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We study the effect of QCD corrections to the $gg\to H\to W^+ W^-$signal-background interference at the LHC for a heavy Higgs boson. We constructa soft-collinear approximation to the NLO and NNLO corrections for thebackground process, which is exactly known only at LO. We estimate its accuracyby constructing and comparing the same approximation to the exact result forthe signal process, which is known up to NNLO, and we conclude that we candescribe the signal-background interference to better than ten percentaccuracy. We show that our result implies that, in practice, a fairly goodapproximation to higher-order QCD corrections to the interference may also beobtained by rescaling the known LO result by a K-factor computed using thesignal process.

Signal-background interference effects for $gg \to H \to W^+ W^-$ beyond leading order