Probing nuclear dynamics in jet production with a global event shape

Abstract

We study single jet production in electron-nucleus collisions e^- + N_A -> J + X, using the 1-jettiness (τ_1) global event shape. It inclusively quantifies the pattern of radiation in the final state, gives enhanced sensitivity to soft radiation at wide angles from the nuclear beam and final-state jet, and facilitates the resummation of large Sudakov logarithms associated with the veto on additional jets. Through their effect on the observed pattern of radiation, 1-jettiness can be a useful probe of nuclear PDFs and power corrections from dynamical effects in the nuclear medium. This formalism allows for the standard jet shape analysis while simultaneously providing sensitivity to soft radiation at wide angles from the jet. We use a factorization framework for cross-sections differential in ${\tau }_1$ and the transverse momentum (P_{J_T}) and rapidity (y) of the jet, in the region τ_1<< P_{J_T}. The restriction ${\tau }_1<<P_{J_T}$ allows only soft radiation between the nuclear beam and jet directions, thereby acting as a veto on additional jets. This region is also insensitive to the details of the jet algorithm, allowing for better theoretical control over resummation, while providing enhanced sensitivity to nuclear medium effects. We give numerical results at leading twist, with resummation at the next-to-next-to-leading logarithmic (NNLL) level of accuracy, for a variety of nuclear targets. Such studies would be ideal for the EIC and the LHeC proposals for a future electron-ion collider, where a range of nuclear targets are planned.

49 pages, 13 Figures, journal version

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Cited by in corpus (25)

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• The Quark Beam Function at Two Loops
• XCone: N-jettiness as an Exclusive Cone Jet Algorithm
• The Sudakov radiator for jet observables and the soft physical coupling
• The 1-Jettiness DIS event shape: NNLL + NLO results
• Weak Polarized Electron Scattering
• Single-inclusive jet production in electron-nucleon collisions through next-to-next-to-leading order in perturbative QCD
• Single-Inclusive Production of Hadrons and Jets in Lepton-Nucleon Scattering at NLO
• Jet angularity measurements for single inclusive jet production
• The Fully-Differential Quark Beam Function at NNLO
• The spin-dependent quark beam function at NNLO
• The Fully-Differential Gluon Beam Function at NNLO
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Dissecting the collinear structure of quark splitting at NNLL
• Double-Longitudinal Spin Asymmetry in Single-Inclusive Lepton Scattering at NLO
• Near-to-planar three-jet events at NNLL accuracy
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
• A general method for the resummation of event-shape distributions in e^+e^- annihilation
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Precision DIS thrust predictions for HERA and EIC
• Angular distributions of higher order splitting functions in the vacuum and in dense QCD matter
• The Evolution of Soft Collinear Effective Theory
• Nucleon Tomography with 0-jettiness
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics