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.
@article{arxiv.2010.08451,
title = {One loop verification of SMEFT Ward Identities},
author = {Tyler Corbett and Michael Trott},
journal= {arXiv preprint arXiv:2010.08451},
year = {2021}
}