{ "id": "hep-ph/0601197", "version": "v1", "published": "2006-01-24T13:01:50.000Z", "updated": "2006-01-24T13:01:50.000Z", "title": "The $B_K$ Kaon Parameter in the Chiral Limit", "authors": [ "Johan Bijnens", "Elvira Gamiz", "Joaquim Prades" ], "comment": "17 pages", "journal": "JHEP 0603 (2006) 048", "doi": "10.1088/1126-6708/2006/03/048", "categories": [ "hep-ph", "hep-lat" ], "abstract": "We introduce four-point functions in the hadronic ladder resummation approach to large $N_c$ QCD Green functions. We determine the relevant one to calculate the $B_K$ kaon parameter in the chiral limit. This four-point function contains both the large momenta QCD OPE and the small momenta ChPT at NLO limits, analytically. We get $\\hat B_K^\\chi = 0.38 \\pm 0.15$. We also give the ChPT result at NLO for the relevant four-point function to calculate $B_K$ outside the chiral limit, while the leading QCD OPE is the same as the chiral limit one.", "revisions": [ { "version": "v1", "updated": "2006-01-24T13:01:50.000Z" } ], "analyses": { "keywords": [ "chiral limit", "kaon parameter", "large momenta qcd ope", "hadronic ladder resummation approach", "relevant four-point function" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "J. High Energ. Phys." }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 709158 } } }