Chiral Corrections to Matrix Elements of Twist-2 Operators

Abstract

We compute the leading non-analytic contributions of the form m_q Log(m_q) to matrix elements of twist-2 operators in the nucleon and pion using effective field theory. Previously omitted one-loop contributions that are related to tree-level matrix elements by chiral symmetry are included.

12 pages, 3 eps figures, latex

Cited by in corpus (76)

• Unraveling hadron structure with generalized parton distributions
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• First Monte Carlo global QCD analysis of pion parton distributions
• Hadron structure from lattice quantum chromodynamics
• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• Nucleon form factors and moments of generalized parton distributions using $N_f=2+1+1$ twisted mass fermions
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Baryons in Partially Quenched Chiral Perturbation Theory
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
• A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
• Parton distribution functions in the pion from lattice QCD
• Chiral structure of nucleon gravitational form factors
• Moments of nucleon generalized parton distributions from lattice QCD
• Twist-two matrix elements at finite and infinite volume
• Moments of Isovector Quark Distributions from Lattice QCD
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Pion structure function from leading neutron electroproduction and SU(2) flavor asymmetry
• Investigation of the Second Moment of the Nucleon's g1 and g2 Structure Functions in Two-Flavor Lattice QCD
• Chiral Extrapolation of Hadronic Observables
• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Pion momentum distributions in the nucleon in chiral effective theory
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Nucleons Properties at Finite Lattice Spacing in Chiral Perturbation Theory
• Chiral perturbation theory for nucleon generalized parton distributions
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
• Universality of Mixed Action Extrapolation Formulae
• Moments of Nucleon's Parton Distribution for the Sea and Valence Quarks from Lattice QCD
• Nucleon electromagnetic form factors from lattice QCD
• Flavour singlet physics in lattice QCD with background fields
• Chiral dynamics and partonic structure at large transverse distances
• Pion production in deeply virtual Compton scattering
• Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis
• Strange quark asymmetry in the proton in chiral effective theory
• Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
• Estimates for Pion-Photon Transition Distributions
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Parton distributions from nonlocal chiral SU(3) effective theory. I. Splitting functions
• Universality of the EMC Effect
• Constraints on $s-\bar{s}$ asymmetry of the proton in chiral effective theory
• Equivalence of pion loops in equal-time and light-front dynamics
• Nucleon structure functions with domain wall fermions
• Matrix Elements of Twist-2 Operators in Quenched Chiral Perturbation Theory
• Lattice QCD constraints on the parton distribution functions of ${}^3\text{He}$
• Calculation of Moments of Structure Functions
• The Chiral Extrapolation of Strange Matrix Elements in the Nucleon
• Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Octet Spin Fractions and the Proton Spin Problem
• Charge symmetry breaking from a chiral extrapolation of moments of quark distribution functions
• Soft Pion Emission in DVCS
• First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
• Breakdown of chiral expansion for parton distributions
• DVCS-Dissociation of the Deuteron and the EMC Effect
• Moments of Isovector Quark Distributions in Lattice QCD
• Chiral Perturbation for Large Momentum Effective Field Theory
• Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory
• Structure functions and form factors close to the chiral limit from lattice QCD
• Large-N Summation of Chiral Logs for Generalized Parton Distributions
• Hadron Structure in Lattice QCD
• Strange quark helicity in the proton from chiral effective theory
• Chiral expansion of moments of quark distributions
• Comment on soft-pion emission in DVCS
• Structure functions near the chiral limit
• Flavor symmetry breaking in the $\Delta$ sea
• The first PDF moments for three dynamical flavors in Baryon Chiral Perturbation Theory
• Chiral expansion of nucleon PDF at $x\sim m_{\pi }/M_N$
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Covariant propagator and chiral power counting
• Nucleon parton distributions from hadronic quantum fluctuations
• Moments of meson distribution functions with dynamical twisted mass fermions