Theory Seminar: Zhiquan Sun

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Speaker: Zhiquan Sun (MIT)

Title: A Better Angle on Hadron Transverse Momentum Distributions at the EIC

Abstract: We propose a novel observable $q_*$, sensitive to transverse mo- mentum dependent distributions (TMDs) in the SIDIS process $e N \to e h X$, with $q_*/E_N$ defined purely by lab-frame angles. We prove factorization for $\mathrm{d}\sigma_h / \mathrm{d}q_*$ for $q_* \ll Q$ with standard TMD functions, enabling $q_*$ to substitute for the hadron transverse momentum $P_{hT}$ . A double-angle reconstruction method is given which is exact to all orders in QCD for $q_* \ll Q$, allow- ing for angular reconstruction of $Q, x, y$. Resummation and convergence of perturbative QCD predictions for $q_{*}$ will also be discussed. By replacing measurements of $\mathrm{d}\sigma/\mathrm{d} P_{hT}\mathrm{d} \phi_h$ by $\mathrm{d}\sigma/\mathrm{d} q_*$ the prospects for precisely map- ping the 3D structure of hadronization and confinement with TMDs are bright. We show that $q_{*}$ enables an order-of-magnitude improvement in the expected experimental resolution at the EIC.