Logarithmic accuracy of parton showers: a fixed-order study

Abstract

We formulate some first fundamental elements of an approach for assessing the logarithmic accuracy of parton-shower algorithms based on two broad criteria: their ability to reproduce the singularity structure of multi-parton matrix elements, and their ability to reproduce logarithmic resummation results. We illustrate our approach by considering properties of two transverse momentum ordered final-state showers, examining features up to second order in the strong coupling. In particular we identify regions where they fail to reproduce the known singular limits of matrix elements. The characteristics of the shower that are responsible for this also affect the logarithmic resummation accuracies of the shower, both in terms of leading (double) logarithms at subleading $N_C$ and next-to-leading (single) logarithms at leading $N_C$.

arXiv comment23+10 pages, 5+1 figures; v2 updates acknowledgements and references; v3 includes additional references, published in JHEP; v4 corrects the results for the thrust and vector pt, with unchanged conclusions

References in corpus (73)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• An Introduction to PYTHIA 8.2
• A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX
• A New Method for Combining NLO QCD with Shower Monte Carlo Algorithms
• Matching NLO QCD computations with Parton Shower simulations: the POWHEG method
• Event generation with SHERPA 1.1
• Matching NLO QCD computations and parton shower simulations
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• Herwig 7.0 / Herwig++ 3.0 Release Note
• A parton shower algorithm based on Catani-Seymour dipole factorisation
• Better Jet Clustering Algorithms
• QCD Matrix Elements + Parton Showers
• Tuning Monte Carlo Generators: The Perugia Tunes
• QCD matrix elements + parton showers: The NLO case
• Identifying Boosted Objects with N-subjettiness
• Merging meets matching in MC@NLO
• Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV
• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
• General-purpose event generators for LHC physics
• Transverse-Momentum-Ordered Showers and Interleaved Multiple Interactions
• Jet energy measurement and its systematic uncertainty in proton-proton collisions at $\sqrt{s}=7$ TeV with the ATLAS detector
• Correcting the Colour-Dipole Cascade Model with Fixed Order Matrix Elements
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• NNLOPS simulation of Higgs boson production
• Multijet matrix elements and shower evolution in hadronic collisions: W b bbar + n jets as a case study
• MINLO: Multi-scale improved NLO
• Principles of general final-state resummation and automated implementation
• Multiple Interactions and the Structure of Beam Remnants
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Systematic event generator tuning for the LHC
• Double Unresolved Approximations to Multiparton Scattering Amplitudes
• Event Shape/Energy Flow Correlations
• New formalism for QCD parton showers
• A simple shower and matching algorithm
• Coherent Parton Showers with Local Recoils
• Parton showers with quantum interference
• The midpoint between dipole and parton showers
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Drell-Yan lepton pair production at NNLO QCD with parton showers
• Simulation of multiple partonic interactions in Herwig++
• Higher-Order Corrections to Timelike Jets
• Constraining MPI models using sigma_effective and recent Tevatron and LHC Underlying Event data
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Resummation of non-global logarithms at finite $N_c$
• Matching Fully Differential NNLO Calculations and Parton Showers
• Triple collinear emissions in parton showers
• NNLL Resummation for Jet Broadening
• Implementing NLO DGLAP evolution in Parton Showers
• Vincia for Hadron Colliders
• A parton shower based on factorization of the quantum density matrix
• Antenna Showers with One-Loop Matrix Elements
• A framework for second-order parton showers
• Multiparton Interactions with an x-dependent Proton Size
• Multiparton Interactions and Rescattering
• The two-jet rate in e^+e^- at next-to-next-to-leading-logarithmic order
• Parton shower evolution with subleading color
• An eikonal model for multiparticle production in hadron-hadron interactions
• Matching NLO QCD with parton shower in Monte Carlo scheme - the KrkNLO method
• Improving the Simulation of Quark and Gluon Jets with Herwig 7
• On the transverse momentum in Z-boson production in a virtuality ordered parton shower
• Colour connections in e+e- -annihilation
• Angular ordering and parton showers for non-global QCD observables
• Monte Carlo and large angle gluon radiation
• Some remarks on dipole showers and the DGLAP equation
• Energy and Virtuality Scale Dependence in Quark and Gluon Jets
• Ordering variable for parton showers
• Final state dipole showers and the DGLAP equation
• On the dependence of QCD splitting functions on the choice of the evolution variable
• Soft gluon evolution and non-global logarithms
• QCD Jets and Parton Showers
• Monte Carlo modelling of NLO DGLAP QCD evolution in the fully unintegrated form

Cited by in corpus (70)

• Event Generation with Sherpa 2.2
• Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning
• 50 Years of Quantum Chromodynamics
• Parton showers beyond leading logarithmic accuracy
• The Lund Jet Plane
• MiNNLO${}_{\text{PS}}$: A new method to match NNLO QCD to parton showers
• Heavy Neutrinos with Dynamic Jet Vetoes: Multilepton Searches at $\sqrt{s}=14,27,$ and $100$ TeV
• Leading-color fully differential two-loop soft corrections to QCD dipole showers
• MiNNLO${}_{\mathrm{PS}}$: Optimizing $2\to 1$ hadronic processes
• Event Generators for High-Energy Physics Experiments
• What is the Top Quark Mass?
• Next-to-next-to-leading order event generation for top-quark pair production
• Measurement of the Lund jet plane using charged particles in 13 TeV proton-proton collisions with the ATLAS detector
• Parton branching at amplitude level
• Doubly Charged Higgs Boson Production at Hadron Colliders
• Summations of large logarithms by parton showers
• Spin correlations in final-state parton showers and jet observables
• Color matrix element corrections for parton showers
• The Sudakov radiator for jet observables and the soft physical coupling
• Top-pair production at the LHC with MiNNLO${}_{\mathrm{PS}}$
• On the Cutoff Dependence of the Quark Mass Parameter in Angular Ordered Parton Showers
• PanScales parton showers for hadron collisions: formulation and fixed-order studies
• Nonperturbative Corrections to Soft Drop Jet Mass
• Higher-order non-global logarithms from jet calculus
• PanScales showers for hadron collisions: all-order validation
• Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
• Soft spin correlations in final-state parton showers
• Measuring QCD Splittings with Invertible Networks
• Non-global logarithms in hadron collisions at $N_c=3$
• Joint resummation of two angularities at next-to-next-to-leading logarithmic order
• Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA
• Improvements on dipole shower colour
• Boosted Top Quarks in the Peak Region with N${}^3$LL Resummation
• Resummed predictions for jet-resolution scales in multijet production in $e^{+}{e}^{-}$ annihilation
• A new approach to QCD final-state evolution in processes with massive partons
• Disentangling soft and collinear effects in QCD parton showers
• Initial State Radiation in the Herwig 7 Angular-Ordered Parton Shower
• Explainable machine learning of the underlying physics of high-energy particle collisions
• Four-lepton production in gluon fusion at NLO matched to parton showers
• Collinear Drop
• A Monte-Carlo Simulation of Double Parton Scattering
• Leading jets and energy loss
• Leveraging universality of jet taggers through transfer learning
• Introduction to the PanScales framework, version 0.1
• QCD resummation for groomed jet observables at NNLL+NLO
• Efficient multi-jet merging with the Vincia sector shower
• Dynamical grooming meets LHC data
• Dissecting the collinear structure of quark splitting at NNLL
• Multiplicative-Accumulative matching of NLO calculations with parton showers
• Near-to-planar three-jet events at NNLL accuracy
• Matching and event-shape NNDL accuracy in parton showers
• Rings and strings: a basis for understanding subleading colour and QCD coherence beyond the two-jet limit
• Pure Quark and Gluon Observables in Collinear Drop
• Electroweak, QCD and flavour physics studies with ATLAS data from Run 2 of the LHC
• Measurement of the primary Lund jet plane density in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Logarithmically-accurate and positive-definite NLO shower matching
• A formalism for the resummation of non-factorizable observables in SCET
• Top tagging : an analytical perspective
• Identifying Heavy-Flavor Jets Using Vectors of Locally Aggregated Descriptors
• Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO${}_A$+NNLL
• Investigating top tagging with Y${}_{\text{m}}$-Splitter and N-subjettiness
• A new approach to color-coherent parton evolution
• How much joint resummation do we need?
• Multivariable evolution in parton showers with initial state partons
• Sudakov evolution without unitarity
• Higgs production via vector-boson fusion at the LHC
• Theory Vision talk at LHCP2018
• Impact of the Recoil Scheme on the Accuracy of Angular-Ordered Parton Showers
• Event generation at MEPS@NLO accuracy in neutral and charged current DIS at the EIC
• Reweighting and Analysing Event Generator Systematics by Neural Networks on High-Level Features