Direct determination of the structure functions $F_L$, $F_S$ and $G$ from $F_2$ and $dF_2/dQ^2$ to $O(α_s^2)$
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866913106848907264 |
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| author | Boroun, G. R. Durand, Loyal Ha, Phuoc |
| author_facet | Boroun, G. R. Durand, Loyal Ha, Phuoc |
| contents | We extend the results of Lappi {\em et al.}, Eur.~Phys.~J.~C {\bf 84}, 84 (2024), to show that it is possible to obtain expressions for the longitudinal, singlet and gluon structure functions $F_L$, $F_S$ and $G$ in deep inelastic scattering directly in terms of the measured functions $F_2$ and $dF_2/\ln(Q^2)$ {\em modulo} non-singlet corrections expected to be small at very small $x$. The latter can be treated at low $x$ using existing quark distributions. Our results are presented consistently to $O(α_s^2)$, correcting and extending the mixed-order results of Lappi {\em et al.}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08940 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Direct determination of the structure functions $F_L$, $F_S$ and $G$ from $F_2$ and $dF_2/dQ^2$ to $O(α_s^2)$ Boroun, G. R. Durand, Loyal Ha, Phuoc High Energy Physics - Phenomenology We extend the results of Lappi {\em et al.}, Eur.~Phys.~J.~C {\bf 84}, 84 (2024), to show that it is possible to obtain expressions for the longitudinal, singlet and gluon structure functions $F_L$, $F_S$ and $G$ in deep inelastic scattering directly in terms of the measured functions $F_2$ and $dF_2/\ln(Q^2)$ {\em modulo} non-singlet corrections expected to be small at very small $x$. The latter can be treated at low $x$ using existing quark distributions. Our results are presented consistently to $O(α_s^2)$, correcting and extending the mixed-order results of Lappi {\em et al.}. |
| title | Direct determination of the structure functions $F_L$, $F_S$ and $G$ from $F_2$ and $dF_2/dQ^2$ to $O(α_s^2)$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.08940 |