Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections

Abstract

We present a calculation of the bosonic contribution to the two-loop mixed QCD-electroweak scattering amplitudes for $Z$-boson production in association with one hard jet at hadron colliders. We employ a method to calculate amplitudes in the 't Hooft-Veltman scheme that reduces the amount of spurious non-physical information needed at intermediate stages of the computation, to keep the complexity of the calculation under control. We compute all the relevant Feynman integrals numerically using the Auxiliary Mass Flow method. We evaluate the two-loop scattering amplitudes on a two-dimensional grid in the rapidity and transverse momentum of the $Z$ boson, which has been designed to yield a reliable numerical sampling of the boosted-$Z$ region. This result provides an important building block for improving the theoretical modelling of a key background for monojet searches at the LHC.

arXiv comment26 pages, 2 figures, 3 tables, partial overlap with DPhil thesis 2311.06977

References in corpus (50)

• Asymptotic expansion of Feynman integrals near threshold
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• OpenLoops 2
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• Predictions for all processes e^+e^- -> 4 fermions + gamma
• Reduze - Feynman Integral Reduction in C++
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• A novel approach to integration by parts reduction
• Higgs boson production in association with a jet at next-to-next-to-leading order
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• Precise QCD predictions for the production of a Z boson in association with a hadronic jet
• A Systematic and Efficient Method to Compute Multi-loop Master Integrals
• Electroweak Radiative Corrections for Collider Physics
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
• Radiative corrections to the neutral-current Drell-Yan process in the Standard Model and its minimal supersymmetric extension
• Precise predictions for V+jets dark matter backgrounds
• Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays
• Unstable particles in One Loop Calculations
• Electroweak corrections to dilepton + jet production at hadron colliders
• Direct photon production at next-to-next-to-leading order
• Dominant mixed QCD-electroweak $\mathcal{O}({\alpha }_s\alpha )$ corrections to Drell-Yan processes in the resonance region
• Electroweak corrections to hadronic production of W bosons at large transverse momenta
• W-boson plus jet differential distributions at NNLO in QCD
• Multiloop corrections for collider processes using auxiliary mass flow
• Analytic Continuation of Massless Two-Loop Four-Point Functions
• Effective theory calculation of resonant high-energy scattering
• Phenomenology of the Z-boson plus jet process at NNLO
• Tensor decomposition for bosonic and fermionic scattering amplitudes
• One-loop weak corrections to hadronic production of Z bosons at large transverse momenta
• Physical projectors for multi-leg helicity amplitudes
• NNLO QCD corrections for Drell-Yan $p_T^Z$ and ${\varphi }^{\ast }$ observables at the LHC
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Electroweak corrections to large transverse momentum production of W bosons at the LHC
• Electroweak Absorptive Parts in NRQCD Matching Conditions
• Mixed QCD-electroweak corrections to on-shell Z production at the LHC
• Electroweak corrections to hadronic photon production at large transverse momenta
• Electroweak corrections to monojet production at the Tevatron and the LHC
• Mixed QCD-electroweak corrections to W-boson production in hadron collisions
• Driving Miss Data: Going up a gear to NNLO
• Exploring the SMEFT at dimension-8 with Drell-Yan transverse momentum measurements
• Mixed NNLO QCD x electroweak corrections of O(N_f α_s α) to single-W/Z production at the LHC
• Resummation of High Order Corrections in $Z$ Boson Plus Jet Production at the LHC
• Contribution of third generation quarks to two-loop helicity amplitudes for W boson pair production in gluon fusion
• Heavy-quark pair production at lepton colliders at NNNLO in QCD
• Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
• Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum

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