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The precise determination of the properties of the Higgs boson—the first and only elementary scalar particle we have observed to date—is among the highest priorities of the LHC programme and possible future colliders. State-of-the-art precision calculations for Higgs production in the gluon-fusion process are presented as well as their impact on fiducial distributions at the LHC. The issues that arise from the definition of the fiducial volume and how they impact the perturbative behaviour of the predictions are discussed together with results applying approaches to circumvent them.