Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
arXiv:hep-lat/0612027 · doi:10.1103/PhysRevD.75.074003
Abstract
We consider the pion matrix elements of the isoscalar and isovector combinations of the vector and tensor twist-two operators that determine the moments of the various pion generalised parton distributions. Our analysis is performed using partially-quenched chiral perturbation theory. We work in the SU(2) and SU(4|2) theories and present our results at infinite volume and also at finite volume where some subtleties arise. These results are useful for extrapolations of lattice calculations of these matrix elements at small momentum transfer to the physical regime.
15 pages
References in corpus (40)
- 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
- Unraveling hadron structure with generalized parton distributions
- Skewed and double distributions in pion and nucleon
- Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
- Observation of exclusive DVCS in polarized electron beam asymmetry measurements
- Partially Quenched Gauge Theories and a Application to Staggered Fermions
- Twisted Boundary Conditions in Lattice Simulations
- Moments of Nucleon Generalized Parton Distributions in Lattice QCD
- Measurement of deeply virtual Compton scattering at HERA
- Measurement of Deeply Virtual Compton Scattering at HERA
- Generalized Parton Distributions from Lattice QCD
- Physical Results from Unphysical Simulations
- Pion and Rho Structure Functions from Lattice QCD
- Partially quenched chiral perturbation theory without
- Chiral extrapolation of lattice moments of proton quark distributions
- Enhanced chiral logarithms in partially quenched QCD
- Quark helicity flip generalized parton distributions from two-flavor lattice QCD
- Multidimensional extension of the generalized Chowla-Selberg formula
- Chiral Corrections to Matrix Elements of Twist-2 Operators
- Baryons in Partially Quenched Chiral Perturbation Theory
- Is the Sullivan Process Compatible with QCD Chiral Dynamics?
- Leading Chiral Contributions to the Spin Structure of the Proton
- Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
- Parton distribution functions in the pion from lattice QCD
- Transverse Structure of Nucleon Parton Distributions from Lattice QCD
- Chiral structure of nucleon gravitational form factors
- Twist-two matrix elements at finite and infinite volume
- Moments of Isovector Quark Distributions from Lattice QCD
- 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
- Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
- Nucleon Properties at Finite Volume: the Epsilon Prime Regime
- Universality of the EMC Effect
- DVCS-Dissociation of the Deuteron and the EMC Effect
- Connecting the Quenched and Unquenched Worlds via the Large N_c World
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- The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
- Short Range Correlations and the EMC Effect in Effective Field Theory
- Universality of Mixed Action Extrapolation Formulae
- Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
- External Momentum, Volume Effects, and the Nucleon Magnetic Moment
- Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
- Connected Parts of Decuplet Electromagnetic Properties
- Chiral Perturbation for Large Momentum Effective Field Theory
- Large-N Summation of Chiral Logs for Generalized Parton Distributions