Dilaton Sum Rules of Gravitational Form Factors in QCD at Order $\alpha_s$

Claudio Corianò; Stefano Lionetti; Dario Melle; Leonardo Torcellini

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arXiv · 2603.24303

Dilaton Sum Rules of Gravitational Form Factors in QCD at Order $\alpha_s$

Claudio Corianò·Stefano Lionetti·Dario Melle·Leonardo Torcellini

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Abstract

We formulate a partonic description of hadronic gravitational form factors within QCD, focusing on the three-point function of the energy-momentum tensor and two gluon currents. Despite the lack of exact conformal symmetry in QCD, the correlator may be organized around the conformal limit through momentum-space CFT methods, suitably adjusted for gauge-fixing effects. This yields a tensor decomposition into spin-2, spin-1, and spin-0 sectors, with the spin-0 contribution governed by the conformal anomaly. The corresponding anomaly form factor satisfies a mass-independent dispersive sum rule and allows a dilaton-like interpretation. In the light-cone limit, this term and an additional traceless structure become dominant, indicating an effective anomaly-mediated description relevant to hadronic gravitational form factors.

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Claudio Corianò, Stefano Lionetti, Dario Melle, Leonardo Torcellini. 2026-03-25. Dilaton Sum Rules of Gravitational Form Factors in QCD at Order $\alpha_s$. https://arxiv.org/abs/2603.24303

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