High-energy evolution in planar QCD to three loops: the non-conformal contribution
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866917179392262144 |
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| author | Brunello, Giacomo Caron-Huot, Simon Crisanti, Giulio Giroux, Mathieu Smith, Sid |
| author_facet | Brunello, Giacomo Caron-Huot, Simon Crisanti, Giulio Giroux, Mathieu Smith, Sid |
| contents | The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventually tame it. Motivated by the upcoming Electron-Ion Collider (EIC), whose extended kinematic reach promises more decisive tests of saturation at high energies, we present a framework based on the spacelike-timelike correspondence that streamlines the computation of multi-loop corrections to the BK equation. We explicitly verify the correspondence at three loops in the large-flavor limit and predict the full nonconformal component of the three-loop BK Hamiltonian in the planar limit of a generic gauge theory, treating the numbers of fermions and scalars as free parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03794 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | High-energy evolution in planar QCD to three loops: the non-conformal contribution Brunello, Giacomo Caron-Huot, Simon Crisanti, Giulio Giroux, Mathieu Smith, Sid High Energy Physics - Phenomenology High Energy Physics - Theory The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventually tame it. Motivated by the upcoming Electron-Ion Collider (EIC), whose extended kinematic reach promises more decisive tests of saturation at high energies, we present a framework based on the spacelike-timelike correspondence that streamlines the computation of multi-loop corrections to the BK equation. We explicitly verify the correspondence at three loops in the large-flavor limit and predict the full nonconformal component of the three-loop BK Hamiltonian in the planar limit of a generic gauge theory, treating the numbers of fermions and scalars as free parameters. |
| title | High-energy evolution in planar QCD to three loops: the non-conformal contribution |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.03794 |