Constructing All-Order Corrections to Multi-Jet Rates

Abstract

We discuss the universal behaviour of scattering cross sections in the limit of infinite rapidity separation between all produced particles, and illustrate the behaviour explicitly for the production of n jets, W+n jets, Z+n jets for n=2,3,4, and for H+2,3 jets. We give a set of rules for constructing scattering cross sections, which are exact in the given limit, and order-by-order reproduce well the full fixed order results when applied to LHC phenomenology. The approximation includes both real and virtual corrections, and is sufficiently simple to allow for the regulated all-order perturbative sum to be explicitly constructed. We test the expected accuracy by comparing results order-by-order with full fixed-order perturbation theory for the processes mentioned above.

35 pages, v2: typos corrected

References in corpus (10)

• A Brief Introduction to PYTHIA 8.1
• Parton distributions for the LHC
• Event generation with SHERPA 1.1
• Herwig++ Physics and Manual
• MadGraph/MadEvent v4: The New Web Generation
• Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA
• Higgs Boson Production in Association with Multiple Hard Jets
• The POWHEG-hvq manual version 1.0
• A New Framework for Multijet Predictions and its application to Higgs Boson production at the LHC
• On the role of NLL corrections and Energy Conservation in the High Energy Evolution of QCD

Cited by in corpus (64)

• Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report
• Measurements of the W production cross sections in association with jets with the ATLAS detector
• Gluon saturation in dijet production in p-Pb collisions at Large Hadron Collider
• Multiple Jets at the LHC with High Energy Jets
• Helicity amplitudes for high-energy scattering
• Next-to-soft corrections to high energy scattering in QCD and gravity
• Measurement of dijet production with a veto on additional central jet activity in pp collisions at sqrt(s)=7 TeV using the ATLAS detector
• Uncertainties in NLO + parton shower matched simulations of inclusive jet and dijet production
• Event Generators for High-Energy Physics Experiments
• Measurement of the inclusive production cross sections for forward jets and for dijet events with one forward and one central jet in pp collisions at sqrt(s) = 7 TeV
• Measuring Higgs CP and couplings with hadronic event shapes
• Measurements of jet vetoes and azimuthal decorrelations in dijet events produced in $pp$ collisions at $\sqrt{s}$ = 7 TeV using the ATLAS detector
• High-energy QCD amplitudes at two loops and beyond
• Scaling Patterns for QCD Jets
• The Factorisation of the t-channel Pole in Quark-Gluon Scattering
• Studies of W boson plus jets production in p\bar{p} collisions at sqrt(s)=1.96 TeV
• PanScales parton showers for hadron collisions: formulation and fixed-order studies
• Factorization and Resummation for Generic Hierarchies between Jets
• W Plus Multiple Jets at the LHC with High Energy Jets
• Azimuthal Angle Correlations for Higgs Boson plus Multi-Jet Events
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Measurements of electroweak $Wjj$ production and constraints on anomalous gauge couplings with the ATLAS detector
• Polishing a shiny Higgs with matrix elements
• High-Energy Factorization for Drell-Yan process in $pp$ and $p\bar{p}$ collisions with new Unintegrated PDFs
• A Parton Shower for High Energy Jets
• Charge asymmetry in W + jets production at the LHC
• Diphoton production at Tevatron and the LHC in the NLO* approximation of the Parton Reggeization Approach
• QCD and Jets at Hadron Colliders
• Simulated NNLO for high-pT observables in vector boson + jets production at the LHC
• Higgs Boson Plus Dijets: Higher Order Corrections
• Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms
• Phenomenological analysis of Higgs boson production through gluon fusion in association with jets
• Z/gamma* plus Multiple Hard Jets in High Energy Collisions
• Towards stability of NLO corrections in High-Energy Factorization via Modified Multi-Regge Kinematics approximation
• Measurement of four-jet differential cross sections in $\sqrt{s}=8$ TeV proton-proton collisions using the ATLAS detector
• Transverse Vetoes with Rapidity Cutoff in SCET
• HEJ 2: High Energy Resummation for Hadron Colliders
• Combined subleading high-energy logarithms and NLO accuracy for W production in association with multiple jets
• High Energy Resummed Predictions for the Production of a Higgs Boson with at least One Jet
• Finite Quark-Mass Effects in Higgs Boson Production With Dijets at Large Energies
• A QCD description of the ATLAS jet veto measurement
• HEJ 2.2: W boson pairs and Higgs boson plus jet production at high energies
• High Energy Description of Processes with Multiple Hard Jets
• Aspects of High Energy Scattering
• EasyScan_HEP: a tool for connecting programs to scan the parameter space of physics models
• Probing higher-order corrections in dijet production at the LHC
• Logarithmic corrections to the QCD component of same-sign W-pair production for VBS studies
• Measurements of jet cross-section ratios in 13 TeV proton--proton collisions with ATLAS
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• HEJ 2.1: High-energy Resummation with Vector Bosons and Next-to-Leading Logarithms
• Merging High Energy with Soft and Collinear Logarithms using HEJ and PYTHIA
• Differential cross-sections for events with missing transverse momentum and jets measured with the ATLAS detector in 13 TeV proton-proton collisions
• A parton shower generator based on the GLR equation
• One-loop impact factor for the emission of two gluons
• Studies of Quantum Chromodynamics at the LHC
• Higgs production via vector-boson fusion at the LHC
• All-Order Corrections and Multi-Jet Rates
• The High Energy Jets Framework
• Les Houches study on inclusive jet production at NNLO+NNLL
• Subleading Corrections to Hadronic Cross-Sections at High Energies
• Stable perturbative predictions for isolated photon production with a jet pair at large $m_{j_1{j}_2}$
• Monte Carlo for the LHC
• Small-x QCD physics probed with jets in CMS