Abstract
The production of a neutral and a charged vector boson with subsequent decays into three charged leptons and a neutrino is a very important process for precision tests of the Standard Model of elementary particles and in searches for anomalous triple-gauge-boson couplings. In this article, the first computation of next-to-leading-order electroweak corrections to the production of the four-lepton final states μ+μ−e+νe, {mu}^{+}{mu}^{-}{mathrm{e}}^{-}{overline{nu}}_{mathrm{e}} , μ+μ−μ+νμ, and {mu}^{+}{mu}^{-}{mu}^{-}{overline{nu}}_{mu } at the Large Hadron Collider is presented. We use the complete matrix elements at leading and next-to-leading order, including all off-shell effects of intermediate massive vector bosons and virtual photons. The relative electroweak corrections to the fiducial cross sections from quark-induced partonic processes vary between −3% and −6%, depending significantly on the event selection. At the level of differential distributions, we observe large negative corrections of up to −30% in the high-energy tails of distributions originating from electroweak Sudakov logarithms. Photon-induced contributions at next-to-leading order raise the leading-order fiducial cross section by +2%. Interference effects in final states with equal-flavour leptons are at the permille level for the fiducial cross section, but can lead to sizeable effects in off-shell sensitive phase-space regions.
Highlights
JHEP10(2017)043 counting O(α) ≈ O(αs2) suggests that they are of a similar order of magnitude as the NNLO QCD corrections
We have investigated each process class in two different scenarios: first with a minimal set of selection cuts, in the following referred to as “inclusive setup”, and second for a setup inspired by the ATLAS measurements [2, 3] that is tailored to the investigation of triple-gauge-boson couplings (TGC), referred to as “TGC setup”
The results for the fiducial cross sections at a centre-of-mass energy of 13 TeV are presented in table 1 for all considered final states both in the inclusive and in the TGC setup
Summary
JHEP10(2017) counting O(α) ≈ O(αs2) suggests that they are of a similar order of magnitude as the NNLO QCD corrections. EW corrections can be enhanced by logarithms of EW origin [16,17,18,19,20,21] and may distort differential distributions at large transverse momenta by several tens of percent. A full NLO EW computation for on-shell W and Z bosons has been presented later on [23, 24] including photon-induced corrections. The NLO EW corrections for the complete fourlepton-production processes, i.e. including leptonic vector-boson decays and irreducible background diagrams, exist so far only for WW and ZZ production [25,26,27,28], while corresponding results for WZ production are still missing in the literature. Besides diagrams with a resonant W boson and a resonant Z boson or a photon these involve diagrams with only one possibly resonant vector boson
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