Ward Identities for the Standard Model Effective Field Theory

Abstract

We derive Ward identities for the Standard Model Effective Field Theory using the background field method. The resulting symmetry constraints on the Standard Model Effective Field Theory are basis independent, and constrain the perturbative and power-counting expansions. A geometric description of the field connections, and real representations for the $\mathrm{SU}(2{)}_{\mathrm{L}}\times \mathrm{U}(1{)}_{\mathrm{Y}}$ generators, underlies the derivation.

arXiv comment6 pages

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Cited by in corpus (13)

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• Geometry in Scattering Amplitudes
• Consistent higher order $\sigma (\mathcal{G}\mathcal{G}\to h)$, $\Gamma (h\to \mathcal{G}\mathcal{G})$ and $\Gamma (h\to \gamma \gamma )$ in geoSMEFT
• A methodology for theory uncertainties in the SMEFT
• The Feynman rules for the SMEFT in the background field gauge
• Jet Bundle Geometry of Scalar Field Theories
• Higgs decays to two leptons and a photon beyond leading order in the SMEFT
• The Geometric $\nu$SMEFT: Operators and Connections
• Dirac Masses and Mixings in the (geo)SM(EFT) and Beyond
• The one-loop tadpole in the geoSMEFT