On the breaking of collinear factorization in QCD

Abstract

We investigate the breakdown of collinear factorization for non-inclusive observables in hadron-hadron collisions. For pure QCD processes, factorization is violated at the three-loop level and it has a structure identical to that encountered previously in the case of super-leading logarithms. In particular, it is driven by the non-commutation of Coulomb/Glauber gluon exchanges with other soft exchanges. Beyond QCD, factorization may be violated at the two-loop level provided that the hard subprocess contains matrix element contributions with phase differences between different colour topologies.

Version 2: minor improvements for journal publication

References in corpus (7)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Super-leading logarithms in non-global observables in QCD?
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation
• Soft-Gluon Cancellation, Phases and Factorization with Initial-State Partons
• Symmetry of anomalous dimension matrices explained

Cited by in corpus (56)

• 50 Years of Quantum Chromodynamics
• Boosted objects and jet substructure at the LHC
• An Effective Field Theory for Forward Scattering and Factorization Violation
• Bootstrapping the QCD soft anomalous dimension
• Transverse-momentum resummation for heavy-quark hadroproduction
• Hadron structure in high-energy collisions
• Exposing the QCD Splitting Function with CMS Open Data
• Glauber Gluons and Multiple Parton Interactions
• Event Generators for High-Energy Physics Experiments
• QCD resummation for hadronic final states
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• The Effective Vector Boson Approximation in High-Energy Muon Collisions
• Wilson line approach to gravity in the high energy limit
• Infrared Singularities of Scattering Amplitudes and N${}^3$LL Resummation for $n$-Jet Processes
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• Parton branching at amplitude level
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Measurements of jet vetoes and azimuthal decorrelations in dijet events produced in $pp$ collisions at $\sqrt{s}$ = 7 TeV using the ATLAS detector
• Jet axes and universal transverse-momentum-dependent fragmentation
• Dissecting Soft Radiation with Factorization
• Drell-Yan process with jet vetoes: breaking of generalized factorization
• Collinear factorization violation and effective field theory
• Resummation of Boson-Jet Correlation at Hadron Colliders
• Transverse Momentum Spectra at Threshold for Groomed Heavy Quark Jets
• Double collinear splitting amplitudes at next-to-leading order
• Boosted top production: factorization and resummation for single-particle inclusive distributions
• Soft gluon emission at two loops in full color
• Extra Spin Asymmetries From the Breakdown of TMD-Factorization in Hadron-Hadron Collisions
• Probing Transverse-Momentum Dependent Evolution With Groomed Jets
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Resummation of Super-Leading Logarithms
• Factorization Violation and Scale Invariance
• QCD and Jets at Hadron Colliders
• Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms
• The quark induced Mueller-Tang jet impact factor at next-to-leading order
• Triple collinear splitting functions at NLO for scattering processes with photons
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Polarized triple-collinear splitting functions at NLO for processes with photons
• The Sivers Asymmetry in Hadronic Dijet Production
• Coulomb gluons and the ordering variable
• On the non-cancellation of infrared singularities in collisions of massive quarks
• Coulomb gluons will generally destroy coherence
• Eikonal gluon bremsstrahlung at finite N_c beyond two loops
• Collinear functions for QCD resummations
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Triple-collinear splittings with massive particles
• Imaginary parts and discontinuities of Wilson line correlators
• Rings and strings: a basis for understanding subleading colour and QCD coherence beyond the two-jet limit
• Position-space cuts for Wilson line correlators
• Glauber Phases in Non-Global LHC Observables: Resummation for Quark-Initiated Processes
• Nonperturbative transverse-momentum-dependent effects in dihadron and direct photon-hadron angular correlations in $p+p$ collisions at $\sqrt{s}=200$ GeV
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• A new form of QCD coherence for multiple soft emissions using Glauber-SCET
• Catani's generalization of collinear factorization breaking
• IRC-safe jet flavour at leading power