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Energy correlations and Planckian collisions

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arxiv 2404.15056 v1 pith:BTXPX42A submitted 2024-04-23 hep-th

Energy correlations and Planckian collisions

classification hep-th
keywords energyscatteringcorrelationsgravitationalconformalcouplingdetectorsdual
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Energy correlations characterize the energy flux through detectors at infinity produced in a collision event. Remarkably, in holographic conformal field theories, they probe high-energy gravitational scattering in the dual anti-de Sitter geometry. We use known properties of high-energy gravitational scattering and its unitarization to explore the leading quantum-gravity correction to the energy-energy correlator at strong coupling. We find that it includes a part originating from large impact parameter scattering that is non-analytic in the angle between detectors and is $\log N_c$ enhanced compared to the standard $1/N_c$ perturbative expansion. It is sensitive to the full bulk geometry, including the internal manifold, providing a refined probe of the emergent holographic spacetime. Similarly, scattering at small impact parameters leads to contributions that are further enhanced by extra powers of the 't Hooft coupling assuming it is corrected by stringy effects. We conclude that energy correlations are sensitive to the UV properties of the dual gravitational theory and thus provide a promising target for the conformal bootstrap.

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Cited by 1 Pith paper

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  1. Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude

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    A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.