On Monday, May 6, at 1 p.m., Andrey Tarasov of North Carolina State University will present "A Unified Description of DGLAP, CSS and BFKL: TMD Factorization Bridging Large and Small x" via Zoom.
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Abstract: The QCD factorization approach provides the theoretical framework for a systematic analysis of a wide class of observables in high-energy scattering reactions. The various kinematic regimes of the high-energy scattering are described by different factorization schemes, each characterized by a unique structure of the partonic modes. At the same time, both from the theoretical and practical points of view, it’s important to understand how different factorization schemes are related to each other and how the transition between them is realized. For example, that is essential for describing observables in the region of moderate Bjorken-x at the future Electron-Ion Collider. In this talk I will introduce a transverse-momentum dependent (TMD) factorization scheme designed to unify large and small Bjorken-x regimes. Within the proposed scheme, I will discuss the computation of the gluon TMD operator for an unpolarized hadron at the next-to-leading order (NLO). This computation leads to a new TMD evolution, incorporating those in transverse momentum, rapidity and Bjorken-x. When matched to the collinear factorization scheme, the novel factorization faithfully reproduces the well-established DGLAP and CSS evolutions. Conversely, matching with high-energy factorization not only yields the BFKL evolution but also reveals distinctive signatures of the CSS logarithms. Capable of reconciling disparate Bjorken-x regimes and reproducing established QCD evolution equations, the development of this novel TMD factorization scheme has the potential to significantly advance our understanding of high-energy scattering and three-dimensional structure of hadrons.