{"paper":{"title":"Double-logarithms in N=8 supergravity: impact parameter description and mapping to 1-rooted ribbon graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Agust\\'in Sabio Vera","submitted_at":"2019-04-30T17:09:56Z","abstract_excerpt":"The set of double-logarithmic (DL) contributions $(\\alpha \\, t \\ln^2 {s})^n$ to the 4-graviton amplitude in ${\\cal N}$$=$ 8 supergravity (SUGRA), with $\\alpha$ being the gravitational coupling and $(s,t)$ the Mandelstam invariants, is studied in impact parameter ($\\rho$) representation. This sector of the amplitude shows interesting properties which shed light on the nature of quantum corrections in gravity. Besides having a convergent behaviour as $s$ increases, which is not present in ${\\cal N}$$<$ 4 SUGRA theories, there exists a critical line $\\rho_c(s)$ above which the Born amplitude prev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.13372","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}