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Parton distributions and lattice QCD calculations: A community white paper

In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a Q...

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Published in:Progress in particle and nuclear physics 2018-05, Vol.100, p.107-160
Main Authors: Lin, Huey-Wen, Nocera, Emanuele R., Olness, Fred, Orginos, Kostas, Accardi, Alberto, Alexandrou, Constantia, Bacchetta, Alessandro, Bozzi, Giuseppe, Chen, Jiunn-Wei, Collins, Sara, Cooper-Sarkar, Amanda, Constantinou, Martha, Del Debbio, Luigi, Engelhardt, Michael, Green, Jeremy, Gupta, Rajan, Harland-Lang, Lucian A., Ishikawa, Tomomi, Kusina, Aleksander, Liu, Keh-Fei, Liuti, Simonetta, Monahan, Christopher, Nadolsky, Pavel, Qiu, Jian-Wei, Schienbein, Ingo, Schierholz, Gerrit, Thorne, Robert S., Vogelsang, Werner, Wittig, Hartmut, Yuan, C.-P., Zanotti, James
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Language:English
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Summary:In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a QCD analysis of a suitable set of hard-scattering measurements, often using a variety of hadronic observables. The second approach, based on first-principle operator definitions of PDFs, uses lattice QCD to compute directly some PDF-related quantities, such as their moments. Motivated by recent progress in both approaches, in this document we present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments. We provide benchmark numbers to validate present and future lattice-QCD calculations and we illustrate how they could be used to reduce the PDF uncertainties in current unpolarized and polarized global analyses. This document represents a first step towards establishing a common language between the two communities, to foster dialogue and to further improve our knowledge of PDFs.
ISSN:0146-6410
1873-2224
DOI:10.1016/j.ppnp.2018.01.007