Speaker
Description
In this talk, I discuss the resummation of leading logarithmic contributions to the collinear matching coefficients of Transverse Momentum Dependent distributions (TMDs) in the large-$x$ regime. Resummation is performed directly at the level of TMDs, preserving their process-independence and, for the first time, covering distributions that match onto twist‑three collinear Parton Distribution Functions (PDFs). I will present general resummation formulas valid for all leading power functions, including TMDPDFs and TMDFFs, except the pretzelosity distribution, which is associated with a twist-four operator. Additionally, I demonstrate that the resummation accuracy can reach N$^3$LL, surpassing some of the current fixed-order results for several TMDs. The application of these formulas improves perturbative convergence, helps estimate unknown higher‑order terms, and constrains non‑perturbative model inputs, thereby providing a robust framework for phenomenology of the different TMD processes.
