Phd defence. University of Turin Constraints on the Higgs Boson width from off-shell production and decay to Z-boson pairs Particle Physics in a nutshell Study of VBF/VBS in the LHC at 13 TeV and available tools Searches for new physics at LHC within the Higgs sector. Step 2: Defining the tools. Effective Field Theories in the Quest for BSM Physics NLO Higgs Effective Field Theory and κ Framework VBF and Vector Boson Scattering at 13 TeV, the EFT approach