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Particle colliders such as the LHC enable us to scrutinise interactions among elementary particles at unprecedented energy and precision, deepening our understanding of fundamental interactions. Vector Boson Fusion (VBF) is one of the golden channels to investigate the properties of the Higgs boson, arguably the most peculiar fundamental object of the Standard Model of particle physics.
In order to interpret LHC data, it is paramount to build accurate theoretical tools, known as Shower Monte Carlo event generators. After reviewing the state of the art, in this talk I will describe current efforts to advance the formal accuracy of such generators for Higgs production in VBF by treating VBF as a two-fold Deep Inelastic Scattering process.