Speaker
Description
Effective Field Theories (EFTs) are a framework to probe physics beyond the Standard Model (BSM) in a model independent way. The Standard Model Effective Theory (SMEFT) provides an expansion of higher-dimensional operators that encode the effects of heavy new physics; however, in the operator basis there exists a redundancy in the space of field redefinitions which leaves on-shell amplitudes invariant. A geometric formulation of the SMEFT reframes the language of an arbitrary operator-basis approach to clearly represent fields as coordinates and field redefinitions as coordinate transformations. This geometric viewpoint motivates the adoption of Riemann Normal Coordinates (RNC) to remove spurious kinematic pole structures. Implementing the global symmetry in the RNC basis enables an all-order expansion of the field space metric and associated operators, providing a covariant description of N-point off-shell scattering amplitudes in the high energy limit around the vacuum expectation value (vev). Such a geometric perspective can aid in the systematic analysis of collider data for future BSM searches by highlighting observable signatures of new physics.