Three-jet cross sections to next-to-leading order

Abstract

One- and two-jet inclusive quantities in hadron collisions have already been calculated to next-to-leading order accuracy, using both the subtraction and the cone method. Since the one-loop corrections have recently been obtained for all five-parton amplitudes, three-jet inclusive quantities can also be predicted to next-to-leading order. The subtraction method presented in the literature is based on a systematic use of boost-invariant kinematical variables, and therefore its application to three-jet production is quite cumbersome. In this paper we re-analyze the subtraction method and point out the advantage of using angle and energy variables. This leads to simpler results and it has complete generality, extending its validity to $n$-jet production. The formalism is also applicable to $n$-jet production in $e^{+}{e}^{-}$ annihilation and in photon-hadron collisions. All the analytical results necessary to construct an efficient numerical program for next-to-leading order three-jet inclusive quantities in hadroproduction are given explicitly. As new analytical result, we also report the collinear limits of all the two-to-four processes.

48 pages (Latex, macros are included)

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• Prompt photon production and photon-jet correlations at the LHC
• Automated calculation of Jet fragmentation at NLO in QCD
• RS resonance in di-final state production at the LHC to NLO+PS accuracy
• Precision prediction of a democratic up-family philic KSVZ axion model at the LHC
• W gamma production in hadronic collisions using the POWHEG+MiNLO method
• Strong-coupling Jet Energy Loss from AdS/CFT
• A numerical approach to infrared divergent multi-parton phase space integrals
• On factorisation schemes for the electron parton distribution functions in QED
• Generalised Antenna Functions for Higher-Order Calculations
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• Precise predictions for single-top production: the impact of EW corrections and QCD shower on the t-channel signature
• Heavy quark radiation in NLO+PS POWHEG generators
• Resonant leptoquark at NLO with POWHEG
• Quantifying quark mass effects at the LHC: A study of pp -> b anti-b b anti-b + X at next-to-leading order
• On the calculation of soft phase space integral
• Finite-width effects in unstable-particle production at hadron colliders
• W+charm production with massive c quarks in PowHel
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• Triple-collinear splittings with massive particles
• On Drell-Yan production of scalar leptoquarks coupling to heavy-quark flavours
• Resonance-improved parton-shower matching for the Drell-Yan process including electroweak corrections
• Hadronic decays of Higgs boson at NNLO matched with parton shower
• Antenna subtraction at NNLO with identified hadrons
• Random polarisations of the dipoles
• Inclusive-jet and Di-jet Production in Polarized Deep Inelastic Scattering
• NNLO+PS Monte Carlo simulation of photon pair production with MiNNLOPS
• Electroweak Higgs production with HiggsPO at NLO QCD
• Nagy-Soper subtraction scheme for multiparton final states
• Feynman Rules for the Rational Part of One-loop QCD Corrections in the MSSM
• Group independent color decomposition of next-to-leading order matrix elements for e^+ e^- \to four partons
• Next-to-leading-order predictions for D^{*+-} plus jet photoproduction at DESY HERA
• A Forward Branching Phase-Space Generator
• Recent Progress in Perturbative Quantum Field Theory
• Drell-Yan production in third-generation gauge vector leptoquark models at NLO+PS in QCD
• Top-quark pole mass extraction at NNLO accuracy, from total, single- and double-differential cross sections for $t\bar{t}+X$ production at the LHC
• Momentum mappings for subtractions at higher orders in QCD
• Construction of Infrared Finite Observables in N=4 Super Yang-Mills Theory
• Resonance-aware subtraction in the dipole method
• BSM WW production with a jet veto
• Looking for leptogluons
• Precise probing and discrimination of third-generation scalar leptoquarks
• Initial-Final and Initial-Initial antenna functions for real radiation at next-to-leading order
• High Energy Photoproduction
• The matrix element method at next-to-leading order for arbitrary jet algorithms
• Electroweakino pair production at the LHC: NLO SUSY-QCD corrections and parton-shower effects
• Dimensionally Regularized Box and Phase Space integrals involving gluons and massive quarks
• The dependence of dijet production on photon virtuality in ep collisions at HERA
• Doubly Charged Higgs Boson Production at Hadron Colliders II: A Zee-Babu Case Study
• Slepton pair production in the POWHEG BOX
• Matching and event-shape NNDL accuracy in parton showers
• Lepton pair production at NNLO in QED with EW effects
• MINLO t-channel single-top plus jet
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Systematic Improvement of Parton Showers with Effective Theory
• Four-jet production in $e^{+}{e}^{-}$ annihilation at next-to-leading order
• Infrared Safe Observables in $\mathcal{N}=4$ Super Yang-Mills Theory
• Exploring slicing variables for jet processes
• Some recent theoretical progress in Higgs boson and top quark physics at hadron colliders
• Tri-boson and WH production in the ${\mathrm{W}}^{+}{\mathrm{W}}^{+}\mathrm{jj}$ channel: predictions at full NLO accuracy and beyond
• Separation of soft and collinear infrared limits of QCD squared matrix elements
• Lepton collisions in MadGraph5_aMC@NLO
• Signal-background interference effects in Higgs-mediated diphoton production beyond NLO
• EW corrections and Heavy Boson Radiation at a high-energy muon collider
• Fully Differential Higgs Pair Production in Association With a $Z$ Boson at Next-to-Next-to-Leading Order in QCD
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Logarithmically-accurate and positive-definite NLO shower matching
• Double Higgs Production in Vector Boson Fusion at NLO QCD in HEFT
• Hadronic production of top-quark pairs in association with a pair of leptons in the POWHEG BOX framework
• Reconstructing partonic kinematics at colliders with Machine Learning
• $WW\gamma$ production at hadron colliders with NLO QCD+EW corrections and parton shower effects
• Next-To-Leading Order QCD Corrections to Associated Production of a SM Higgs Boson with a Pair of Weak Bosons in the POWHEG-BOX
• Parton-shower effects in polarized deep inelastic scattering
• Hadroproduction of $W^{+}{W}^{-}b\bar{b}$ at NLO accuracy matched with shower Monte Carlo programs
• Monojet Signatures from Heavy Colored Particles: Future Collider Sensitivities and Theoretical Uncertainties
• Local analytic sector subtraction for initial- and final-state radiation at NLO in massless QCD
• NNLOCAL: completely local subtractions for color-singlet production in hadron collisions
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Sampling NNLO QCD phase space with normalizing flows
• NLO QCD corrections to off-shell top-antitop production with semi-leptonic decays at lepton colliders
• T-odd Asymmetry in W+jet Events at the LHC
• Status of jet cross sections to NNLO
• Removing phase-space restrictions in factorized cross sections
• Polarized-boson pairs at NLO in the SMEFT
• The treatment of the infrared region in perturbative QCD
• Slepton pair production in association with a jet: NLO-QCD corrections and parton-shower effects
• NLO QCD corrections to tW' and tZ' production in forward-backward asymmetry models
• Measurement of groomed event shape observables in deep-inelastic electron-proton scattering at HERA
• Efficient negative-weight elimination in large high-multiplicity Monte Carlo event samples
• Factorisation breaking in diffractive dijet photoproduction at HERA?
• Nagy-Soper subtraction: a review
• An interface between the POWHEG BOX and MadGraph5_aMC@NLO
• Automated calculations for multi-leg processes
• Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics
• Studies of Quantum Chromodynamics at the LHC
• Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD
• Three photon production to NLO+PS accuracy at the LHC
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• Automated next-to-leading order QCD and electroweak predictions of photon-photon processes in ultraperipheral collisions
• QCD at high energy
• Introduction to parton-shower event generators
• Probing the littlest Higgs model with $T$ parity using di-Higgs events through $Z_H$-pair production at the LHC in NLO QCD
• Recent theoretical progress in perturbative QCD
• QCD corrections to longitudinal spin asymmetries in $W^{\pm }$-boson production at RHIC
• Electroweak corrections and shower effects to Higgs production in association with two jets at the LHC
• Dark matter pair production in the MSSM and in simplified dark matter models at the LHC
• Super AutoDipole
• Precision phenomenology at multi-TeV muon colliders
• Sector-improved residue subtraction: Improvements and Applications
• Precision tools for the simulation of double-Higgs production via vector-boson fusion
• FKS subtraction for quarkonium production at NLO
• Møller scattering at NNLO
• Photon pair production in gluon fusion: Top quark effects at NLO with threshold matching
• Next-to-leading-order QCD corrections and parton-shower effects for weakino+squark production at the LHC
• Computation of NLO Processes Involving Heavy Quarks Using Loop-Tree Duality
• Precision measurement of the longitudinal double-spin asymmetry for dijet production at intermediate pseudorapidity in polarized $pp$ collisions at $\sqrt{s}$ = 200 GeV
• On the interference of $ggH$ and $c\bar{c}H$ Higgs production mechanisms and the determination of charm Yukawa coupling at the LHC
• The dipole formalism for massive initial-state particles and its application to dark matter calculations
• QCD corrections to e+ e- --> 4 jets
• NLO photon parton parametrization
• Proton structure at the LHC
• QCD at hadron colliders
• Results on Jet Spectra and Structure from ALICE
• Precise evaluation of the Cut Constructible part of one loop amplitudes within D-dimensional unitarity
• NLO calculations in QCD: a general algorithm
• One-loop triple collinear splitting amplitudes in QCD
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Automated computation of scattering amplitudes
• Track 3: Computations in theoretical physics -- techniques and methods
• Catani's generalization of collinear factorization breaking
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Jet and Di-Jet production in Photon-Photon collisions
• Infrared Finite Observables in N=8 Supergravity
• Higgs production via vector-boson fusion at the LHC
• Dipole Splitting Algorithm -- A practical algorithm to use the dipole subtraction procedure --
• Next-to-leading order QCD corrections to $e^{+}{e}^{-}\to 3$ jets with massive quarks
• Alternative subtraction scheme using Nagy Soper dipoles
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• QED and QCD self-energy corrections through the loop-tree duality
• Monte Carlo Event Generators
• Stay Positive: Neural Refinement of Sample Weights
• Next-to-Next-to-Leading Order QCD Corrections to Higgs Boson Pair Production
• Jet physics at hadron colliders
• NLO distributions for Higgs production at the LHC
• Electroweak $W^{+}{W}^{+}$ production in association with three jets at NLO QCD matched with parton shower
• Precise QCD predictions for jet production at the LHC
• Heavy charged Higgs boson production at the LHC
• Reducing negative weights in Monte Carlo event generation with Sherpa
• NLO QCD corrections to single vector-like top partner production in association with top quark at the LHC
• Probing the spin correlations of $t\bar{t}$ production at NLO QCD+EW
• Electroweak $t\bar{t}$ hadroproduction in the presence of heavy $Z^{\prime }$ and $W^{\prime }$ bosons at NLO QCD in POWHEG
• Integrands of Less-Supersymmetric Yang-Mills at One Loop
• Next-to-Leading Order QCD corrections to Three-Jet Rates with Massive Quarks
• On the reconstruction of kinematic distributions computed with Monte Carlo methods using orthogonal basis functions
• Higher-order QCD corrections to ${\gamma }^{\ast }{\gamma }^{\ast }\to hadrons$
• QCD at high energy (experiments)
• Applications of higher order QCD
• NLO and Parton Showers: the POWHEG-BOX
• NLO cross sections in 4 dimensions without DREG
• Monte Carlo Event Generators for Future Lepton Colliders
• Infrared finite cross sections at NNLO
• Chasing the two-Higgs-doublet model via electroweak corrections at $e^{+}{e}^{-}$ colliders
• Challenges for Monte Carlo generators
• Fully differential NLO predictions for rare and radiative lepton decays
• A stroll through the loop-tree duality
• Automated event generation for S-wave quarkonium and leptonium production in NRQCD and NRQED
• Antenna subtraction method for jet calculations at NNLO
• Top-mass observables: all-orders behaviour, renormalons and NLO + Parton Shower effects
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Local analytic sector subtraction for final state radiation at NNLO
• Photon pair production in gluon fusion: Top quark effects around threshold
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• The inclusion of higher-order QCD corrections into Parton Shower Monte Carlos
• Jet Production with Polarized Beams at Next-to-Leading Order
• IR subtraction schemes: integrating the counterterms at NNLO in QCD
• The running of the b-quark mass from LEP data