Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions

Abstract

Knowledge of two-loop QCD amplitudes for processes $q\bar{q}\to V_1{V}_2\to (l_1{\bar{l}}_1^{\prime })(l_2{\bar{l}}_2^{\prime })$ is important for improving the theoretical description of four-lepton production in hadron collisions. In this paper we compute these helicity amplitudes for all intermediate vector bosons, $V_1{V}_2={\gamma }^{\ast }{\gamma }^{\ast },WW,ZZ,WZ,W{\gamma }^{\ast }$, including off-shell effects and decays to leptons.

arXiv comment20 pages, 3 tables, 3 figures. v2: tab. 3 and fig. 3 corrected

References in corpus (36)

• Matching NLO QCD computations and parton shower simulations
• Multiloop integrals in dimensional regularization made simple
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson pair production at the LHC
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Antenna Subtraction at NNLO
• FORM version 4.0
• Algorithm FIRE -- Feynman Integral REduction
• Numerical evaluation of multiple polylogarithms
• ZZ production at hadron colliders in NNLO QCD
• A novel subtraction scheme for double-real radiation at NNLO
• W+W-, WZ and ZZ production in the POWHEG BOX
• Inadequacy of zero-width approximation for a light Higgs boson signal
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Bounding the Higgs width at the LHC using full analytic results for gg -> 2e 2μ
• FIRE4, LiteRed and accompanying tools to solve integration by parts relations
• Universality of transverse-momentum resummation and hard factors at the NNLO
• Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties
• Gluon-induced W-boson pair production at the LHC
• Helicity Amplitudes for $\mathcal{O}({\alpha }_s)$ Production of $W^{+}{W}^{-},W^{\pm }Z,ZZ,W^{\pm }\gamma ,$ or $Z\gamma$ Pairs at Hadron Colliders
• Vector-boson pair production at the LHC to $\mathcal{O}({\alpha }^3)$ accuracy
• Subtraction terms at NNLO
• $Z\gamma$ production at hadron colliders in NNLO QCD
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• Electroweak corrections to W-boson pair production at the LHC
• A Positive-Weight Next-to-Leading-Order Monte Carlo for Z Pair Hadroproduction
• Gluon-induced WW background to Higgs boson searches at the LHC
• Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
• Next-to-leading order electroweak corrections to pp -> W+W- -> 4 leptons at the LHC in double-pole approximation
• Soft-gluon effects in WW production at hadron colliders
• Two-loop QCD helicity amplitudes for $gg\to Zg$ and $gg\to Z\gamma$
• A positive-weight next-to-leading order simulation of weak boson pair production
• WW production at high transverse momenta beyond NLO
• W Pair Production at the LHC - I. Virtual O(alpha_s^2) Corrections in the High Energy Limit
• NNLO jet cross sections by subtraction

Cited by in corpus (29)

• FIRE5: a C++ implementation of Feynman Integral REduction
• $W^{\pm }Z$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• QCD corrections to ZZ production in gluon fusion at the LHC
• Collider Physics at the Precision Frontier
• The two-loop helicity amplitudes for $q{\bar{q}}^{\prime }\to V_1{V}_2\to 4\mathrm{leptons}$
• NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
• $W^{+}{W}^{-}$ production at the LHC: fiducial cross sections and distributions in NNLO QCD
• A Complete Two-Loop, Five-Gluon Helicity Amplitude in Yang-Mills Theory
• Production of two Z-bosons in gluon fusion in the heavy top quark approximation
• $ZZ$ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel
• NNLOPS accurate predictions for $W^{+}{W}^{-}$ production
• Two loop correction to interference in $gg\to ZZ$
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• $ZZ$ production at the LHC: NNLO predictions for $2\ell 2\nu$ and $4\ell$ signatures
• Automated NNLL+NLO Resummation for Jet-Veto Cross Sections
• Integrated triple-collinear counter-terms for the nested soft-collinear subtraction scheme
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Differential equations for loop integrals in Baikov representation
• Two-loop massless QCD corrections to the $g+g\to H+H$ four-point amplitude
• Full Colour for Loop Amplitudes in Yang-Mills Theory
• Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts
• $W^{+}{W}^{-}$ production at NNLO+PS with MiNNLO${}_{\mathrm{PS}}$
• Next-to-next-to-leading order event generation for $Z$ boson pair production matched to parton shower
• Merging WW and WW+jet with MINLO
• ZZ production at high transverse momenta beyond NLO QCD
• A first computation of three-loop master integrals for the production of two off-shell vector bosons with different masses
• Monte Carlo evaluation of divergent one-loop integrals without contour deformation
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• Threshold resummation for $W$-boson pair production at NNLO+NNLL