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Ward Identities for the Standard Model Effective Field Theory

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arxiv 1909.08470 v1 pith:DZ4LS6C6 submitted 2019-09-18 hep-ph

classification hep-ph
keywords fieldeffectivemodelstandardtheoryidentitieswardbackground
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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 $\rm SU(2)_L \times U(1)_Y$ generators, underlies the derivation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Geometry of soft scalars at one loop

    hep-th 2025-04 conditional novelty 8.0 of 10

    The geometric soft theorem for scalar effective field theories is unchanged at one loop in derivative-coupled theories, and receives a universal leading correction when potential interactions are present.

  2. Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A covariant one-loop divergence formula for mixed boson-fermion graphs is derived and applied to dimension-eight two-fermion RGEs in the SMEFT.

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