Speaker
Description
The analogy between field redefinitions in EFTs and coordinate transformations suggests that EFT amplitudes can be interpreted as geometric invariants, constructed from fundamental building blocks. We identify these building blocks as geometric quantities derived from the covariant derivatives of the action, which remain covariant in the on-shell limit under derivative-dependent field redefinitions. By restricting to two-derivative theories and applying a field-space-metric-compatible connection, we reproduce the amplitudes being expressed in terms of covariant derivatives of the Riemann curvature tensor and the scalar potential formulated from these building blocks. This geometric perspective provides new insights into the structure of EFT amplitudes and the inherent redundancy associated with general field redefinitions.