  In these proceedings, we summarise our recent calculations of next-to-leading
order electroweak corrections to Higgs boson pair and Higgs boson plus jet
production. The calculations are divided into different regions. In the
high-energy region, we analytically calculate the Higgs boson contribution to
the leading two-loop Yukawa corrections for $gg\to HH$. These corrections are
generated by a single virtual Higgs boson exchange within the top quark loop.
Our high-energy expansion yields precise predictions for the region where the
Higgs boson transverse momenta $p_T > 120 $ GeV. In the low-energy region, we
compute the complete two-loop electroweak corrections to $gg\to HH$ and $gg \to
gH$. We obtain analytic results through the large top quark mass expansion,
covering all sectors of the Standard Model.
