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Master formula for the three-gluon contribution to single spin asymmetry in semi-inclusive deep inelastic scattering

Yuji Koike1, Kazuhiro Tanaka2, and Shinsuke Yoshida3

  • 1Department of Physics, Niigata University, Ikarashi, Niigata 950-2181, Japan
  • 2Department of Physics, Juntendo University, Inzai, Chiba 270-1695, Japan
  • 3Graduate School of Science and Technology, Niigata University, Ikarashi, Niigata 950-2181, Japan

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Phys. Rev. D 83, 114014 – Published 6 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.114014

Abstract

We derive a “master formula” for the contribution of the three-gluon correlation function in the nucleon to the twist-3 single-spin-dependent cross section for semi-inclusive deep-inelastic scattering, ep↑→eDX. This is an extension of the similar formula known for the so-called soft-gluon-pole contribution induced by the quark-gluon correlation function in a variety of processes. Our master formula reduces the relevant interfering partonic subprocess with the participation of the three gluons to the Born cross sections for the γ*g→cc¯ scattering, which reveals the new structure behind the twist-3 single spin asymmetry and simplifies the actual calculation greatly. A possible extension to higher order corrections is also discussed.

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Phys. Rev. D 83, 114014– Published 6 June, 2011
  • Received 5 April 2011

© 2011 American Physical Society

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