Gravitational Form Factors and the QCD Dilaton at Large Momentum Transfer

Fuente: arXiv
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Autori principali: Corianò, Claudio, Lionetti, Stefano, Melle, Dario, Tommasi, Riccardo, Torcellini, Leonardo
Natura: Preprint
Pubblicazione: 2025
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author Corianò, Claudio
Lionetti, Stefano
Melle, Dario
Tommasi, Riccardo
Torcellini, Leonardo
author_facet Corianò, Claudio
Lionetti, Stefano
Melle, Dario
Tommasi, Riccardo
Torcellini, Leonardo
contents We investigate the hard scatterings of hadronic matrix elements corresponding to hadronic gravitational form factors (GFFs) of the pion and proton using QCD factorization, applying conformal field theory (CFT) tools. These GFFs are key to understanding quark and gluon angular momentum via their connection to DVCS moments. The core object is the non-Abelian \( TJJ \) 3-point function, which shows an anomaly-induced dilaton exchange in the \( t \)-channel. We analyze quark, ghost, and gauge-fixing effects through a CFT-based decomposition and propose a parameterization useful for future DVCS studies at the Electron-Ion Collider. The dilaton interaction is interpolated by a conformal anomaly form factor, defined in the nonconformal case, which is constrained by a (dilaton) sum rule.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20884
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational Form Factors and the QCD Dilaton at Large Momentum Transfer
Corianò, Claudio
Lionetti, Stefano
Melle, Dario
Tommasi, Riccardo
Torcellini, Leonardo
High Energy Physics - Phenomenology
We investigate the hard scatterings of hadronic matrix elements corresponding to hadronic gravitational form factors (GFFs) of the pion and proton using QCD factorization, applying conformal field theory (CFT) tools. These GFFs are key to understanding quark and gluon angular momentum via their connection to DVCS moments. The core object is the non-Abelian \( TJJ \) 3-point function, which shows an anomaly-induced dilaton exchange in the \( t \)-channel. We analyze quark, ghost, and gauge-fixing effects through a CFT-based decomposition and propose a parameterization useful for future DVCS studies at the Electron-Ion Collider. The dilaton interaction is interpolated by a conformal anomaly form factor, defined in the nonconformal case, which is constrained by a (dilaton) sum rule.
title Gravitational Form Factors and the QCD Dilaton at Large Momentum Transfer
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.20884