Higher-twist hadronic tensor in deep inelastic scattering with massive quarks
Abstract
In this paper, we calculate the inclusive deep inelastic scattering (DIS) with finite quark masses up to twist-4 accuracy based on collinear expansion method. The collinear expansion method not only naturally leads to gauge-invariant correlation functions and parton distribution functions, but also yields a remarkably compact expression for the hadronic tensor. The resulting hadronic tensor can be organized according to the corresponding power behavior in 1/Q. In particular, the explicit quark-mass dependence gives rise to additional power-suppressed contributions and the ratio m/Q can be counted as a twist-3 contribution in the power expansion. As an application, we further investigate the role of transversity in inclusive DIS with a transversely polarized target. We find that the transversity distribution appears explicitly in the quark-quark correlation function and gives rise to a contribution proportional to m h1T/Q. However, this contribution is exactly cancelled in the hadronic tensor by the one arising from the corresponding quark-gluon-quark correlation function. This cancellation shows that, within the one-photon-exchange approximation, the mass-induced transversity term cancels in the complete twist-3 hadronic tensor, and no net transversity contribution remains at twist-3 accuracy in inclusive DIS. We complement this analytical study with numerical estimates of the gT-related twist-3 asymmetry, comparing predictions with and without the mass-dependent x→χ rescaling at the same measured x. The results show that these kinematic mass effects become more important at lower Q2 and larger x.
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BibTeX
@misc{yang2026highertwist,
title = {{Higher-twist hadronic tensor in deep inelastic scattering with massive quarks}},
author = {W. Yang and Y. Yang and X. Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32387},
eprint = {2610.32387},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32387},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Higher-twist hadronic tensor in deep inelastic scattering with massive quarks
AU - W. Yang
AU - Y. Yang
AU - X. Wang
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32387
UR - https://arxiv.org/abs/2610.32387
AB - In this paper, we calculate the inclusive deep inelastic scattering (DIS) with finite quark masses up to twist-4 accuracy based on collinear expansion method. The collinear expansion method not only naturally leads to gauge-invariant correlation functions and parton distribution functions, but also yields a remarkably compact expression for the hadronic tensor. The resulting hadronic tensor can be organized according to the corresponding power behavior in 1/Q. In particular, the explicit quark-mass dependence gives rise to additional power-suppressed contributions and the ratio m/Q can be counted as a twist-3 contribution in the power expansion. As an application, we further investigate the role of transversity in inclusive DIS with a transversely polarized target. We find that the transversity distribution appears explicitly in the quark-quark correlation function and gives rise to a contribution proportional to m h_1T/Q. However, this contribution is exactly cancelled in the hadronic tensor by the one arising from the corresponding quark-gluon-quark correlation function. This cancellation shows that, within the one-photon-exchange approximation, the mass-induced transversity term cancels in the complete twist-3 hadronic tensor, and no net transversity contribution remains at twist-3 accuracy in inclusive DIS. We complement this analytical study with numerical estimates of the g_T-related twist-3 asymmetry, comparing predictions with and without the mass-dependent x→χ rescaling at the same measured x. The results show that these kinematic mass effects become more important at lower Q^2 and larger x.
ER -