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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.08643 |
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| _version_ | 1866909201914134528 |
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| author | Hekhorn, Felix |
| author_facet | Hekhorn, Felix |
| contents | We discuss the positivity of parton distribution functions using the common $\overline{MS}$ factorization scheme. We find that in the perturbative regime $\overline{MS}$ PDFs inherit the strict positivity of physical PDFs. We explicitly discuss the scheme transformation by using suitable physical observables and find that $\overline{MS}$ PDFs are positive above the scale $Q^2$ > 5 GeV^2. Finally, we comment on the direct counterpart of longitudinally polarized PDFs, finding agreement with the unpolarized counterpart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08643 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the positivity of MSbar distributions Hekhorn, Felix High Energy Physics - Phenomenology We discuss the positivity of parton distribution functions using the common $\overline{MS}$ factorization scheme. We find that in the perturbative regime $\overline{MS}$ PDFs inherit the strict positivity of physical PDFs. We explicitly discuss the scheme transformation by using suitable physical observables and find that $\overline{MS}$ PDFs are positive above the scale $Q^2$ > 5 GeV^2. Finally, we comment on the direct counterpart of longitudinally polarized PDFs, finding agreement with the unpolarized counterpart. |
| title | On the positivity of MSbar distributions |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.08643 |