Non-global logarithms in jet and isolation cone cross sections

Abstract

Starting from a factorization theorem in effective field theory, we derive a parton-shower equation for the resummation of non-global logarithms. We have implemented this shower and interfaced it with a tree-level event generator to obtain an automated framework to resum the leading logarithm of non-global observables in the large-$N_c$ limit. Using this setup, we compute gap fractions for dijet processes and isolation cone cross sections relevant for photon production. We compare our results with fixed-order computations and LHC measurements. We find that naive exponentiation is often not adequate, especially when the vetoed region is small, since non-global contributions are enhanced due to their dependence on the veto-region size. Since our parton shower is derived from first principles and based on renormalization-group evolution, it is clear what ingredients will have to be included to perform resummations at subleading logarithmic accuracy in the future.

arXiv comment39 pages, 13 figures. v2: journal version with new result (4.18) for narrow isolation cones

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
• The anti-k_t jet clustering algorithm
• An Introduction to PYTHIA 8.2
• A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX
• Herwig++ Physics and Manual
• Parton distributions with LHC data
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam
• Resummation of non-global QCD observables
• A standard format for Les Houches Event Files
• Isolated photons in perturbative QCD
• Cross section of isolated prompt photons in hadron-hadron collisions
• Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
• Away-from-jet energy flow
• Higgs and Z-boson production with a jet veto
• Jet p_T Resummation in Higgs Production at NNLL'+NNLO
• Super-leading logarithms in non-global observables in QCD?
• Small-radius jets to all orders in QCD
• Predictions for diphoton production at the LHC through NNLO in QCD
• The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production
• NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production
• Accounting for coherence in interjet E_t flow: a case study
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• An Effective Field Theory for Jet Processes
• Direct photon production with effective field theory
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• Measurement of W^+W^- production in pp collisions at sqrt{s}=7 TeV with the ATLAS detector and limits on anomalous WWZ and WWgamma couplings
• Direct photon production at next-to-next-to-leading order
• Multiple Jets at the LHC with High Energy Jets
• Inclusive jet spectrum for small-radius jets
• Measurement of the inclusive isolated prompt photon cross-section in pp collisions at sqrt(s)= 7 TeV using 35 pb-1 of ATLAS data
• Non-global logarithms and jet algorithms in high-pT jet shapes
• Subleading Nc improved Parton Showers
• Measurement of the W+W- cross section in pp collisions at sqrt(s) = 7 TeV and limits on anomalous WW gamma and WWZ couplings
• Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation
• Fragmentation of a Jet with Small Radius
• Triple collinear emissions in parton showers
• Implementing NLO DGLAP evolution in Parton Showers
• Measurement of dijet production with a veto on additional central jet activity in pp collisions at sqrt(s)=7 TeV using the ATLAS detector
• Factorization and Resummation for Jet Processes
• Measurement of the inclusive isolated prompt photon cross section in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Introduction to Soft-Collinear Effective Theory
• Quarks and Gluon Fragmentation Functions into Photons
• A framework for second-order parton showers
• The Energy Distribution of Subjets and the Jet Shape
• Energy and Color Flow in Dijet Rapidity Gaps
• Measurements of jet vetoes and azimuthal decorrelations in dijet events produced in $pp$ collisions at $\sqrt{s}$ = 7 TeV using the ATLAS detector
• Jet vetoing at the LHC
• Summing Large-N Towers in Colour Flow Evolution
• Jet Production via Strongly-Interacting Color-Singlet Exchange in $p\bar{p}$ Collisions
• Energy Flow in Interjet Radiation
• Transverse-momentum spectra of electroweak bosons near threshold at NNLO
• The dijet cross section with a jet veto
• Automated NNLL+NLO Resummation for Jet-Veto Cross Sections
• Isolating Prompt Photons with Narrow Cones
• Momentum conservation and unitarity in parton showers and NLL resummation
• What is a parton shower?
• Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC
• QCD Corrections to Photon Production in Association with Hadrons in $e^{+}{e}^{-}$ Annihilation
• Transverse Vetoes with Rapidity Cutoff in SCET
• Resumming double non-global logarithms in the evolution of a jet
• Non-global and rapidity logarithms in narrow jet broadening
• A QCD description of the ATLAS jet veto measurement
• Soft gluon evolution and non-global logarithms
• Les Houches Lectures on Soft-Collinear Effective Theory
• Streamlining resummed QCD calculations using Monte Carlo integration
• Semi-inclusive jet cross sections within SCET

Cited by in corpus (32)

• Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning
• Event Generators for High-Energy Physics Experiments
• Open Quantum Systems for Quarkonia
• Fiducial $q_T$ resummation of color-singlet processes at N${}^3$LL+NNLO
• Parton showers with more exact color evolution
• Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
• Resummation of Boson-Jet Correlation at Hadron Colliders
• Higher-order non-global logarithms from jet calculus
• Soft gluon emission at two loops in full color
• Parton showering with higher-logarithmic accuracy for soft emissions
• Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions
• NLL${}^{\prime }$ resummation of jet mass
• Resummation of Super-Leading Logarithms
• Precise predictions for photon pair production matched to parton showers in GENEVA
• Threshold Resummation at NNLL for Single-particle Production in Hadronic Collisions
• Two-loop anomalous dimension for the resummation of non-global observables
• Jet Veto Resummation with Jet Rapidity Cuts
• The Zγ transverse-momentum spectrum at NNLO+N3LL
• Resummation of Next-to-Leading Non-Global Logarithms at the LHC
• Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms
• QCD resummation on single hadron transverse momentum distribution with the thrust axis
• The Sivers Asymmetry in Hadronic Dijet Production
• Isolated photon and photon+jet production at NNLO QCD accuracy
• Non-Global and Clustering Effects for Groomed Multi-Prong Jet Shapes
• The soft drop momentum sharing fraction $z_g$ beyond leading-logarithmic accuracy
• Single Photon Production at Hadron Colliders at NNLO QCD with Realistic Photon Isolation
• Glauber Phases in Non-Global LHC Observables: Resummation for Quark-Initiated Processes
• Conformal totally symmetric arbitrary spin fermionic fields
• QCD anatomy of photon isolation
• QCD and High Energy Interactions: MORIOND 2019 Theory Summary
• Towards Colour Flow Evolution at Two Loops
• Stable perturbative predictions for isolated photon production with a jet pair at large $m_{j_1{j}_2}$