{ "id": "1405.3601", "version": "v2", "published": "2014-05-14T17:59:59.000Z", "updated": "2014-12-18T18:15:44.000Z", "title": "Lifetimes and HQE", "authors": [ "Alexander Lenz" ], "comment": "53 pages, invited contribution to the Kolya Uraltsev Memorial Book; comments are welcome; typos corrected; nicer style file and new experimental results included", "categories": [ "hep-ph", "hep-ex" ], "abstract": "Kolya Uraltsev was one of the inventors of the Heavy Quark Expansion (HQE), that describes inclusive weak decays of hadrons containing heavy quarks and in particular lifetimes. Besides giving a pedagogic introduction to the subject, we review the development and the current status of the HQE, which just recently passed several non-trivial experimental tests with an unprecedented precision. In view of many new experimental results for lifetimes of heavy hadrons, we also update several theory predictions: $\\tau (B^+) / \\tau (B_d) = 1.04^{+0.05}_{-0.01} \\pm 0.02 \\pm 0.01$, $\\tau (B_s) / \\tau (B_d) = 1.001 \\pm 0.002$, $\\tau (\\Lambda_b)/ \\tau (B_d) = 0.935 \\pm 0.054$ and $\\bar {\\tau} (\\Xi_b^0) / \\bar{\\tau} (\\Xi_b^+) = 0.95 \\pm 0.06$. The theoretical precision is currently strongly limited by the unknown size of the non-perturbative matrix elements of four-quark operators, which could be determined with lattice simulations.", "revisions": [ { "version": "v1", "updated": "2014-05-14T17:59:59.000Z", "comment": "53 pages, invited contribution to the Kolya Uraltsev Memorial Book; comments are welcome", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-12-18T18:15:44.000Z" } ], "analyses": { "keywords": [ "heavy quark expansion", "hadrons containing heavy quarks", "non-trivial experimental tests", "inclusive weak decays", "lattice simulations" ], "note": { "typesetting": "TeX", "pages": 53, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1296083, "adsabs": "2014arXiv1405.3601L" } } }