New numerical tools for precision calculations with Color Glass Condensate

The Color Glass Condensate (CGC) framework is used to estimate predictions of high-energy Deep Inelastic Scattering experiments. Its main ingredient is the dipole amplitude, the quantum amplitude describing the interaction of a pair of quark and antiquark with the color field generated by the target. The Balitsky-Kovchegov (BK) evolution equation is an equation derived from perturbative Quantum Chromodynamics that allows one to evolve the dipole amplitude with collision energy, and is typically solved numerically. The initial condition, being a non-perturbative object, usually has to be modeled separately and fitted to experimental data. In view of the upcoming EIC measurements, a lot of efforts are made to improve the theoretical precision of the entire framework. In the talk, I will discuss how modern numerical methods such as automatic differentiation and logarithmic Fourier transform can be used to improve the efficiency of the BK equation solver. I will comment on how these methods can be extended to the more fundamental JIMWLK evolution equation, which describes the high-energy evolution of Wilson lines.