Non-factorizable photonic corrections to resonant production and decay of many unstable particles

Abstract

Electroweak radiative corrections to the production of high-multiplicity final states with several intermediate resonances in most cases can be sufficiently well described by the leading contribution of an expansion about the resonance poles. In this approach, also known as pole approximation, corrections are classified into separately gauge-invariant factorizable and non-factorizable corrections, where the former can be attributed to the production and decay of the unstable particles on their mass shell. The remaining non-factorizable corrections are induced by the exchange of soft photons between different production and decay subprocesses. We give explicit analytical results for the non-factorizable photonic virtual corrections to the production of an arbitrary number of unstable particles at the one-loop level and, thus, deliver an essential building block in the calculation of next-to-leading-order electroweak corrections in pole approximation. The remaining virtual factorizable corrections can be obtained with modern automated one-loop matrix-element generators, while the evaluation of the corresponding real photonic corrections can be evaluated with full matrix elements by multi-purpose Monte Carlo generators. Our results can be easily modified to non-factorizable QCD corrections, which are induced by soft-gluon exchange.

33 pages, pdflatex, 19 pdf figures

References in corpus (8)

• Event generation with SHERPA 1.1
• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Scalar one-loop 4-point integrals
• Polarizing the Dipoles
• Automation of the Dipole Subtraction Method in MadGraph/MadEvent
• Mixed QCD-electroweak O(α_sα) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections
• Automating the POWHEG method in Sherpa
• Next-to-leading order electroweak corrections to pp -> W+W- -> 4 leptons at the LHC in double-pole approximation

Cited by in corpus (16)

• Electroweak Radiative Corrections for Collider Physics
• Large electroweak corrections to vector-boson scattering at the Large Hadron Collider
• NLO electroweak corrections to off-shell top-antitop production with leptonic decays at the LHC
• Next-to-leading-order electroweak corrections to $pp\to W^{+}{W}^{-}\to$ 4 leptons at the LHC
• Precise predictions for same-sign W-boson scattering at the LHC
• Higgs production in association with off-shell top-antitop pairs at NLO EW and QCD at the LHC
• NNLO QCD study of polarised $W^{+}{W}^{-}$ production at the LHC
• Fully-differential Top-Pair Production at a Lepton Collider: From Threshold to Continuum
• NLO Electroweak Corrections to Multi-Boson Processes at a Muon Collider
• Full NLO QCD corrections to off-shell ttbb production
• NLO QCD corrections to off-shell $\text{t}\bar{\text{t}}{\text{W}}^{+}$ production at the LHC
• Polarized Z bosons from the decay of a Higgs boson produced in association with two jets at the LHC
• Next-to-leading-order QCD and electroweak corrections to triple-W production with leptonic decays at the LHC
• Like-Sign W-Boson Scattering at the LHC -- Approximations and Full Next-to-Leading-Order Predictions
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC