Details

Autor(en) / Beteiligte

• Corbett, Tyler

Titel

The Feynman rules for the SMEFT in the background field gauge

Ist Teil von

• The journal of high energy physics, 2021-03, Vol.2021 (3), p.1-34, Article 1

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2021

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• A bstract We present a package for F eyn R ules which derives the Feynman rules for the Standard Model Effective Field Theory up to dimension-six using the background field method for gauge fixing. The package includes operators which shift the kinetic and mass terms of the Lagrangian up to dimension-eight and including dimension-six squared effects consistently. To the best of the author’s knowledge this is the first publicly available package to include dimension-six squared effects consistently. The package is validated in a partner publication by analyzing the Ward Identities at dimension-six and one-loop order. We also extend the partner work in this article by including the dimension-six squared effects further demonstrating the consistency of their implementation. In doing so we find that failure to consistently include field shifts to dimension-six squared causes a breakdown in the Ward identities implying concerns about many calculations in the literature which do not properly incorporate these effects. The F eyn R ules files, as well as Mathematica notebooks performing the relevant calculations, can be downloaded from the F eyn R ules website and are included as supplementary material to this publication.