Scalar-Vector Effective Field Theories from Soft Limits

TL;DR

This paper explores the soft-bootstrap method for theories involving the Special Galileon coupled to a massless vector, providing both a modern approach and a traditional Lagrangian perspective with geometric insights.

Contribution

It introduces the application of the soft-bootstrap method to scalar-vector effective field theories and connects it with a geometric Lagrangian formulation.

Findings

Successful implementation of the soft-bootstrap method for the coupled theories

Derivation of the Lagrangian with geometric interpretation

Enhanced understanding of scalar-vector interactions in EFTs

Abstract

We give an overview of the implementation of the soft-bootstrap method applied to the landscape of theories where the Special Galileon couples to a massless vector particle. We also describe the corresponding traditional Lagrangian approach for this model, which takes into account the formal geometrical interpretation of the Special Galileon as fluctuations of a $D$-dimensional brane embedded in a $2D$-dimensional flat space.