{ "id": "2406.07606", "version": "v1", "published": "2024-06-11T18:00:00.000Z", "updated": "2024-06-11T18:00:00.000Z", "title": "String loops and gravitational positivity bounds: imprint of light particles at high energies", "authors": [ "Simon Caron-Huot", "Junsei Tokuda" ], "comment": "27 pages + 4 appendices, 14 figures", "categories": [ "hep-th", "hep-ph" ], "abstract": "We study loop corrections to positivity bounds on effective field theories in the context of $2\\to 2$ scattering in gravitational theories, in the presence of light particles. It has been observed that certain negative contributions at low energies are enhanced by inverse powers of a small mass $m$ and are nontrivial to cancel against other low-energy contributions. These originate from near the forward limit of diagrams involving graviton exchange. We observe that scattering in this kinematics domain remains infrared-sensitive even at high center-of-mass energy. By considering a string-inspired model in which high-energy loops can be calculated using unitarity and Regge behavior of tree amplitudes, we uncover a natural mechanism through which $1/m$-enhanced terms perfectly cancel between low and high energy contributions. This concretely explains possible positivity violations in the presence of gravity from the high-energy viewpoint.", "revisions": [ { "version": "v1", "updated": "2024-06-11T18:00:00.000Z" } ], "analyses": { "keywords": [ "gravitational positivity bounds", "light particles", "string loops", "high energy contributions", "kinematics domain remains" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable" } } }