{ "id": "1908.11816", "version": "v1", "published": "2019-08-30T16:14:40.000Z", "updated": "2019-08-30T16:14:40.000Z", "title": "Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3", "authors": [ "Yonggoo Heo", "C. Kobdaj", "M. F. M. Lutz" ], "comment": "24 pages", "categories": [ "hep-ph" ], "abstract": "We consider the chiral Lagrangian for baryon fields with J^P =\\frac{1}{2}^+ or J^P =\\frac{3}{2}^+ quantum numbers as constructed from QCD with up, down and strange quarks. The specific class of counter terms that are of chiral order Q^3 and contribute to meson-baryon interactions at the two-body level is constructed. Altogether we find 24 terms. In order to pave the way for realistic applications we establish a set of 22 sum rules for the low-energy constants as they are implied by QCD in the large-N_c limit. Given such a constraint there remain only 2 independent unknown parameters that need to be determined by either Lattice QCD simulations or directly from experimental cross section measurements. At subleading order we arrive at 5 parameters.", "revisions": [ { "version": "v1", "updated": "2019-08-30T16:14:40.000Z" } ], "analyses": { "keywords": [ "chiral order", "meson-baryon interactions", "constraint", "experimental cross section measurements", "lattice qcd simulations" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable" } } }