The Gravitational Form Factor of the Pion and Proton and the Conformal Anomaly

2024/09/29 by Claudio Corianò, Corianò, Claudio, Stefano Lionetti +5 · 1 citation
Physics and Astronomy · #Scientific Research and Discoveries #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2409.19586

Abstract

We analyze the hard scattering amplitude of gravitational form factors (GFFs) of hadrons within QCD factorization at large momentum transfers, focusing on their conformal field theory (CFT) description. These form factors are key to studying quark and gluon angular momentum in hadrons, connected to Mellin moments of Deeply Virtual Compton Scattering (DVCS). The analysis uses diffeomorphism invariance and conformal symmetry in momentum space. A non-Abelian TJJ 3-point function at O(α_s²) reveals a dilaton interaction in the t-channel. We present a parameterization relevant for future DVCS/GFF experiments at the Electron-Ion Collider.

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• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory

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