Abstract
We scrutinise the ability of the primary QED final-state resummation tools, combined with electroweak virtual corrections, to reproduce the exact next-to-leading order electroweak calculation in the four-charged-lepton final state. We further examine the dependence of the findings on the lepton-photon dressing-cone size as well as the resonance identification strategy. Overall we find excellent agreement with the fixed-order result, but partial differences not directly connected with resummation-induced higher-order effects at the few-percent level are observed in some cases, which are relevant for precision measurements.
Highlights
The production of four charged leptons in proton–proton collisions offers a rich gamut of processes contributing to the same final state, bound through higher-order electroweak effects, in an experimentally clean environment
In this paper we presented a study of kinematic distributions in the four-charged-leptons final state including Born and one-loop EW corrections using the SHERPA and OPENLOOPS frameworks
In addition to the exact next-to-leading order (NLO) EW calculation, we incorparated EW corrections in an approximation, based on exact virtual NLO contributions supplemented with a soft-photon resummation using both PHOTOS as well as SHERPA’s soft-photon resummation in the Yennie–Frautschi–Suura scheme
Summary
The production of four charged leptons in proton–proton collisions offers a rich gamut of processes contributing to the same final state, bound through higher-order electroweak effects, in an experimentally clean environment. Precision measurements necessitate precise calculations to be able to extract as much information as possible To this end, the next-to-leading order (NLO) QCD corrections to on-shell Z Z production are known for almost three decades [9,10]. Gluon-initiated four lepton production, being a loop-induced process, formally contributes only at NNLO QCD and beyond, its contribution is phenomenologically relevant It was calculated early on [16,17,18,19], and even the NLO QCD corrections are known [20,21,22]. In terms of experimentally usable particle-level predictions, at the moment only the NLO QCD calculations are matched to parton showers in various schemes [23,24,25,26,27,28], benefiting from the respective event generators’ higher-order QED corrections which is especially important for observables sensitive to energy loss through photon radiation
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