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Dilepton production in the SMEFT at $\mathcal O(1/\Lambda^4)$
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abstract
We study the inclusion of $\mathcal O(1/\Lambda^4)$ effects in the Standard Model Effective Field Theory in fits to the current Drell-Yan data at the LHC. Our analysis includes the full set of dimension-6 and dimension-8 operators contributing to the dilepton process, and is performed to next-to-leading-order in the QCD coupling constant at both $\mathcal O(1/\Lambda^2)$ and $\mathcal O(1/\Lambda^4)$. We find that the inclusion of dimension-6 squared terms and certain dimension-8 operators has significant effects on fits to the current data. Neglecting them leads to bounds on dimension-6 operators off by large factors. We find that dimension-8 four-fermion operators can already be probed to the several-TeV level by LHC results, and that their inclusion significantly changes the limits found for dimension-6 operators. We discuss which dimension-8 operators should be included in fits to the LHC data. Only a manageable subset of two-derivative dimension-8 four-fermion operators need to be included at this stage given current LHC uncertainties.
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Cited by 1 Pith paper
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EFT Validity and Truncation Uncertainty from few Nuisance Parameters
SMEFT truncation uncertainty at O(Λ^{-4}) can be modeled by K≪N representative Wilson coefficients plus a decorrelated α=√2 PCA prior that covers full next-order effects in DY, Zh, and VBF.
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