Twist-4 contributions to semi-inclusive deeply inelastic scatterings with polarized beam and target

Abstract

We present for the first time the complete twist-4 result for the semi-inclusive deeply inelastic scattering $e^{-}N\to e^{-}qX$ with polarized electron and proton beams at the tree level of pQCD. The calculations have been carried out using the formulism obtained after collinear expansion where the multiple gluon scattering are taken into account and gauge links are obtained automatically in a systematical way. The results show in particular that there are twist-4 contributions to all the eight twist-2 structure functions for $e^{-}N\to e^{-}hX$ that correspond to the eight twist-2 transverse momentum dependent parton distribution functions. Such higher twist effects could be very significant and therefore have important impacts on extracting these three-dimensional parton distribution functions from the asymmetry data on $e^{-}N\to e^{-}hX$. We suggest also an approximate way for a rough estimation of such higher twist contributions.

5 pages

References in corpus (8)

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• Measurement of Single and Double Spin Asymmetries in Deep Inelastic Pion Electroproduction with a Longitudinally Polarized Target
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• Tensor polarization dependent fragmentation functions and e+e-\to V πX at high energies
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• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Parity violating semi-inclusive deeply inelastic scattering at the Electron-Ion Collider
• Gauge invariance and kaon production in deep inelastic scattering at low scales
• Charged current semi-inclusive deeply inelastic scattering at the Electron-Ion Collider
• Intrinsic asymmetries in semi-inclusive deeply inelastic scattering at the Electron-Ion Collider
• Twist-3 Contributions in Semi-Inclusive DIS in the Target Fragmentation Region
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• TMD Relations: Insights from a Light-Front Quark-Diquark Model
• Semi-inclusive deeply inelastic neutrino and antineutrino nucleus scattering
• Polarized vector meson production in semi-inclusive DIS
• QCD analysis of non-singlet structure functions at NNLO accuracy, based on the Laplace transform
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• The cos${\varphi }_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model
• Transverse momentum asymmetry in the semi-inclusive electron positron annihilation process