| Article | |
| Report number | arXiv:2011.00964 ; CERN-TH-2020-181 ; DESY-20-208 |
| Title | Lattice continuum-limit study of nucleon quasi-PDFs |
| Author(s) | Alexandrou, Constantia (Cyprus U. ; Cyprus Inst.) ; Cichy, Krzysztof (Mickiewicz U., Poznan) ; Constantinou, Martha (Temple U.) ; Green, Jeremy R. (CERN) ; Hadjiyiannakou, Kyriakos (Cyprus U. ; Cyprus Inst.) ; Jansen, Karl (DESY) ; Manigrasso, Floriano (Cyprus U. ; Humboldt U., Berlin ; Rome U., Tor Vergata) ; Scapellato, Aurora (Mickiewicz U., Poznan) ; Steffens, Fernanda (Bonn U.) |
| Publication | 2021-05-18 |
| Imprint | 2020-11-02 |
| Number of pages | 24 |
| Note | 24 pages, 21 figures. v2: additional references, discussion of systematics, and position-space comparison with phenomenology. v3: applied workaround for problem affecting Greek symbols in figures with some PDF viewers |
| In: | Phys. Rev. D 103 (2021) 094512 |
| DOI | 10.1103/PhysRevD.103.094512 |
| Subject category | nucl-th ; Nuclear Physics - Theory ; hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice |
| Abstract | The quasi-PDF approach provides a path to computing parton distribution functions (PDFs) using lattice QCD. This approach requires matrix elements of a power-divergent operator in a nucleon at high momentum and one generically expects discretization effects starting at first order in the lattice spacing $a$. Therefore, it is important to demonstrate that the continuum limit can be reliably taken and to understand the size and shape of lattice artifacts. In this work, we report a calculation of isovector unpolarized and helicity PDFs using lattice ensembles with $N_f=2+1+1$ Wilson twisted mass fermions, a pion mass of approximately 370 MeV, and three different lattice spacings. Our results show a significant dependence on $a$, and the continuum extrapolation produces a better agreement with phenomenology. The latter is particularly true for the antiquark distribution at small momentum fraction $x$, where the extrapolation changes its sign. |
| Copyright/License | preprint: (Licenses: arXiv nonexclusive-distrib 1.0, CC BY 4.0) publication: (License: CC BY 4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Záznam vytvorený 2020-11-04, zmenený 2023-12-14
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