Speaker
Description
Renormalization group equations (RGEs) are essential for understanding scale dependence in QCD. While the DGLAP equations form the cornerstone of collider physics, modern studies of jet substructure and energy flow correlations demand a framework that extends beyond the standard DGLAP paradigm. We analytically derive a general RGE for collinear dynamics that incorporates correlations in fragmentation at next-to-leading order, with an approach extendable to higher orders. Connections to the evolution of single- and multi-hadron fragmentation functions are established, and a numerical implementation of the nonlinear evolution equation is developed. Applying this framework, we achieve the collinear NNLL resummation for energy-energy correlations of charged hadrons, providing precise predictions crucial for interpreting recent and future experimental measurements at colliders.
