{"paper":{"title":"Froissart Bound on Total Cross-section without Unknown Constants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andr\\'e Martin (CERN, Geneva), Mumbai), S. M. Roy (HBCSE, Tata Institute of Fundamental Research","submitted_at":"2013-06-21T18:29:40Z","abstract_excerpt":"We determine the scale of the logarithm in the Froissart bound on total cross-sections using absolute bounds on the D-wave below threshold for $\\pi\\pi$ scattering. E.g. for $\\pi^0 \\pi^0$ scattering we show that for c.m. energy $\\sqrt{s}\\rightarrow \\infty $, $\\bar{\\sigma}_{tot}(s,\\infty)\\equiv s\\int_{s} ^{\\infty} ds'\\sigma_{tot}(s')/s'^2 \\leq \\pi (m_{\\pi})^{-2} [\\ln (s/s_0)+(1/2)\\ln \\ln (s/s_0) +1]^2$ where $m_\\pi^2/s_0= 17\\pi \\sqrt{\\pi/2} $ ."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5210","kind":"arxiv","version":6},"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"}