Dark matter at the LHC: EFTs and gauge invariance
Nicole F. Bell, Yi Cai, James B. Dent, Rebecca K. Leane, and Thomas J., Weiler

TL;DR
This paper examines the use of effective field theories for dark matter at the LHC, highlighting issues with gauge invariance and providing guidance on their proper interpretation.
Contribution
It analyzes the conditions under which non-gauge-invariant EFT operators can appear and discusses their implications for dark matter searches at the LHC.
Findings
Identifies when non-gauge-invariant operators are relevant
Highlights potential misinterpretations in EFT applications
Provides guidelines for consistent EFT use in dark matter studies
Abstract
Effective field theory (EFT) formulations of dark matter interactions have proven to be a convenient and popular way to quantify LHC bounds on dark matter. However, some of the non-renormalizable EFT operators considered do not respect the gauge symmetries of the Standard Model. We carefully discuss under what circumstances such operators can arise, and outline potential issues in their interpretation and application.
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