Global fits for new physics at the LHC and beyond

We study physics beyond the Standard Model with state-of-the-art global fits of both UV-complete models like supersymmetry and the more general effective field theories (EFTs). The gamma-ray excess from the galactic center measured by Fermi-LAT can be interpreted as a dark matter signature in the minimal supersymmetric model. Using the SFitter framework we identify different annihilation channels with a dark matter mass up to 300 GeV yielding the measured spectrum. Strong constraints from direct detection experiments and relic density rule out large regions of the parameter space, favoring a pseudoscalar mediator. In the next-to-minimal supersymmetric model the additional singlet allows efficient annihilation of dark matter particles below 60 GeV via a light pseudoscalar. We connect the resulting solutions to the GC excess with a large invisible Higgs branching ratio in reach of the LHC. Finally we use the EFT framework to constrain higher-dimensional operators from the Higgs and the electroweak gauge sector. Our bounds on triple gauge-boson couplings from LHC di-boson channels are several times stronger than those obtained from LEP data. The combination of Higgs measurements and triple gauge vertices leads to a significant improvement in the entire set of operators.