Di-Higgs production in effective field theories

We compare two different effective field theory frameworks: Standard Model Effective Field Theory and Higgs Effective Field Theory. We study their phenomenological implications in di- Higgs production processes, in particular the VBF channel, and check whether this channel in concrete setups can distinguish between those effective Field Theory descriptions. In particular, this will be done by matching to a real scalar singlet extension of the Standard Model. A phenomenological analysis in the parameter space follows : theoretical and experimental constraints are taken into account. Special care is given to the 'Loryon limit' . Analogous analysis is presented for a colored scalar extension of the Standard Model. Comparison of differential cross sections is performed.