On (scalar QED) gravitational positivity bounds
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Publication:6163094
DOI10.1007/JHEP05(2023)076arXiv2301.01999OpenAlexW4376139701MaRDI QIDQ6163094
Author name not available (Why is that?)
Publication date: 26 June 2023
Published in: (Search for Journal in Brave)
Abstract: We study positivity bounds in the presence of gravity. We first review the gravitational positivity bound at the tree-level, where it is known that a certain amount of negativity is allowed for the coefficients of higher-derivative operators. The size of these potentially negative contributions is estimated for several tree-level, Reggeized gravitational amplitudes which are unitary at high energies and feature the t-channel pole characteristic of graviton exchange. We also argue for the form of the one-loop Regge amplitude assuming that the branch cut structure associated with the exchange of the graviton and higher-spin particles is reflected. We demonstrate how the one-loop Regge amplitude appears by summing over Feynman diagrams. For our one-loop amplitude proposal, the positivity bounds generically receive a finite contribution from the Regge tower and do not lead to a parametrically small bound on the cut-off scale of the low-energy EFT, consistent with recent studies based on sum rules of the amplitude.
Full work available at URL: https://arxiv.org/abs/2301.01999
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