We present a broad study of collider processes that embed $2 \to 2$ scattering amplitudes involving top quarks in the
Electroweak sector. We parametrise the modified interactions using the Standard Model Effective Field Theory framework and discuss
how the New Physics effects lead to unitarity violating behaviour at the amplitude level. For each scattering amplitude we compute
the helicity amplitudes in the high energy limit paying special attention to the effects of the higher dimensional operators.
We also discuss whether and to what extent the unitarity violating effects are retained in physical processes at colliders.