Tensor-polarized twist-3 distribution function fLT of spin-1 deuteron
Abstract
We investigate the twist-2 and twist-3 tensor-polarized partonic structures of the spin-1 deuteron. Using the operator product expansion with local operators, we derive a Wandzura-Wilczek (WW)-like twist-2 relation between the tensor-polarized twist-2 quark distribution f1LL and the twist-3 distribution fLT, together with a Burkhardt-Cottingham (BC)-like sum rule. The local-operator formalism makes the Lorentz structure and rotational invariance manifest and provides useful constraints on the twist-3 sector. We then use a phenomenological parametrization of the twist-2 distribution f1LL(x), constrained by HERMES data on the deuteron structure function b1 at Q2=2.5 GeV2, to quantitatively estimate the twist-3 distribution fLT(x) within the WW approximation. The resulting fLT(x) has a shape and magnitude comparable to those of f1LL(x), indicating that subleading-twist effects may be relevant for future experiments at relatively low Q2. In this contribution, we summarize the theoretical derivation of the WW-like relation and BC-like sum rule and present a phenomenological estimate of the tensor-polarized twist-3 quark distribution fLT in the deuteron.
Related
- Tensor-polarized gluon distribution \texorpdfstring{h1TTg}{h1TTg} in the deuteron: QCD evolution and Drell-Yan phenomenology
- Tensor-polarized parton distribution functions of the deuteron by a convolution model
- Obtaining tensor-polarized nuclei with spin S≥1 via spin filtering upon nuclear beam transmission through an unpolarized target (spin dichroism effect)
- Higher-twist hadronic tensor in deep inelastic scattering with massive quarks
- Extraction of genuine twist-3 distribution from data
BibTeX
@misc{kumano2026tensorpolarized,
title = {{Tensor-polarized twist-3 distribution function $f_LT$ of spin-1 deuteron}},
author = {S. Kumano and Kenshi Kuroki},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12334},
eprint = {2609.12334},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12334},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Tensor-polarized twist-3 distribution function f_LT of spin-1 deuteron
AU - S. Kumano
AU - Kenshi Kuroki
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12334
UR - https://arxiv.org/abs/2609.12334
AB - We investigate the twist-2 and twist-3 tensor-polarized partonic structures of the spin-1 deuteron. Using the operator product expansion with local operators, we derive a Wandzura-Wilczek (WW)-like twist-2 relation between the tensor-polarized twist-2 quark distribution f_1LL and the twist-3 distribution f_LT, together with a Burkhardt-Cottingham (BC)-like sum rule. The local-operator formalism makes the Lorentz structure and rotational invariance manifest and provides useful constraints on the twist-3 sector. We then use a phenomenological parametrization of the twist-2 distribution f_1LL(x), constrained by HERMES data on the deuteron structure function b_1 at Q^2=2.5 GeV^2, to quantitatively estimate the twist-3 distribution f_LT(x) within the WW approximation. The resulting f_LT(x) has a shape and magnitude comparable to those of f_1LL(x), indicating that subleading-twist effects may be relevant for future experiments at relatively low Q^2. In this contribution, we summarize the theoretical derivation of the WW-like relation and BC-like sum rule and present a phenomenological estimate of the tensor-polarized twist-3 quark distribution f_LT in the deuteron.
ER -