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Parton distributions and lattice QCD calculations: a community white paper

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arxiv 1711.07916 v3 pith:NRDYSWK6 submitted 2017-11-21 hep-ph hep-lat

Parton distributions and lattice QCD calculations: a community white paper

classification hep-ph hep-lat
keywords pdfsapproachapproachescalculationsdeterminedocumentfirstlattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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