Abstract
We calculate the process $$ pp\to {W}^{+}{W}^{-}\to {e}^{+}{\nu}_e{\mu}^{-}{\overline{\nu}}_{\mu } $$ at NLO QCD, including also effective field theory (EFT) operators mediating the ggW + W − interaction, which first occur at dimension eight. We further combine the NLO and EFT matrix elements produced by GoSam with the Herwig7/Matchbox framework, which offers the possibility to study the impact of a parton shower. We assess the effects of the anomalous couplings by comparing them to top-mass effects as well as uncertainties related to variations of the renormalisation, factorisation and hard shower scales.
Highlights
The way the extrapolation from the fiducial cross section is done should be revisited [18]
We further combine the NLO and effective field theory (EFT) matrix elements produced by GoSam with the Herwig7/Matchbox framework, which offers the possibility to study the impact of a parton shower
Let us briefly review the history of higher-order calculations in the W +W −(+jets) channel: The process gg → W +W − has been calculated in continuously improving approximations in the literature: the calculation for on-shell W bosons has been performed in [20, 21]
Summary
The diagrams contributing to the process gg → e+νeμ−νμ (see figure 1) comprise of diagrams involving two W propagators (“doubly resonant”) as well as diagrams involving only one W propagator (“singly resonant”, see figure 1b) Note that the latter are important to maintain gauge invariance. 1 Λ4 ci Oi. Combining higher-order QCD corrections from LSM with the part containing the higherdimensional operators means that we are performing a simultaneous expansion in αs/2π and in ci/Λ4. Combining higher-order QCD corrections from LSM with the part containing the higherdimensional operators means that we are performing a simultaneous expansion in αs/2π and in ci/Λ4 This requires a careful assessment of the relative importance of the various terms in such an expansion and of the range of validity of the effective theory.
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