2021/02/28 by Simon Caron-Huot, Dalimil Mazáč, Dalimil Mazac +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bounding overwatch #Computer science #Cosmology and Gravitation Theories #Cutoff #Derivative (finance) #Geometry #Gravitation #Graviton #Limit (mathematics) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep07(2021)110
25+10 pages, 10 figures, v2: typo fixed, references added
arxiv created 2021/05/24 · openalex publication_date 2021/07/01 · arxiv updated 2021/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract We reconsider the problem of bounding higher derivative couplings in consistent weakly coupled gravitational theories, starting from general assumptions about analyticity and Regge growth of the S-matrix. Higher derivative couplings are expected to be of order one in the units of the UV cutoff. Our approach justifies this expectation and allows to prove precise bounds on the order one coefficients. Our main tool are dispersive sum rules for the S-matrix. We overcome the difficulties presented by the graviton pole by measuring couplings at small impact parameter, rather than in the forward limit. We illustrate the method in theories containing a massless scalar coupled to gravity, and in theories with maximal supersymmetry.