Redefining Higgs interactions at the TeV scale

We present a field redefinition that simplifies the Higgs Effective Field Theory Lagrangian for the Electroweak Symmetry Breaking Sector. This simplification produces the same on-shell scattering amplitudes while greatly reducing the number of contributing Feynman diagrams for $\omega \omega \to n\times h$ processes (which approximate the $W_L{W}_L\to n\times h$ amplitudes at the TeV scale by means of the Equivalence Theorem).