Effective Field Theory of Gravity to All Orders

TL;DR

This paper develops a comprehensive effective field theory framework for gravity coupled with the Standard Model, systematically deriving operators of arbitrary dimension and providing explicit bases up to certain dimensions.

Contribution

It introduces the GRSMEFT, a systematic method to derive non-redundant operators of any dimension for gravity and matter fields, extending to all orders.

Findings

Explicit operator bases up to dimension ten for pure gravity.

Operator basis up to dimension eight for scalar fields with shift symmetry.

Framework applicable to all orders in the effective field theory expansion.

Abstract

We construct the general effective field theory of gravity coupled to the Standard Model of particle physics, which we name GRSMEFT. Our method allows the systematic derivation of a non-redundant set of operators of arbitrary dimension with generic field content and gravity. We explicitly determine the pure gravity EFT up to dimension ten, the EFT of a shift-symmetric scalar coupled to gravity up to dimension eight, and the operator basis for the GRSMEFT up to dimension eight. Extensions to all orders are straightforward.