Complete definition of transition generalized parton distributions
arXiv:2501.00185 · doi:10.1103/m4vj-bkqy
Abstract
We revisit the definition of the leading-twist chiral-even generalized parton distributions (GPDs) for baryon transitions. We identify and address deficiencies in previous definitions of the transition GPDs inspired by the transition form factors of the vector and axial-vector currents. Through systematic analysis of all possible covariant structures, respecting discrete symmetries and the baryon spinor equations of motion, we derive complete sets of independent structures for the transition matrix elements of the vector and axial-vector partonic operators. They contain additional structures proportional to the light-cone vector, corresponding to transition GPDs of vanishing first moment, which were not included in previous parametrizations. Their presence is confirmed independently by the light-front multipole expansion and the cross-channel SO(3) partial-wave analysis of the transition matrix elements. Our analysis provides a complete definition of the transition GPDs for use in theoretical and phenomenological studies.
arXiv comment13 pages
References in corpus (19)
- Quantum Chromodynamics and Other Field Theories on the Light Cone
- Generalized Parton Distributions
- Deeply Virtual Compton Scattering
- Unraveling hadron structure with generalized parton distributions
- Hard Exclusive Reactions and the Structure of Hadrons
- Electromagnetic excitation of the Delta(1232)-resonance
- Probing partonic structure in gamma* gamma -> pi pi near threshold
- Hard exclusive electroproduction of two pions and their resonances
- On the analysis of lepton scattering on longitudinally or transversely polarized protons
- Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
- Generalized parton distributions through universal moment parameterization: zero skewness case
- Generalized parton distributions through universal moment parameterization: non-zero skewness case
- New explicit expressions for Dirac bilinears
- Electromagnetic Transition Form Factors of Baryon Resonances
- Dual parametrization of generalized parton distributions in two equivalent representations
- Parametrization of transition energy-momentum tensor form factors
- Transition GPDs and exclusive electroproduction of final states
- Light-front representation of chiral dynamics with Delta isobar and large-N_c relations
- QCD angular momentum in transitions