Author:
Ji Xiangdong,Liu Yizhuang,Su Yushan
Abstract
Abstract
Parton distribution functions (PDFs) at large x 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-x through large-momentum Pz 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 Pz|1 − y| and a pair of heavy-light Sudakov form factors at scale Pz. 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-x 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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference105 articles.
1. J.D. Bjorken, Asymptotic Sum Rules at Infinite Momentum, Phys. Rev. 179 (1969) 1547 [INSPIRE].
2. ATLAS collaboration, Determination of the parton distribution functions of the proton using diverse ATLAS data from pp collisions at $$ \sqrt{s} $$ = 7, 8 and 13 TeV, Eur. Phys. J. C 82 (2022) 438 [arXiv:2112.11266] [INSPIRE].
3. NNPDF collaboration, The path to proton structure at 1% accuracy, Eur. Phys. J. C 82 (2022) 428 [arXiv:2109.02653] [INSPIRE].
4. S. Bailey et al., Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs, Eur. Phys. J. C 81 (2021) 341 [arXiv:2012.04684] [INSPIRE].
5. T.-J. Hou et al., New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC, Phys. Rev. D 103 (2021) 014013 [arXiv:1912.10053] [INSPIRE].
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献