Next-to-Next-to-Leading Order QCD Corrections to Polarized Semi-Inclusive Deep-Inelastic Scattering

Abstract

Polarized semi-inclusive deep-inelastic scattering (SIDIS) is a key process in the quest for a resolution of the proton spin puzzle. We present the complete results for the polarized SIDIS process at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics. Our analytical results include all partonic channels for the scattering of polarized leptons off hadrons and a spin-averaged hadron identified in the final state. A numerical analysis of the NNLO corrections illustrates their significance and the reduced residual scale dependence in the kinematic range probed by the future Electron-Ion-Collider EIC.

arXiv comment6 pages, 3 figures; ancillary files updated;

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• Polarized semi-inclusive deep-inelastic scattering at NNLO in QCD
• NNLO QCD corrections to unpolarized and polarized SIDIS
• Neutral and Charged Current Semi-Inclusive Deep-Inelastic Scattering at NNLO QCD
• Single-inclusive hadron production in electron-positron annihilation at next-to-next-to-next-to-leading order in QCD
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• Identified Hadron Production at Hadron Colliders in Next-to-Next-to-Leading-Order QCD
• Identified Hadron Production in Deeply Inelastic Neutrino-Nucleon Scattering
• Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order
• The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
• Polarized tau decay and CP violation in ultraperipheral heavy-ion collisions