N-Jettiness as a probe of nuclear dynamics

Abstract

We propose the use of N-jettiness (τ_N), a global event shape variable, as a probe of nuclear dynamics in lepton-nucleus collisions. It characterizes the amount of soft radiation between the jet and nuclear beam directions. We write down the factorization for the 1-jettiness (${\tau }_1$) distribution for the production of a single hard jet (J) in lepton-nucleus collisions: \ell+A(P) \to J(P_{J})+X. Each nuclear target gives rise to a unique pattern radiation, determined by nuclear dynamics, that can be quantified by the τ_1-distribution. Up to power corrections, the τ_1-distribution allows for a direct measurement of the nuclear PDFs. Additional nuclear-dependent effects will be dominated through power corrections of size $\sim Q_s^2(A)/(P_{JT}{\tau }_1)$ where $Q_s(A)$ is a dynamical scale sensitive to nuclear medium effects. Such nuclear-dependent effects and the dependence of Q_s(A) on the nuclear atomic number $A$ can be probed through a dedicated program of precision measurements of τ_1-distributions for various nuclei and kinematics. We give numerical results for the 1-jettiness distribution for the simplest case of a proton target at next-to-leading-log accuracy.

5 pages, 2 figures, text modified for better clarity, to appear in Phys. Rev. D

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• The spin-dependent quark beam function at NNLO
• 1-jettiness with jet axis at $O({\alpha }_s)$ in jeep inelastic scattering
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• 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
• Effective Field Theory Factorization for Diffraction
• Nucleon Tomography with 0-jettiness
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics