Abstract
We study the lepton-jet correlation in deep inelastic scattering. We perform one-loop calculations for the spin averaged and transverse spin-dependent differential cross sections depending on the total transverse momentum of the final state lepton and the jet. The transverse momentum dependent factorization formalism is applied to describe the relevant observables. To show the physics reach of this process, we perform a phenomenological study for HERA kinematics and comment on an ongoing analysis of experimental data. In addition, we highlight the potential of this process to constrain small-$x$ dynamics.
Highlights
In a recent paper [1], we have proposed the lepton-jet correlation in deep inelastic scattering (DIS) at the planned Electron-Ion Collider (EIC) [2,3,4] as a unique probe to explore the structure of nucleons/nuclei
We provide a detailed derivation of the formalism and perform a phenomenological study relevant for the existing jet production data in DIS from HERA [5,6,7], which have been reanalyzed recently to study the lepton-jet correlation [8]
In the correlation limit that the imbalance transverse momentum q⊥ 1⁄4 jk⃗ l⊥ þ P⃗ J⊥j is much smaller than the lepton transverse momentum, we can factorize the differential cross section in terms of the transverse momentum dependent (TMD) quark distribution [14,15,16,17,18,19,20] and the soft factor associated with the final state jet
Summary
In a recent paper [1], we have proposed the lepton-jet correlation in deep inelastic scattering (DIS) at the planned Electron-Ion Collider (EIC) [2,3,4] as a unique probe to explore the structure of nucleons/nuclei. In the correlation limit that the imbalance transverse momentum q⊥ 1⁄4 jk⃗ l⊥ þ P⃗ J⊥j is much smaller than the lepton (and jet) transverse momentum, we can factorize the differential cross section in terms of the transverse momentum dependent (TMD) quark distribution [14,15,16,17,18,19,20] and the soft factor associated with the final state jet This factorization is similar to that for the semi-inclusive hadron production in DIS (SIDIS) [21,22,23], where a final state TMD fragmentation will contribute as well.
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