The electroweak symmetry-breaking sector is one of the most promising and uncharted parts of the Standard Model; but it seems likely that new electroweak physics may be out of reach of the present accelerator effort and the hope is to observe small deviations from the SM. Given that, Effective Field Theory becomes the logic method to use, and Standard Model EFT (SMEFT) has become the standard. However, the most general theory with the known particle content is Higgs EFT (HEFT), and whether SMEFT suffices should be investigated in future experimental efforts. I will expose the SMEFT-induced correlations on the coefficients of HEFT (and how to obtain them) that, if found to generate tension with future data, would lead to the experimental falsification of the SMEFT framework.
(based on https://arxiv.org/abs/2204.01763)