{ "id": "1108.2036", "version": "v2", "published": "2011-08-09T20:01:31.000Z", "updated": "2012-03-19T23:03:37.000Z", "title": "Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP Violation Parameter epsilon_K and Delta M_K", "authors": [ "Joachim Brod", "Martin Gorbahn" ], "comment": "5 pages, 2 figures; typos corrected, references added, extended discussion of results, updated numerics, version as published in PRL", "journal": "Phys.Rev.Lett.108:121801,2012", "doi": "10.1103/PhysRevLett.108.121801", "categories": [ "hep-ph" ], "abstract": "The observables epsilon_K and Delta M_K play a prominent role in particle physics due to their sensitivity to new physics at short distances. To take advantage of this potential, a firm theoretical prediction of the standard-model background is essential. The charm-quark contribution is a major source of theoretical uncertainty. We address this issue by performing a next-to-next-to-leading-order (NNLO) QCD analysis of the charm-quark contribution eta_cc to the effective |Delta S|=2 Hamiltonian in the standard model. We find a large positive shift of 36%, leading to eta_cc = 1.87(76). This result might cast doubt on the validity of the perturbative expansion; we mention possible solutions. Finally, we give an updated value of the standard-model prediction for |epsilon_K| = 1.81(28) x 10^-3 and Delta M_K(SD) = 3.1(1.2) x 10^-15 GeV.", "revisions": [ { "version": "v2", "updated": "2012-03-19T23:03:37.000Z" } ], "analyses": { "subjects": [ "12.38.Bx", "12.15.Hh", "11.30.Er", "13.25.Es" ], "keywords": [ "cp violation parameter", "next-to-next-to-leading-order charm-quark contribution", "standard-model prediction", "short distances", "firm theoretical prediction" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2012, "month": "Mar", "volume": 108, "number": 12, "pages": 121801 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 922836, "adsabs": "2012PhRvL.108l1801B" } } }