Dilaton Sum Rules of Gravitational Form Factors in QCD at Order $α_s$
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910079258722304 |
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| author | Corianò, Claudio Lionetti, Stefano Melle, Dario Torcellini, Leonardo |
| author_facet | Corianò, Claudio Lionetti, Stefano Melle, Dario Torcellini, Leonardo |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_24303 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dilaton Sum Rules of Gravitational Form Factors in QCD at Order $α_s$ Corianò, Claudio Lionetti, Stefano Melle, Dario Torcellini, Leonardo High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | Dilaton Sum Rules of Gravitational Form Factors in QCD at Order $α_s$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.24303 |