High-energy evolution in planar QCD to three loops: the non-conformal contribution
A bstract 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 non-conformal 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.
Authors
- Mathieu Giroux (ORCID: https://orcid.org/0000-0002-2672-634X)
- Giacomo Brunello (ORCID: https://orcid.org/0009-0004-4788-738X)
- Simon Caron-Huot (ORCID: https://orcid.org/0000-0002-7005-9652)
- S. H. Smith (ORCID: https://orcid.org/0009-0007-7799-0136)
- Giulio Crisanti (ORCID: https://orcid.org/0009-0009-3053-2394)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Padua (IT)
- Scuola Normale Superiore (IT)
- Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
- Université Paris-Saclay (FR)
- Istituto Nazionale di Fisica Nucleare, Sezione di Padova (IT)
- CEA Paris-Saclay (FR)
- Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
- Institut de Physique Théorique (FR)
- McGill University (CA)
- University of Edinburgh (GB)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-11-12
- DOI
- https://doi.org/10.1007/jhep11(2025)055
- Primary Topic
- High-Energy Particle Collisions Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00