Generalized parton distributions for the nucleon in chiral perturbation theory

Abstract

We complete the analysis of twist-two generalized parton distributions of the nucleon in one-loop order of heavy-baryon chiral perturbation theory. Extending our previous study of the chiral-even isosinglet sector, we give results for chiral-even isotriplet distributions and for the chiral-odd sector. We also calculate the one-loop corrections for the chiral-odd generalized parton distributions of the pion.

arXiv comment34 pages, 3 figures

References in corpus (37)

• 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
• Chiral Dynamics in Nucleons and Nuclei
• Nonforward Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Off-Forward Parton Distributions
• Axial structure of the nucleon
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
• Observation of exclusive DVCS in polarized electron beam asymmetry measurements
• Hard exclusive electroproduction of two pions and their resonances
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Generalized parton distributions with helicity flip
• Measurement of deeply virtual Compton scattering at HERA
• Measurement of Deeply Virtual Compton Scattering at HERA
• Generalized Parton Distributions from Lattice QCD
• The form factors of the nucleon at small momentum transfer
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• Transverse Deformation of Parton Distributions and Transversity Decomposition of Angular Momentum
• Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation
• Spin densities in the transverse plane and generalized transversity distributions
• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Helicity skewed quark distributions of the nucleon and chiral symmetry
• Low-energy expansion of the pion-nucleon Lagrangian
• Is the Sullivan Process Compatible with QCD Chiral Dynamics?
• On the Evolution Kernels of Twist 2 Light-Ray Operators for Unpolarized and Polarized Deep Inelastic Scattering
• Hard Exclusive Electroproduction of Pions
• Transverse Structure of Nucleon Parton Distributions from Lattice QCD
• The nucleon axial-vector coupling beyond one loop
• Form factor decomposition of generalized parton distributions at leading twist
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Generalized parton distributions for the pion in chiral perturbation theory
• Chiral perturbation theory for nucleon generalized parton distributions
• On wave function renormalization and related aspects in heavy fermion effective field theories

Cited by in corpus (33)

• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Hadron structure from lattice quantum chromodynamics
• Dispersion representations for hard exclusive processes
• The spin structure of the pion
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Chiral Perturbation Theory with tensor sources
• Moments of nucleon generalized parton distributions from lattice QCD
• Matrix elements of the electromagnetic operator between kaon and pion states
• Nucleon's energy-momentum tensor form factors in light-cone QCD
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• Extraction of the proton mass radius from the vector meson photoproductions near thresholds
• Chiral dynamics and partonic structure at large transverse distances
• Vector meson production from a polarized nucleon
• Generalized parton distributions in a light-front nonperturbative approach
• The First Moments of Nucleon Generalized Parton Distributions
• On chiral corrections to nucleon GPD
• Gravitational transition form factors of $N(1535)\to N$
• Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
• Octet Spin Fractions and the Proton Spin Problem
• Gravitational form factors of hyperons in light-cone QCD
• First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
• Charge symmetry breaking from a chiral extrapolation of moments of quark distribution functions
• Breakdown of chiral expansion for parton distributions
• Gravitational form factors of $N(1535)$ in QCD
• The transverse spin structure of the pion at short distances
• Large-N Summation of Chiral Logs for Generalized Parton Distributions
• Chiral expansion of moments of quark distributions
• Chiral expansion of nucleon PDF at $x\sim m_{\pi }/M_N$
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Pion structure from lattice QCD