The 1-Jettiness DIS event shape: NNLL + NLO results

Abstract

We present results for the complete NNLL+NLO (~ α_s) 1-jettiness (τ_1) event shape distribution for single jet (J) production in electron-nucleus (N_A) collisions e^- + N_A \to e^- + J + X, in the deep inelastic scattering (DIS) region where the hard scale is set by the jet transverse momentum P_{J_T}. These results cover the entire τ_1-spectrum including the resummation (τ_1<<P_{J_T}) and fixed-order (τ_1~ P_{J_T}) perturbative QCD regions. They incorporate non-perturbative soft radiation effects, the anti-k_T jet algorithm in the fixed-order calculation, and a smooth matching between the resummation and fixed-order perturbative QCD regions. The matching smoothly connects the spectrum in the resummation region, which can be computed without reference to an external jet algorithm, and the fixed-order region where an explicit jet algorithm must be specified. Our code, used for generating the numerical results, is flexible enough to incorporate different jet algorithms for the fixed-order calculation. We also perform a jet shape analysis, defined within the 1-jettiness framework, which allows one to control the amount of radiation included in the definition of the final state jet. This formalism can allow for detailed studies of jet energy-loss mechanisms and nuclear medium effects. The analysis presented here can be used for precision studies of QCD and as a probe of nuclear dynamics using data collected at HERA and in proposed future electron-ion colliders such as the EIC and the LHeC.

37 pages, 9 figures, published version

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Cited by in corpus (32)

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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 groomed and ungroomed jet mass distribution for inclusive jet production at the LHC
• Single-Inclusive Production of Hadrons and Jets in Lepton-Nucleon Scattering at NLO
• Jet angularity measurements for single inclusive jet production
• Employing Helicity Amplitudes for Resummation
• Soft-drop grooming for hadronic event shapes
• Left-right spin asymmetry in $\ell N^{\uparrow }\to hX$
• The Fully-Differential Quark Beam Function at NNLO
• Inclusive jet production as a probe of polarized PDFs at a future EIC
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• The Fully-Differential Gluon Beam Function at NNLO
• Angularity in DIS at next-to-next-to-leading log accuracy
• 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
• Transverse Energy-Energy Correlations of jets in the electron-proton Deep Inelastic Scattering at HERA
• From Underlying Event Sensitive To Insensitive: Factorization and Resummation
• A general method for the resummation of event-shape distributions in e^+e^- annihilation
• 1-jettiness with jet axis at $O({\alpha }_s)$ in jeep inelastic scattering
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Precision DIS thrust predictions for HERA and EIC
• Transverse Energy-Energy Correlator for Vector Boson-Tagged Hadron Production in $pp$ and $pA$ collisions
• Effective Field Theories for the LHC
• Nucleon Tomography with 0-jettiness
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics
• SCET for jet physics in the vacuum and the medium