Threshold resummation for computing large-\(x\) Parton distribution through large-momentum effective theory
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Publication:6050334
DOI10.1007/JHEP08(2023)037arXiv2305.04416OpenAlexW4385703542MaRDI QIDQ6050334
Author name not available (Why is that?)
Publication date: 12 October 2023
Published in: (Search for Journal in Brave)
Abstract: Parton distribution functions (PDFs) at large are poorly constrained by high-energy experimental data, but extremely important for probing physics beyond standard model at colliders. We study the calculation of PDFs at large- through large-momentum expansion of the lattice quasi PDFs. Similar to deep-inelastic scattering, there are two distinct perturbative scales in the threshold limit where the matching coefficient can be factorized into a space-like jet function at scale and a pair of heavy-light Sudakov form factors at scale . The matching formula allows us to derive a full renormalization group resummation of large threshold logarithms, and the result is consistent with the known calculation to the next-to-next to leading order (NNLO). This paves the way for direct large- PDFs calculations in lattice QCD. As by-products, we find that the space-like jet function is related to a time-like version calculated previously through analytic continuation, and the heavy-light Sudakov form factor, calculated here to NNLO, is a universal object appearing as well in the large momentum expansion of quasi transverse-momentum-dependent PDFs and quasi wave-function amplitudes.
Full work available at URL: https://arxiv.org/abs/2305.04416
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