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Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
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Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
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We perform a perturbative QCD analysis of the gravitational form factors (GFFs) of nucleon at large momentum transfer. We derive the explicit factorization formula of the GFFs in terms of twist-3 and twist-4 light-cone distribution amplitudes of nucleon. Power behaviors for these GFFs are obtained from the leading order calculations. Numeric results of the quark and gluon contributions to various GFFs are presented with model assumptions for the distribution amplitudes in the literature. We also present the perturbative calculations of the scalar form factor $\langle P'|F^2| P\rangle$ for pion and proton at large momentum transfer.
Forward citations
Cited by 3 Pith papers
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The Gravitational Form Factor of the Pion in Perturbative QCD with a Dilaton Interaction
Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
Lattice fits to gluon gravitational form factors support the sigma meson as dilaton with new predictions for rho and delta, reinforcing evidence for scale symmetry in low-energy QCD.
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Particle seismology: mechanical and gravitational properties from parton-hadron duality
A hadronic approach based on dispersion relations and meson dominance achieves a successful description of lattice QCD data for gravitational form factors of pions and nucleons.
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