The Higgs impact factor at next-to-leading order

We compute at next-to-leading order level the impact factor for the production of a forward Higgs boson from a colliding proton. Combined with other forward impact factors, it can be used to describe, at next-to-leading logarithmic accuracy, processes in which two objects featuring large separation in rapidity are detected at the Large Hadron Collider (LHC). As well, combined with a proper definition of the \textit{unintegrated gluon distribution} (UGD), it can be used to compute small-$x$ corrections to the forward Higgs production.