NLO QCD and electroweak corrections to $WWW$ production at the LHC

Abstract

In this paper we calculate the next-to-leading order (NLO) QCD $[\mathcal{O}({\alpha }_s{\alpha }^3)]$ and electroweak (EW) $[\mathcal{O}({\alpha }^4)]$ corrections to the $WWW$ production at the LHC and deal with the subsequent leptonic decays from $W$ bosons by adopting an improved narrow-width approximation which takes into account the spin correlation and finite-width effects. The NLO QCD correction from the real jet radiation is discussed, which significantly enhances the production rate, particularly in the high-energy region. We also provide the integrated cross section for the $WWW$ production and various kinematic distributions of final products at the QCD+EW NLO. We find that the convergence of the perturbative QCD description can be improved by applying a hard jet veto in the event selection, but this jet veto would introduce a new source of theoretical uncertainty. The pure NLO QCD relative correction to the integrated cross section for the $W^{+}{W}^{-}{W}^{+}$ production at the $14\mathrm{TeV}$ LHC is on the order of $30\%$ in the jet-veto event selection scheme with $p_{T,\mathrm{jet}}^{\mathrm{cut}}=50\mathrm{GeV}$, while the genuine NLO EW relative correction can reach about $15\%$ in the inclusive event selection scheme. Our numerical results show that both the NLO QCD and NLO EW corrections should be taken into consideration in precision predictions.

25 pages, 6 figures

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