Triplet Higgs boson collider phenomenology after the LHC

ATLAS and CMS have discovered a standard model (SM) Higgs-like particle. One of the main discovery channels is the Higgs decay to two photons, which, at the moment, seems to be considerably enhanced over the standard model expectation. Models with additional charged matter coupling to the Higgs sector can enhance or decrease the $h$\rightarrow${}$\gamma${}$\gamma${}$ branching ratio. We take this as motivation to confront the so-called Georgi-Machacek model of Higgs triplets with the results of recent searches for a SM Higgs boson performed at the LHC. We also investigate the model in regions of the allowed parameter space relevant for a SM-like phenomenology. The Georgi-Machacek model avoids tree-level issues of the $T$ parameter, while offering a vastly modified Higgs phenomenology compared to the standard model. This comes at the price of introducing another fine-tuning problem related to electroweak precision measurements. We investigate the collider phenomenology of the Georgi-Machacek model in the light of existing collider constraints beyond any effective field theory approximation and contextualize our findings with electroweak precision constraints.