Twist-4 contributions to the azimuthal asymmetry in SIDIS

Abstract

We calculate the differential cross section for the unpolarized semi-inclusive deeply inelastic scattering (SIDIS) process $e^{-}+N\to e^{-}+q+X$ in leading order (LO) of perturbative QCD and up to twist-4 in power corrections and study in particular the azimuthal asymmetry $<cos2\varphi >$. The final results are expressed in terms of transverse momentum dependent (TMD) parton matrix elements of the target nucleon up to twist-4. %Under the maximal two-gluon correlation approximation, these TMD parton matrix elements in a nucleus %can be expressed terms of a Gaussian convolution of that in a nucleon with the width given by the jet transport %parameter inside cold nuclei. We also apply it to $e^{-}+A\to e^{-}+q+X$ and illustrate numerically the nuclear dependence of the azimuthal asymmetry $<cos2\varphi >$ by using a Gaussian ansatz for the TMD parton matrix elements.

9 pages, afigure

References in corpus (3)

• Semi-Inclusive Deep Inelastic Scattering processes from small to large P_T
• The Transverse-momentum-dependent Parton Distribution Function and Jet Transport in Medium
• Azimuthal and single spin asymmetry in deep-inelastic lepton-nucleon scattering

Cited by in corpus (10)

• Leading and higher twist contributions in semi-inclusive e+e- annihilation at high energies
• Single-spin asymmetries at two loops
• Twist-4 contributions to semi-inclusive $e^{+}{e}^{-}$-annihilation process
• Charged current semi-inclusive deeply inelastic scattering at the Electron-Ion Collider
• Double Spin Asymmetries $A_{LT}^{\cos {\varphi }_S}$ and $A_{LT}^{\cos (2{\varphi }_h-{\varphi }_S)}$ in semi-inclusive DIS
• 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
• Polarized vector meson production in semi-inclusive DIS
• Higher-twist contributions to the transverse momentum broadening in semi-inclusive deep inelastic scattering off large nuclei
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model