Higgs sector: What we would like to know

Some key properties of the Higgs boson, such as its mass and couplings to electroweak bosons and third-generation fermions have by now been well established with multiple measurements by the ATLAS and CMS Collaborations. This note will instead review the status of the current "unknowns": the Higgs boson self-coupling, and Higgs boson rare and exotic decays, including those to second-generation fermions or to new light scalars.\\ \\ Published in PoS LHCP2020 (2021) 161, doi: 10.22323/1.382.0161