One-loop renormalization in Galileon effective field theory

TL;DR

This paper analyzes the renormalization properties of scalar Galileons at one-loop level, providing explicit calculations of divergences and discussing the structure of counterterms within an effective field theory framework.

Contribution

It offers the first detailed one-loop renormalization analysis of Galileon theories, including explicit divergence calculations and insights into counterterm hierarchy.

Findings

Explicit one-loop divergences for 2-, 3-, 4-, and 5-point functions

Discussion of counterterm structure and hierarchy

Potential for generalized resummation schemes

Abstract

We investigate the renormalization structure of scalar Galileons in flat spacetime. We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions. We discuss the structure of the counterterms and their hierarchy within an effective field theory expansion. We comment on different resummation schemes, including a geometric resummation for which our results could be generalized to arbitrary n-point functions.