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Recently, a new boson h has been discovered at the LHC which, so far, iscompatible with the properties of the SM Higgs. However, the SM is not the mostgeneral low-energy dynamics for the minimal electroweak symmetry breakingsector with three Goldstone bosons and one light scalar. By using non-lineareffective Lagrangian for these four particles we study different processes atone-loop precision, identifying the counterterms needed to cancel thedivergences. Then we apply the IAM unitarization method on the partial waves,both to make more realistic predictions which could be tested at the LHC and todiscuss the limitations of the one-loop computations. The studied processes arethe elastic scattering amplitude for both the longitudinal components of thegauge bosons V = W, Z and the hh -> hh, as well as the inelastic VV -> hh.

Strongly interacting $W_L W_L, Z_L Z_L$ and $hh$ from unitarized one-loop computations