  The main objective of this work is to isolate Effective Field Theory
scattering amplitudes in the space of non-perturbative two-to-two amplitudes,
using the S-matrix Bootstrap. We do so by introducing the notion of Effective
Field Theory cutoff in the S-matrix Bootstrap approach. We introduce a number
of novel numerical techniques and improvements both for the primal and the
linearized dual approach. We perform a detailed comparison of the full
unitarity bounds with those obtained using positivity and linearized unitarity.
Moreover, we discuss the notion of Spin-Zero and UV dominance along the
boundary of the allowed amplitude space by introducing suitable observables.
Finally, we show that this construction also leads to novel bounds on operators
of dimension less than or equal to six.
