{"paper":{"title":"$K \\rightarrow \\pi \\ell^+ \\ell^-$ form factor in the Large-N$_c$ and cut-off regularization method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Nath, D. Greynat, E. Coluccio Leskow, G. D'Ambrosio","submitted_at":"2016-03-31T19:02:52Z","abstract_excerpt":"Bardeen-Buras-G\\'{e}rard have proposed a large N$_c$ method to evaluate hadronic weak matrix elements to attack for instance the determination of the $\\Delta I= \\frac{1}{2}$-rule and $\\mathrm{Re}(\\frac{\\epsilon'}{\\epsilon})$. Here we test this method to the determination of the form factor parameters $a_+$ and $b_+$ in the decays $K^+ \\rightarrow \\pi^+ \\ell^+ \\ell^- $ and $K_S \\rightarrow \\pi ^0 \\ell^+ \\ell^-$. The results are encouraging: in particular after a complete treatment of Vector Meson Dominance (VMD)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09721","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"}