Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron
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| Format: | Preprint |
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2024
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| _version_ | 1866916661407252480 |
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| author | Qiao, Si-Yi Song, Qin-Tao |
| author_facet | Qiao, Si-Yi Song, Qin-Tao |
| contents | The tensor-polarized structures of the deuteron can be probed through the proton-deuteron Drell-Yan process, where the proton is unpolarized and the deuteron is tensor polarized. This measurement will be conducted at Fermilab in the near future. In this reaction, the twist-3 contribution is not negligible compared to the twist-2 contribution due to the limited invariant mass of the dilepton pair. We calculate the twist-3 contribution for the Drell-Yan cross section with a tensor-polarized deuteron target, preserving the U(1)-gauge invariance of the hadronic tensor. The cross sections and weighted cross sections are expressed in terms of the tensor-polarized parton distribution functions (PDFs), thus one can extract the PDFs $f_{1\scriptscriptstyle{LL}}$, $f_{\scriptscriptstyle{LT}}$, and $f^{(1)}_{\scriptscriptstyle{1LT}}$ from the experimental measurements of Drell-Yan process. Our study should be helpful to solve the puzzle in the tensor-polarized structures of the deuteron. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_13225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron Qiao, Si-Yi Song, Qin-Tao High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory The tensor-polarized structures of the deuteron can be probed through the proton-deuteron Drell-Yan process, where the proton is unpolarized and the deuteron is tensor polarized. This measurement will be conducted at Fermilab in the near future. In this reaction, the twist-3 contribution is not negligible compared to the twist-2 contribution due to the limited invariant mass of the dilepton pair. We calculate the twist-3 contribution for the Drell-Yan cross section with a tensor-polarized deuteron target, preserving the U(1)-gauge invariance of the hadronic tensor. The cross sections and weighted cross sections are expressed in terms of the tensor-polarized parton distribution functions (PDFs), thus one can extract the PDFs $f_{1\scriptscriptstyle{LL}}$, $f_{\scriptscriptstyle{LT}}$, and $f^{(1)}_{\scriptscriptstyle{1LT}}$ from the experimental measurements of Drell-Yan process. Our study should be helpful to solve the puzzle in the tensor-polarized structures of the deuteron. |
| title | Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2410.13225 |