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Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target

Jing Zhao, Alessandro Bacchetta, Shunzo Kumano, Tianbo Liu, Ya-jin Zhou

Abstract

We investigate the semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target, focusing on the production of an unpolarized hadron. The complete differential cross section is expressed in terms of 23 structure functions, which depend on the spin states of the target and the azimuthal modulations of the final-state hadron. Within the transverse momentum dependent (TMD) factorization framework, we derive the hadronic tensor using quark-quark correlators and quark-gluon-quark correlators up to twist-3. At tree-level, 21 nonvanishing structure functions are obtained at the leading and subleading twist, expressed as convolutions of TMD parton distribution functions and TMD fragmentation functions. The measurement of these nonzero structure functions can be utilized to explore the tensor-polarized structure of spin-1 particles, offering insights into their internal dynamics.

Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target

Abstract

We investigate the semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target, focusing on the production of an unpolarized hadron. The complete differential cross section is expressed in terms of 23 structure functions, which depend on the spin states of the target and the azimuthal modulations of the final-state hadron. Within the transverse momentum dependent (TMD) factorization framework, we derive the hadronic tensor using quark-quark correlators and quark-gluon-quark correlators up to twist-3. At tree-level, 21 nonvanishing structure functions are obtained at the leading and subleading twist, expressed as convolutions of TMD parton distribution functions and TMD fragmentation functions. The measurement of these nonzero structure functions can be utilized to explore the tensor-polarized structure of spin-1 particles, offering insights into their internal dynamics.

Paper Structure

This paper contains 10 sections, 82 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Kinematics and spin states
  3. Cross section in terms of structure functions
  4. Structure functions in terms of partonic functions
  5. Hadronic tensor up to subleading order in $1/Q$
  6. Quark-quark correlators
  7. Quark-gluon-quark correlators
  8. Results for structure functions
  9. Summary
  10. Hadronic tensor in terms of partonic functions

Figures (2)

  • Figure 1: The SIDIS kinematic variables in Trento conventions.
  • Figure 2: Illustration of the hadronic tensor in the $1/Q$ expansion for SIDIS.