Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering

Abstract

We present a dispersive representation of the D-term form factor for hard exclusive reactions, using unsubtracted $t$-channel dispersion relations. The $t$-channel unitarity relation is saturated with the contribution of two-pion intermediate states, using the two-pion distributions amplitude for the ${\gamma }^{\ast }\gamma \to \pi \pi$ subprocess and reconstructing the $\pi \pi \to N\bar{N}$ subprocess from available information on pion-nucleon partial-wave helicity amplitudes. Results for the D-term form factor as function of $t$ as well as at $t=0$ are discussed in comparison with available model predictions and phenomenological parametrizations.

arXiv comment8 pages, 3 figures; improved presentation of the results; version to appear in Phys. Lett. B

References in corpus (41)

• Hard Exclusive Reactions and the Structure of Hadrons
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Skewed and double distributions in pion and nucleon
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Dispersion relations in real and virtual Compton scattering
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• Hard exclusive electroproduction of two pions and their resonances
• Generalized Parton Distributions from Lattice QCD
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Dispersion representations for hard exclusive processes
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Dispersion relations and subtractions in hard exclusive processes
• Fixed-t subtracted dispersion relations for Compton scattering off the nucleon
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model
• Chiral structure of nucleon gravitational form factors
• Dispersion relation formalism for virtual Compton scattering off the proton
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Generalized Parton Distributions and Their Singularities
• Radial excitations of Q-balls, and their D-term
• On the D-term of the nucleon generalized parton distributions
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Energy momentum tensor, stability, and the D-term of Q-balls
• Hard diffractive electroproduction of two pions
• Chiral perturbation theory for nucleon generalized parton distributions
• NLO corrections and contribution of a tensor gluon operator to the process ${\gamma }^{\ast }\gamma \to \pi \pi$
• Two-Photon Annihilation into Baryon-Antibaryon Pairs
• Angular distributions in hard exclusive production of pion pairs
• In-medium modified energy-momentum tensor form factors of the nucleon within the framework of a $\pi$-$\rho$-$\omega$ soliton model
• Two-pion light-cone distribution amplitudes from the instanton vacuum
• The First Moments of Nucleon Generalized Parton Distributions
• On chiral corrections to nucleon GPD
• Taming Deeply Virtual Compton Scattering
• The Use of Dispersion Relations in Hard Exclusive Processes and the Partonic Interpretation of Deeply Virtual Compton Scattering
• First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
• Exclusive electroproduction of pion pairs
• GPD and PDF modeling in terms of effective light-cone wave functions

Cited by in corpus (52)

• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Revisiting the mechanical properties of the nucleon
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Holographic $J/\psi$ production near threshold and the proton mass problem
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Gluon gravitational structure of hadrons of different spin
• Revisiting the proton mass decomposition
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
• Description and interpretation of DVCS measurements
• Gravitational form factors and mechanical properties of proton in a light-front quark-diquark model
• D-term and structure of point-like and composed spin-0 particles
• Energy momentum tensor and the D-term in the bag model
• Gravitational form factors within light-cone sum rules at leading order
• Nucleon's energy-momentum tensor form factors in light-cone QCD
• Modelling the nucleon structure
• Extraction of the proton mass radius from the vector meson photoproductions near thresholds
• Effects of long-range forces on the D-term and the energy-momentum structure
• First-time measurement of Timelike Compton Scattering
• Strong force fields and stabilities of the nucleon and singly heavy baryon ${\Sigma }_c$
• The dynamic origins of fermionic D-terms
• The gravitational form factor D(t) of the electron
• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• $J=0$ fixed pole and $D$-term form factor in deeply virtual Compton scattering
• Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
• Dual parametrization of generalized parton distributions in two equivalent representations
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Genuine empirical pressure within the proton
• Pion gravitational form factors in a relativistic theory of composite particles
• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
• The energy-momentum tensor and D-term of Q-clouds
• The gravitational form factors of the electron in quantum electrodynamics
• Dispersive Determination of Nucleon Gravitational Form Factors
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• Gravitational transition form factors of $N\to \Delta$ via QCD light-cone sum rules
• Virtual Compton Scattering and Nucleon Generalized Polarizabilities
• Gravitational form factors of hyperons in light-cone QCD
• Gravitational form factors of $N(1535)$ in QCD
• Determination of shear forces inside the proton
• Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
• A Journey of Seeking Pressure and Forces in the Nucleon
• Medium modification of the nucleon mechanical properties: Abel tomography case
• Deeply virtual Compton scattering off Helium nuclei with positron beams
• Leading-order QED radiative corrections to timelike Compton scattering on the proton
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
• Soft-photon radiative corrections to the $e^{-}p\to e^{-}p{l}^{-}{l}^{+}$ process
• Energy-momentum tensor form factor D(t) of proton and neutron
• Light-Cone Sum Rules for Gravitational Form Factors
• Entanglement, Trace Anomaly and Confinement in QCD