https://doi.org/10.1051/epjconf/202431400030
The gravitational form factor of the pion and proton and the conformal anomaly*
1 Dipartimento di Matematica e Fisica, Università del Salento and INFN Sezione di Lecce, Via Arnesano 73100 Lecce, Italy
2 National Center for HPC, Big Data and Quantum Computing, Via Magnanelli 2, 40033 Casalecchio di Reno, Italy
* Presented at QCD@Work by Dario Melle and Riccardo Tommasi, 18 - 21 June 2024, Trani, Italy
** e-mail: claudio.coriano@le.infn.it
*** e-mail: stefano.lionetti@unisalento.it
**** e-mail: dario.melle@le.infn.it
† e-mail: riccardo.tommasi@unisalento.it
Published online: 10 December 2024
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(αs2) reveals a dilaton interaction in the t-channel. We present a parameterization relevant for future DVCS/GFF experiments at the Electron-Ion Collider (EIC).
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
