Functional Prescription for EFT Matching

TL;DR

This paper introduces a simplified functional matching method for effective field theories, enabling calculations directly within the UV theory without predefining an operator basis, applicable to various relativistic theories including the Standard Model extension.

Contribution

It develops a streamlined, general prescription for one-loop functional matching that simplifies EFT derivations from complex UV theories.

Findings

The method applies to scalar, fermion, and vector fields with derivative couplings.

Successfully matches singlet scalar extended Standard Model to SMEFT.

No need for prior EFT operator basis determination.

Abstract

We simplify the one-loop functional matching formalism to develop a streamlined prescription. The functional approach is conceptually appealing: all calculations are performed within the UV theory at the matching scale, and no prior determination of an Effective Field Theory (EFT) operator basis is required. Our prescription accommodates any relativistic UV theory that contains generic interactions (including derivative couplings) among scalar, fermion, and vector fields. As an example application, we match the singlet scalar extended Standard Model (SM) onto SMEFT.