Hadronic Contributions to $(g-2)_\mu $ and $\alpha _{\rm QED}(M_Z^2)$

This is a brief review of the theoretical status of Higgs production at the LHC in the Standard Model, with an emphasis on the recent developments and computations.In particular, I focus on both inclusive and differential cross sections for the dominant production mode in the Standard Model, where the theoretical uncertainties induced by the different interplays between top-and bottom-quark effects in the gluon-fusion scattering amplitude are discussed.