Anti-collinear resummation in JIMWLK evolution in the linear regime
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912802590949376 |
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| author | Kovner, Alex Lublinsky, Michael Nefedov, Maxim Skokov, Vladimir |
| author_facet | Kovner, Alex Lublinsky, Michael Nefedov, Maxim Skokov, Vladimir |
| contents | The recently-proposed resummation procedure for anti-collinear logarithms in the JIMWLK kernel~\cite{Kovner:2023vsy} is studied in the linear (BFKL) regime in the fixed-coupling approximation. Simple closed form expressions for the resummed momentum space kernel and characteristic function $χ(n,γ)$ are found. We find that the anti-collinear pole in the leading order characteristic function at $γ=1$ disappears, and instead $χ(γ=1)=\frac{12}{11}\fracπ{α_sN_c}$ for $n_F=0$. Comparison with the known NLO BFKL eigenvalue, with the target-Bjorken limit ($Q_T\gg Q_P$) of the $γ^*(Q_P)+γ^*(Q_T)$-scattering amplitude and with the ``all-poles'' resummation prescription are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02131 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anti-collinear resummation in JIMWLK evolution in the linear regime Kovner, Alex Lublinsky, Michael Nefedov, Maxim Skokov, Vladimir High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory The recently-proposed resummation procedure for anti-collinear logarithms in the JIMWLK kernel~\cite{Kovner:2023vsy} is studied in the linear (BFKL) regime in the fixed-coupling approximation. Simple closed form expressions for the resummed momentum space kernel and characteristic function $χ(n,γ)$ are found. We find that the anti-collinear pole in the leading order characteristic function at $γ=1$ disappears, and instead $χ(γ=1)=\frac{12}{11}\fracπ{α_sN_c}$ for $n_F=0$. Comparison with the known NLO BFKL eigenvalue, with the target-Bjorken limit ($Q_T\gg Q_P$) of the $γ^*(Q_P)+γ^*(Q_T)$-scattering amplitude and with the ``all-poles'' resummation prescription are presented. |
| title | Anti-collinear resummation in JIMWLK evolution in the linear regime |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2601.02131 |