Moments of nucleon generalized parton distributions from lattice QCD

Abstract

We present results on the lower moments of the nucleon generalized parton distri butions within lattice QCD using two dynamical flavors of degenerate twisted mass fermions. Our simulations are performed on lattices with three different values of the lattice spacings, namely $a=0.089$ fm, $a=0.070$ fm and $a=0.056$ fm, allowing the investigation of cut-off effects. The volume dependence is examined using simulations on two lattices of spatial length $L=2.1$ fm and $L=2.8$ fm. The simulations span pion masses in the range of 260-470 MeV. Our results are renormalized non-perturbatively and the values are given in the $\overline{\mathrm{MS}}$ scheme at a scale $\mu =2$ GeV. They are chirally extrapolated to the physical point in order to compare with experiment. The consequences of these results on the spin carried by the quarks in the nucleon are investigated.

arXiv comment23 pages, 15 figures

References in corpus (41)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Nonforward Parton Distributions
• Uncertainties of predictions from parton distributions. I: experimental errors
• Chirally improving Wilson fermions - I. O(a) improvement
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Observation of exclusive DVCS in polarized electron beam asymmetry measurements
• The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Scaling Tests of the Cross Section for Deeply Virtual Compton Scattering
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• QCD Analysis of the Polarized World Data
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Twisted mass lattice QCD
• The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• A measurement of the Q^2, W and t dependences of deeply virtual Compton scattering at HERA
• Measurement of Deeply Virtual Compton Scattering and its t-dependence at HERA
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Lattice Operators for Moments of the Structure Functions and their Transformation under the Hypercubic Group
• Axial Nucleon form factors from lattice QCD
• Light baryon masses with dynamical twisted mass fermions
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• The low-lying baryon spectrum with two dynamical twisted mass fermions
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Nucleon electromagnetic form factors in twisted mass lattice QCD
• Moments of Isovector Quark Distributions from Lattice QCD
• Chiral Limit of Nucleon Lattice Electromagnetic Form Factors
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• Single-spin azimuthal asymmetry in exclusive electroproduction of pi+ mesons on transversely polarized protons
• Separation of contributions from deeply virtual Compton scattering and its interference with the Bethe--Heitler process in measurements on a hydrogen target
• Renormalization constants for 2-twist operators in twisted mass QCD
• Generalized parton distributions for the nucleon in chiral perturbation theory
• O(a^2) cutoff effects in lattice Wilson fermion simulations
• Hadronic structure from the lattice

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