The paper proposes that one-point energy correlators in transversely polarized proton-proton collisions access the nucleon's transversity distribution through a single-spin asymmetry with sin(φ_s - φ_n) angular dependence over a wider kinematic range than traditional transverse momentum measurements
Parton distributions and lattice QCD calculations: a community white paper
8 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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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In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.
Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.
Pion PDFs from holographic light-front QCD are consistent with global analyses and produce J/ψ cross sections matching experimental data across energies and targets.
The skewness dependence of hadronic correlation functions affects Mellin moment extraction for double parton distributions from existing lattice data, as quantified through several models.
New CT18 PDFs at NLO and NNLO from global fit to HERA plus LHC jet, Drell-Yan, top-pair and Z data, with Hessian errors, Lagrange-multiplier studies, and alternate sets for data tensions and scale choices.
Kinematically enhanced nucleon interpolators improve precision of renormalized quark matrix elements by an order of magnitude at 2.5 GeV with no observed lattice spacing dependence on CLS ensembles.
citing papers explorer
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Accessing nucleon transversity with one-point energy correlators
The paper proposes that one-point energy correlators in transversely polarized proton-proton collisions access the nucleon's transversity distribution through a single-spin asymmetry with sin(φ_s - φ_n) angular dependence over a wider kinematic range than traditional transverse momentum measurements
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Quasi Parton Distribution Functions in Covariant Quark Models
In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momentum tensor form factor.
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Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD
First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.
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PDF evolution in alternative factorisation schemes
Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.
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Pion parton distribution functions and pion-nucleus induced $J/\psi$ production in extended light-front holographic QCD
Pion PDFs from holographic light-front QCD are consistent with global analyses and produce J/ψ cross sections matching experimental data across energies and targets.
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Extracting Mellin moments of double parton distributions from lattice data
The skewness dependence of hadronic correlation functions affects Mellin moment extraction for double parton distributions from existing lattice data, as quantified through several models.
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New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
New CT18 PDFs at NLO and NNLO from global fit to HERA plus LHC jet, Drell-Yan, top-pair and Z data, with Hessian errors, Lagrange-multiplier studies, and alternate sets for data tensions and scale choices.
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Kinematic enhancement for nucleon interpolators
Kinematically enhanced nucleon interpolators improve precision of renormalized quark matrix elements by an order of magnitude at 2.5 GeV with no observed lattice spacing dependence on CLS ensembles.