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Effects of threshold resummation for large-x PDF in large momentum effective theory
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Effects of threshold resummation for large-x PDF in large momentum effective theory
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Journal Article
Effects of threshold resummation for large-x PDF in large momentum effective theory
2025
Overview
Parton distribution functions (PDFs) at large x are challenging to extract from experimental data, yet they are essential for understanding hadron structure and searching for new physics beyond the Standard Model. Within the framework of the large momentum Pz expansion of lattice quasi-PDFs, we investigate large x PDFs, where the matching coefficient is factorized into the hard kernel, related to the active quark momentum xPz, and the threshold soft function, associated with the spectator momentum (1 − x)Pz. The renormalization group equation of the soft function enables the resummation of the threshold double logarithms αk ln2k(1 − x), which is crucial for a reliable and controllable calculation of large x PDFs. Our analysis with pion valence PDFs indicates that perturbative matching breaks down when the spectator momentum (1 − x)Pz approaches ΛQCD, but remains valid when both xPz and (1 − x)Pz are much larger than ΛQCD. Additionally, we incorporate leading renormalon resummation within the threshold framework, demonstrating good perturbative convergence in the region where both spectator and active quark momenta are perturbative scales.
Publisher
Springer Science and Business Media LLC
Subject
