On (scalar QED) gravitational positivity bounds

A bstract 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 contribu...

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Veröffentlicht in:The journal of high energy physics Jg. 2023; H. 5; S. 76 - 27
Hauptverfasser: Hamada, Yuta, Kuramochi, Rinto, Loges, Gregory J., Nakajima, Sota
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 09.05.2023
Springer Nature B.V
SpringerOpen
Schlagworte:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Energy
Feynman diagrams
Gravitons
Gravity
High energy physics
Operators (mathematics)
Particle spin
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Sum rules
Superstring Vacua
Superstring Vacua
Scattering Amplitudes
ISSN:1029-8479, 1029-8479
Online-Zugang:Volltext
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Zusammenfassung:A bstract 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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2023)076