Amplitude bases in generic EFTs

We present for the first time an efficient algorithm to find a basis of kinematically independent structures built (massless and massive) spinor helicity variables in four dimensions. This method provides classification contact terms scattering amplitudes with generic masses, spins multiplicity, any effective field theory (EFT). These are one-to-one correspondence complete set irrelevant operators EFT. As basic applications our method, we classify $D^{2n} F^4$ SU$(N)$ Yang-Mills $n\leq 8$, dimension-six involving five $W^\pm$, $Z$ $\gamma$ vector bosons, spin-tidal interactions spin-1 massive particles gravitational theories.