Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass

Abstract

We present results for the moments of nucleon isovector vector and axial generalised parton distribution functions computed within lattice QCD. Three ensembles of maximally twisted mass clover-improved fermions simulated with a physical value of the pion mass are analyzed. Two of these ensembles are generated using two degenerate light quarks. A third ensemble is used having, in addition to the light quarks, strange and charm quarks in the sea. A careful analysis of the convergence to the ground state is carried out that is shown to be essential for extracting the correct nucleon matrix elements. This allows a controlled determination of the unpolarised, helicity and tensor second Mellin moments. The vector and axial-vector generalised form factors are also computed as a function of the momentum transfer square up to about 1 GeV${}^2$. The three ensembles allow us to check for unquenching effects and to assess lattice finite volume effects.

arXiv commentPublished version. Typos corrected, references and figures added. 22 pages, 17 figures

References in corpus (48)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Parton distributions from high-precision collider data
• New parton distribution functions from a global analysis of quantum chromodynamics
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Parton Physics on Euclidean Lattice
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Chirally improving Wilson fermions - I. O(a) improvement
• A first unbiased global determination of polarized PDFs and their uncertainties
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• Parton distributions and lattice QCD calculations: a community white paper
• Chirally improving Wilson fermions II. Four-quark operators
• Revisiting the mechanical properties of the nucleon
• First simultaneous extraction of spin-dependent parton distributions and fragmentation functions from a global QCD analysis
• Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details
• Model independent extraction of the proton charge radius from electron scattering
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• QCD Analysis of the Polarized World Data
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
• The nucleon axial charge from lattice QCD with controlled errors
• Nucleon form factors and moments of generalized parton distributions using $N_f=2+1+1$ twisted mass fermions
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Model independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Proton and neutron electromagnetic form factors from lattice QCD
• Simulating twisted mass fermions at physical light, strange and charm quark masses
• The nucleon electromagnetic form factors from Lattice QCD
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions
• Nucleon electromagnetic form factors in twisted mass lattice QCD
• Nucleon isovector charges and twist-2 matrix elements with $N_f=2+1$ dynamical Wilson quarks
• Renormalization functions for Nf=2 and Nf=4 Twisted Mass fermions
• Spin-orbit correlations in the nucleon
• Renormalization constants of local operators for Wilson type improved fermions
• $N\pi$-state contamination in lattice calculations of the nucleon axial form factors
• Renormalization constants for 2-twist operators in twisted mass QCD
• Nucleon generalized form factors from two-flavor lattice QCD
• Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study
• Multigrid accelerated simulations for Twisted Mass fermions
• Quark transverse spin-orbit correlations

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