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Transverse-momentum-dependent parton distribution functions for spin-1 hadrons
by S. Kumano and Qin-Tao Song
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Submission summary
| Authors (as registered SciPost users): | Qin-Tao Song |
| Submission information | |
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| Preprint Link: | scipost_202108_00004v1 (pdf) |
| Date accepted: | 2022-03-07 |
| Date submitted: | 2021-08-03 10:40 |
| Submitted by: | Song, Qin-Tao |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We show transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions by taking the decomposition of a quark correlation function in the Lorentz-invariant way with the conditions of Hermiticity and parity invariance. We found 30 new TMDs in the tensor-polarized spin-1 hadron at twists 3 and 4 in addition to 10 TMDs at twist 2. Since time-reversal-odd terms of the collinear correlation function should vanish after integrals over the partonic transverse momentum, we obtained new sum rules for the time-reversal-odd structure functions, $\bm{\int d^2 k_T g_{LT} = \int d^2 k_T h_{LL} = \int d^2 k_T h_{3LL} =0}$, at twists 3 and 4. We also indicated that transverse-momentum-dependent fragmentation functions exist in tensor-polarized spin-1 hadrons. The TMDs can probe color degrees of freedom, so that they are valuable in providing unique opportunities for creating interdisciplinary physics fields such as gluon condensate, color Aharonov-Bohm effect, and color entanglement. We also found three new collinear PDFs at twists 3 and 4, and a twist-2 relation and a sum rule were derived in analogy to the Wandzura-Wilczek relation and the Burkhardt-Cottingham sum rule on the structure function $\bm{g_2}$.
Published as SciPost Phys. Proc. 8, 174 (2022)
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2022-2-28 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202108_00004v1, delivered 2022-02-28, doi: 10.21468/SciPost.Report.4557
Report
The paper, "Transverse-momentum-dependent parton distribution functions for spin-1 hadrons" describes the 30 new transverse-momentum-dependent parton distribution functions for tensor polarized spin-1 hadrons found by the authors. New time-reversal-odd structure function sum rules are also described in the document at twist 3 and 4. The theoretical foundation for the work presented here is solid and well described in the manuscript. The results are clearly laid out for the reader.
This paper meets the requirements to be published in this journal. I recommend publication without further comments.