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.

arXiv comment9 pages, afigure

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Cited by in corpus (28)

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• Higher twist contribution to fragmentation function in inclusive hadron production in e^+e^- annihilation
• Single-spin asymmetries at two loops
• Transverse momentum broadening in semi-inclusive deep inelastic scattering at next-to-leading order
• Longitudinal and transverse polarizations of $\Lambda$ hyperon in unpolarized SIDIS and $e^{+}{e}^{-}$ annihilation
• Twist-4 contributions to semi-inclusive $e^{+}{e}^{-}$-annihilation process
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• 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
• On the process dependent nuclear $k_{\perp }$ broadening effect
• 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
• Double Spin Asymmetries $A_{LT}^{\cos {\varphi }_S}$ and $A_{LT}^{\cos (2{\varphi }_h-{\varphi }_S)}$ in semi-inclusive DIS
• Twist-3 Contributions in Semi-Inclusive DIS in the Target Fragmentation Region
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Azimuthal asymmetry in SIDIS off nuclei as probe for $\hat{q}$
• Semi-inclusive deeply inelastic neutrino and antineutrino nucleus scattering
• Three dimensional imaging of the nucleon --- TMD (theory and phenomenology)
• Nuclear dependences of azimuthal asymmetries in the Drell-Yan process
• Polarized vector meson production in semi-inclusive DIS
• Parity-odd Parton Distribution Functions from $\theta$-Vacuum
• Higher-twist contributions to the transverse momentum broadening in semi-inclusive deep inelastic scattering off large nuclei
• 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
• Higher twist effects in $e^{+}{e}^{-}$ annihilation at high energies