Abstract
We propose the lepton-jet correlation in deep inelastic scattering as a unique tool for the tomography of nucleons and nuclei at the electron-ion collider (EIC). The azimuthal angular correlation between the final state lepton and jet depends on the transverse momentum dependent quark distributions. We take the example of single transverse spin asymmetries to show the sensitivity to the quark Sivers function. When the correlation is studied in lepton-nucleus collisions, transverse momentum broadening effects can be used to explore cold nuclear matter effects. These features make lepton-jet correlations an important new hard probe at the EIC.
Highlights
We propose the lepton-jet correlation in deep inelastic scattering as a unique tool for the tomography of nucleons and nuclei at the electron-ion collider (EIC)
In this Letter, we propose lepton-jet correlations as a new class of observables in deep inelastic scattering (DIS)
We find that the nonglobal logarithms (NGLs) contribution is very small for most of the kinematic range considered here except for Δφ ∼ 0, where it yields a suppression of about 5%
Summary
The azimuthal angular correlation between the final state lepton and jet depends on the transverse momentum dependent quark distributions. Fq represents the TMD quark distribution, SJ is the soft function associated with the final state jet which implicitly depends on the jet radius R, and HTMD is the hard factor.
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