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Twist-4 contributions to the azimuthal asymmetry in SIDIS
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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 $<cos2\phi>$. 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 $<cos2\phi>$ by using a Gaussian ansatz for the TMD parton matrix elements.
Forward citations
Cited by 2 Pith papers
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Twist-3 effects in fully inclusive jet production from $e^+e^-$ annihilation
Twist-3 corrections to e+e- -> hadron + inclusive jet are derived including weak interactions, yielding two azimuthal asymmetries that can expose the Collins fragmentation function at future colliders.
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Hadron production in the charged current semi-inclusive deeply inelastic scattering of $N=Z$ nuclei
The pion yield asymmetry in charged-current neutrino SIDIS of N=Z nuclei is predicted to be nearly independent of the nucleus type and sensitive to sea-quark and disfavored-fragmentation inputs.
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