A Better Angle on Hadron Transverse Momentum Distributions at the EIC

Abstract

We propose an observable $q_{\ast }$ sensitive to transverse momentum dependence (TMD) in $eN\to ehX$, with $q_{\ast }/E_N$ defined purely by lab-frame angles. In 3D measurements of confinement and hadronization this resolves the crippling issue of accurately reconstructing small transverse momentum $P_{hT}$. We prove factorization for $\mathrm{d}{\sigma }_h/\mathrm{d}{q}_{\ast }$ for $q_{\ast }\ll Q$ with standard TMD functions, enabling $q_{\ast }$ to substitute for $P_{hT}$. A double-angle reconstruction method is given which is exact to all orders in QCD for $q_{\ast }\ll Q$. $q_{\ast }$ enables an order-of-magnitude improvement in the expected experimental resolution at the EIC.

arXiv comment5 pages + 4 figures, 9 pages of supplemental material

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• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
• Precision three-dimensional imaging of nuclei using recoil-free jets
• Transverse Energy-Energy Correlator for Vector Boson-Tagged Hadron Production in $pp$ and $pA$ collisions