Higher-order non-global logarithms from jet calculus

Abstract

Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was formulated at the leading-logarithmic order about two decades ago. In this article we present a solution to the long-standing problem of their resummation beyond this order, and carry out the first complete next-to-leading logarithmic calculation for non-global observables. This is achieved by solving numerically the recently derived set of non-linear differential equations which describe the evolution of soft radiation in the planar, large-$N_c$ limit. As a case study we address the calculation of the transverse energy distribution in the interjet rapidity region in $e^{+}{e}^{-}\to$ dijet production. The calculation is performed by means of an algorithm that we formulate in the language of jet-calculus generating functionals, which also makes the resummation technique applicable to more general non-global problems, such as those that arise in hadronic collisions. We find that NLL corrections are substantial and their inclusion leads to a significant reduction of the perturbative scale uncertainties for these observables. The computer code used in the calculations is made publicly available.

arXiv comment33 pages, 5 figures, code repository: https://github.com/non-global/gnole

References in corpus (45)

• Antenna Subtraction at NNLO
• Resummation of non-global QCD observables
• Transverse-Momentum-Ordered Showers and Interleaved Multiple Interactions
• Fully differential VBF Higgs production at NNLO
• Double Unresolved Approximations to Multiparton Scattering Amplitudes
• Away-from-jet energy flow
• Higgs and Z-boson production with a jet veto
• A simple shower and matching algorithm
• The midpoint between dipole and parton showers
• Parton showers beyond leading logarithmic accuracy
• Super-leading logarithms in non-global observables in QCD?
• Accounting for coherence in interjet E_t flow: a case study
• An Effective Field Theory for Jet Processes
• Logarithmic accuracy of parton showers: a fixed-order study
• Resummation of non-global logarithms at finite $N_c$
• Non-global logarithms and jet algorithms in high-pT jet shapes
• Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation
• On jet mass distributions in Z+jet and dijet processes at the LHC
• Non-global jet evolution at finite N_c
• Factorization and Resummation for Jet Processes
• Problems in resumming interjet energy flows with k_t clustering
• Leading-color fully differential two-loop soft corrections to QCD dipole showers
• Relating $e^{+}{e}^{-}$ annihilation to high energy scattering at weak and strong coupling
• Resummation and simulation of soft gluon effects beyond leading colour
• Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond
• The two-jet rate in e^+e^- at next-to-next-to-leading-logarithmic order
• Summations of large logarithms by parton showers
• Non-global logarithms in jet and isolation cone cross sections
• Spin correlations in final-state parton showers and jet observables
• Jet vetoing at the LHC
• The Sudakov radiator for jet observables and the soft physical coupling
• Higgs transverse momentum with a jet veto: a double-differential resummation
• Hemisphere jet mass distribution at finite $N_c$
• The Analytic Structure of Non-Global Logarithms: Convergence of the Dressed Gluon Expansion
• The dijet cross section with a jet veto
• Non-Global Logarithms in Filtered Jet Algorithms
• Non-global logarithms in hadron collisions at $N_c=3$
• NLL${}^{\prime }$ resummation of jet mass
• Factorization for the light-jet mass and hemisphere soft function
• Resummation of Super-Leading Logarithms
• The Asymptotic Form of Non-Global Logarithms, Black Disc Saturation, and Gluonic Deserts
• Non-global and rapidity logarithms in narrow jet broadening
• Non-Global and Clustering Effects for Groomed Multi-Prong Jet Shapes
• Jet mass distribution in Higgs/vector boson + jet events at hadron colliders with $k_t$ clustering
• Effect of color on rapidity gap survival

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• Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms
• A unified picture of medium-induced radiation
• Multi-Collinear Splitting Kernels for Track Function Evolution
• Introduction to the PanScales framework, version 0.1
• Sudakov Shoulder Resummation for Thrust and Heavy Jet Mass
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• Azimuthal decorrelation between a jet and a Z boson at hadron colliders
• Two-loop anomalous dimensions for small-$R$ jet versus hadronic fragmentation functions
• Precision three-dimensional imaging of nuclei using recoil-free jets
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• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• Non-global logarithms up to four loops at finite-N${}_c$ for V/H+jet processes at hadron colliders
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• Hemisphere mass up to four-loops with generalised $k_t$ algorithms
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