Scattering Amplitudes and Soft Theorems in Multi-Flavor Galileon Theories

TL;DR

This paper extends the study of Galileon theories to multiple flavors using scattering amplitude methods, revealing new properties and generalizations of soft theorems, dualities, and bootstrap techniques.

Contribution

It introduces multi-flavor Galileon analysis with novel soft theorems, dualities, and bootstrap methods, expanding beyond the single-flavor case.

Findings

New soft theorems for multi-flavor Galileons

Demonstration of dualities in multi-flavor theories

Identification of unique properties in U(N) and U(2)/U(1) models

Abstract

In this paper, we initiate the study of multi-flavor Galileon theories using the methods of scattering amplitudes. We explore this topic from different perspectives and extend the techniques employed so far mainly in the single-flavor case. This includes soft theorems, generalized soft theorems with non-trivial right-hand side, Galileon dualities, soft bootstrap and bonus relations. We demonstrate new properties on two examples, the multi-flavor U(N) Galileon and the three-flavor U(2)/U(1) Galileon.