One loop verification of SMEFT Ward Identities

TL;DR

This paper verifies SMEFT Ward identities at one loop order using background field gauge, establishing a foundation for automated NLO calculations in SMEFT with geometric formalism.

Contribution

It provides the first one-loop verification of SMEFT Ward identities in background field gauge, enabling future automated NLO computations in SMEFT.

Findings

Confirmed Ward identities at one loop in SMEFT

Established groundwork for automated NLO SMEFT calculations

Utilized background field gauge and geoSMEFT formalism

Abstract

We verify Standard Model Effective Field Theory Ward identities to one loop order when background field gauge is used to quantize the theory. The results we present lay the foundation of next to leading order automatic generation of results in the SMEFT, in both the perturbative and non-perturbative expansion using the geoSMEFT formalism, and background field gauge.