Title: Factorization and perturbative QCD in the era of Electron-Ion Collider

Abstract: The future Electron-Ion Collider (EIC) at the Brookhaven National Laboratory is a uniquely capable machine which is designed to address some of the most profound questions about the properties of nuclear matter. To unravel the rich structure of hadrons, the EIC will provide precision imaging of a strongly bounded many-body parton system inside the hadrons. The dynamics of this system give rise to such fundamental properties of the hadron as spin and mass. The strong QCD (Quantum Chromodynamics) medium inside the hadron can be probed in the high-energy scattering experiments within the QCD factorization approach through a subtle interplay between its perturbative and non-perturbative components. I will demonstrate that for many observables at EIC, such as the search of the saturation, three-dimensional imaging of the hadron, the chiral anomaly effects etc., an adequate description of this interplay requires development of novel methods and calculation techniques. I will introduce a general framework for such techniques which is based on application of the background field method. I will show how implementation of such methods allows us to systematically understand the properties of the dense QCD medium inside the hadron and put the light on the origin of its most fundamental properties.