Speaker
Mohammad Alminawi
Description
Geometric formulations of scalar field theories have proven valuable in studying the differences between HEFT and SMEFT at the two derivative level by representing fields as coordinates on a 4D manifold and expressing field redefinitions as coordinate transformations.
We introduce an approach to extend the geometric formulation to higher numbers of derivatives as well as incorporating the potential into a geometric definition by introducing jet bundles where derivatives of fields are treated as independent coordinates on higher-dimensional manifolds.
The talk will introduce the formalism of bundles showing how a Lagrangian can be expressed geometrically as well as how amplitudes can be constructed from geometric quantities.
