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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: | March 7, 2022 |
Date submitted: | Aug. 3, 2021, 10:40 a.m. |
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 |
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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
This paper meets the requirements to be published in this journal. I recommend publication without further comments.