Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
Conformal Anomalies and the Gravitational Effective Action: The $TJJ$ Correlator for a Dirac Fermion
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abstract
We compute in linearized gravity all the contributions to the gravitational effective action due to a virtual Dirac fermion, related to the conformal anomaly. This requires, in perturbation theory, the identification of the gauge-gauge-graviton vertex off mass shell, involving the correlator of the energy-momentum tensor and two vector currents ($TJJ$), which is responsible for the generation of the gauge contributions to the conformal anomaly in gravity. We also present the anomalous effective action in the inverse mass of the fermion as in the Euler-Heisenberg case.
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2026 3representative citing papers
In the Jordan-frame treatment of f(R) gravity the scalaron-photon effective coupling vanishes for m much less than loop-particle masses because the classical-trace diagrams cancel the Fujikawa anomaly term.
In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.
citing papers explorer
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The Gravitational Form Factor of the Pion in Perturbative QCD with a Dilaton Interaction
Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
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Effective scalaron--photon interaction in $f(R)$ gravity
In the Jordan-frame treatment of f(R) gravity the scalaron-photon effective coupling vanishes for m much less than loop-particle masses because the classical-trace diagrams cancel the Fujikawa anomaly term.
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The Pion Gravitational Form Factors and the Trace Anomaly in QCD Factorization
In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.