Sivers Effect in Dihadron Semi-Inclusive Deep Inelastic Scattering

Abstract

The Sivers effect describes the correlation of the unpolarized parton's transverse momentum with the transverse spin of the nucleon. It manifests as a sine modulation of the cross section for single hadron semi-inclusive deep inelastic scattering (SIDIS) on a transversely polarized nucleon with the azimuthal angle between the produced hadron's transverse momentum and the nucleon spin (${\phi }_h$ and ${\phi }_S$, respectively). It has been recently suggested that the Sivers effect can also be measured in two hadron SIDIS process as sine modulations involving the azimuthal angles ${\phi }_T$ and ${\phi }_R$ of both the total and the relative transverse momenta of the hadron pair. Here we present the detailed derivation of the two hadron SIDIS cross section using simple parton-model inspired functional forms for both the parton distribution and the fragmentation functions. We show explicitly that the terms corresponding to the $\sin ({\phi }_R-{\phi }_S)$ and $\sin ({\phi }_T-{\phi }_S)$ modulations are non-zero. Further, we derive the cross section expressions for single hadron production in the two hadron sample. Finally, we employ a modified version of the $\mathtt{LEPTO}$ Monte Carlo event generator that includes the Sivers effect to estimate the size of single spin asymmetries corresponding to these modulations independent of the formalism developed.

arXiv comment16 pages, 9 figures; updated to version published in PRD, Sec. IIC was added and the Appendices were reduced

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Cited by in corpus (6)

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• Di-hadron fragmentation and mapping of the nucleon structure
• Predictions for Sivers single spin asymmetries in one- and two-hadron electroproduction at CLAS12 and EIC
• Quark-Jet model for transverse momentum dependent fragmentation functions
• Monte Carlo Implementation of Polarized Hadronization
• Azimuthal Correlations in the Structure Functions of polarized Dihadron Semi-Inclusive Deep Inelastic Scattering