The Spurion Massive EFT (SMEFT)

TL;DR

This paper introduces a spurion analysis within the SMEFT framework to systematically express low-energy amplitudes and couplings in terms of Higgs VEVs, revealing structure at dimension-eight order.

Contribution

It develops a systematic spurion-based method to analyze SMEFT amplitudes and couplings, extending to higher-point interactions and nonzero Yukawa couplings.

Findings

Derived spurion expansions for W and Z masses and mixing.

Expressed SMEFT contact terms as sums of spurion structures.

Identified that the textures of couplings are saturated by dimension-eight SMEFT.

Abstract

We use the amplitude formulation of the SMEFT to introduce a spurion analysis of the SMEFT low-energy amplitudes in terms of the Higgs VEV. Each SMEFT contact-term is given as a sum of a few spurion structures, whose number depends on the electroweak charges of the external legs. The coefficients of these structures involve singlet combinations of Higgses from higher-order SMEFT contributions. We use this to derive the spurion expansions of the W- and Z-boson masses and mixing, and their three-point couplings to fermions. The textures of these couplings are saturated by the dimension-eight SMEFT. Our analysis can be generalized to higher-point amplitudes and nonzero Yukawa couplings.