{"paper":{"title":"The ring statistics - how to separate E- and B-modes of cosmic shear correlation functions on a finite interval","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Martin Kilbinger (Argelander-Institut fuer Astronomie, Peter Schneider, Universitaet Bonn)","submitted_at":"2006-05-03T11:28:32Z","abstract_excerpt":"Aims. One of the main probes for systematic errors in the cosmic shear signal are the division of the shear field into E- and B-mode shear, where gravitational lensing only produces the former. As shown in a recent note, all currently used E-/B-mode separation methods for the shear correlation functions xi_pm require them to be measured to arbitrarily small and/or large separations which is of course not feasible in practice.\n Methods. We derive second-order shear statistics which provide a clean separation into E- and B-modes from measurements of xi_pm(theta) over a finite interval only. We c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0605084","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"}