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Massless Positivity in Graviton Exchange

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arxiv 2011.11652 v4 pith:L7YMNBTR submitted 2020-11-23 hep-th gr-qc

Mario Herrero-Valea , Raquel Santos-Garcia , Anna Tokareva This is my paper
classification hep-thgr-qc
keywords amplitudeboundsdivergencesexchangegeneralincludingmasslesspositivity
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We formulate Positivity Bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real axis in the complex plane for the Maldestam variable $s$. In general, validity of these bounds require the cancellation of divergences in the forward limit of the amplitude, proportional to $t^{-1}$ and $\log(t)$. We show that this is possible in the case of gravitons if one assumes a Regge behavior of the amplitude at high energies below the Planck scale, as previously suggested in the literature, and that the concrete UV behaviour of the amplitude is uniquely determined by the structure of IR divergences. We thus extend previous results by including a sub-leading logarithmic term, which we show to be universal. The bounds that we present here have the potential of constraining very general models of modified gravity and EFTs of matter coupled to gravitation.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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