NLO Effects in EFT Fits to $W^{+}{W}^{-}$ Production at the LHC

Abstract

We study the impact of anomalous gauge boson and fermion couplings on the production of $W^{+}{W}^{-}$ pairs at potential future LHC upgrades and estimate the sensitivity at $\sqrt{S}=14$ TeV with $3a{b}^{-1}$ and $\sqrt{S}=27$ TeV with $15a{b}^{-1}$. A general technique for including NLO QCD effects in effective field theory (EFT) fits to kinematic distributions is presented, and numerical results are given for $\sqrt{S}=13$ TeV $W^{+}{W}^{-}$ production. Our method allows fits to anomalous couplings at NLO accuracy in any EFT basis and has been implemented in a publicly available version of the POWHEG-BOX. Analytic expressions for the $K$-factors relevant for $13$ TeV total cross sections are given for the HISZ and Warsaw EFT bases and differential $K$-factors can be obtained using the supplemental material. Our study demonstrates the necessity of including anomalous $Z$- fermion couplings in the extraction of limits on anomalous 3-gauge-boson couplings.

30 pages, 12 figures. v2: Typos fixed, discussion updated, and primitive cross sections included in submission. Results unchanged. Matches published version

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