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Abstract

After the discovery of a Higgs boson, one of the pivotal tasks of the Large Hadron Collider (LHC) is the thorough investigation of the Higgs potential. Its local and global structure is reflected in the couplings of the Higgs boson to other Standard Model particles and in its self-coupling, respectively. Therefore, we can improve our understanding of the Higgs potential by increasing the precision of individual Higgs-coupling measurements and by combining data from different sectors and experiments to obtain a global view.

First, we aim at increasing the sensitivity of an individual search channel, namely invisible Higgs decays in weak boson fusion, by including subjet-level information on the tagging jets.

Second, we perform global fits of the Higgs-gauge sector using Standard Model effective field theory, a comprehensive and phenomenologically powerful framework to describe and interpret deviations from the Standard Model. We include LHC Run~I+II Higgs and di-boson data in combination with electroweak precision observables and focus on the interplay of fermionic and bosonic dimension-six operators.

Finally, we estimate the reach of a potential 27~TeV LHC-upgrade for Higgs couplings, including di-Higgs production to set limits on the Higgs self-coupling and thereby probe the global structure of the Higgs potential.