PT Journal AU Delgado, RL Gomez-Ambrosio, R Martinez-Martin, J Salas-Bernardez, A Sanz-Cillero, JJ TI Production of two, three, and four Higgs bosons: where SMEFT and HEFT depart SO Journal of High Energy Physics JI J. High Energy Phys. PY 2024 BP 037 EP 45pp VL 03 IS 3 DI 10.1007/JHEP03(2024)037 LA English DE Anomalous Higgs Couplings; Higgs Properties; Strongly Interacting Higgs; Electroweak Precision Physics AB In this article we study the phenomenological implications of multiple Higgs boson production from longitudinal vector boson scattering in the context of effective field theories. We find compact representations for effective tree-level amplitudes with up to four final state Higgs bosons. Total cross sections are then computed for scenarios relevant at the LHC in which we find the general Higgs Effective Theory (HEFT) prediction avoids the heavy suppression observed in Standard Model Effective Field Theory (SMEFT). ER