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arXiv · 1012.4179

Twist-4 contributions to the azimuthal asymmetry in SIDIS

Yu-kun Song·Jian-hua Gao·Zuo-tang Liang·Xin-Nian Wang
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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 $ $. 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 $ $ by using a Gaussian ansatz for the TMD parton matrix elements.

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Yu-kun Song, Jian-hua Gao, Zuo-tang Liang, Xin-Nian Wang. 2010-12-19. Twist-4 contributions to the azimuthal asymmetry in SIDIS. https://doi.org/10.1103/physrevd.83.054010

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