, and how the operator and loop
expansions are not independent beyond leading order. We illustrate several
cross checks of consistency in the results.
