Regularization Prescription for the Mixing Between Nonlocal Gluon and Quark Operators
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917226167140352 |
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| author | Ji, Yao Pang, Zhuoyi Yao, Fei Zhang, Jian-Hui |
| author_facet | Ji, Yao Pang, Zhuoyi Yao, Fei Zhang, Jian-Hui |
| contents | It is well-known that in the study of mixing between nonlocal gluon and quark bilinear operators there exists an ambiguity when relating coordinate space and momentum space results, which can be conveniently resolved through Mellin moments matching in both spaces. In this work, we show that this ambiguity is due to the lack of a proper regularization prescription of the singularity that arises when the separation between the gluon/quark fields approaches zero. We then demonstrate that dimensional regularization resolves this issue and yields consistent results in both coordinate and momentum space. This prescription is also compatible with lattice extractions of parton distributions from nonlocal operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00639 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularization Prescription for the Mixing Between Nonlocal Gluon and Quark Operators Ji, Yao Pang, Zhuoyi Yao, Fei Zhang, Jian-Hui High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Experiment Nuclear Theory It is well-known that in the study of mixing between nonlocal gluon and quark bilinear operators there exists an ambiguity when relating coordinate space and momentum space results, which can be conveniently resolved through Mellin moments matching in both spaces. In this work, we show that this ambiguity is due to the lack of a proper regularization prescription of the singularity that arises when the separation between the gluon/quark fields approaches zero. We then demonstrate that dimensional regularization resolves this issue and yields consistent results in both coordinate and momentum space. This prescription is also compatible with lattice extractions of parton distributions from nonlocal operators. |
| title | Regularization Prescription for the Mixing Between Nonlocal Gluon and Quark Operators |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2506.00639 |