High-energy evolution to three loops in QCD [FOR Virtual Seminar, Exceptional Time]

by Mathieu Giroux (McGill)

Wednesday 19 Nov 2025, 13:30 → 15:30 Europe/Berlin

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 this growth. Motivated by the upcoming precision era at the Electron-Ion Collider (EIC)--whose extended kinematic reach promises decisive tests of saturation--we present a framework based on the timelike-spacelike correspondence that streamlines the computation of multiloop corrections to the BK equation. We predict the full nonconformal part of the NNLO BK Hamiltonian in the planar limit of a generic gauge theory, treating the numbers of fermions and scalars as free parameters. As a byproduct of this three‑loop computation, we introduce novel Feynman‑calculus techniques for the explicit evaluation of dimensionally regulated Fourier transforms.