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Finite energy sum rules for gravitational Regge amplitudes

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arxiv 2212.08001 v2 pith:PRABYH77 submitted 2022-12-15 hep-th astro-ph.COgr-qchep-ph

Toshifumi Noumi , Junsei Tokuda This is my paper
classification hep-thastro-ph.COgr-qchep-ph
keywords finitegravitationalreggeamplitudesboundsderivefesrsenergy
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We develop a framework to derive consistency constraints on gravitational Regge amplitudes based on the finite energy sum rules (FESRs), which directly connect gravitational Regge amplitudes at a finite ultraviolet scale with infrared physics without suffering from super-Planckian physics. For illustration, we consider four-point scattering of an identical massless scalar coupled to gravity. First, we derive multiple FESRs without relying on the $s\text{-}t\text{-}u$ permutation invariance. We then make use of FESRs, crossing symmetry, and other principles such as unitarity, to derive bounds on the Regge parameters. The bounds result in infrared finite gravitational positivity bounds in four spacetime dimensions.

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Cited by 4 Pith papers

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