{"paper":{"title":"First determination of $f_+(0) |V_{us}|$ from a combined analysis of $\\tau\\to K\\pi \\nu_\\tau$ decay and $\\pi K$ scattering with constraints from $K_{\\ell3}$ decays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Veronique Bernard","submitted_at":"2013-11-11T20:35:30Z","abstract_excerpt":"We perform a combined analysis of $\\tau\\to K\\pi \\nu_\\tau$ decay and $\\pi K$ scattering with constraints from $K_{\\ell3}$ data using a $N/D$ approach that fulfills requirements from unitarity and analyticity. We obtain a good fit of the $I=1/2$ $\\pi K$ amplitude in the $P$ wave using the LASS data above the elastic region while in this region data are generated via Monte Carlo using the FOCUS results based on $D_{\\ell 4}$ decay. The spectrum and branching ratio of $\\tau\\to K\\pi \\nu_\\tau$ constrained by $K_{\\ell3}$ decays are also well reproduced leading to $f_+(0) |V_{us}|= 0.2163 \\pm 0.0014 $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2569","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"}