{ "id": "hep-ph/0204212", "version": "v2", "published": "2002-04-18T07:45:57.000Z", "updated": "2002-06-11T06:43:15.000Z", "title": "Can the CP asymmetries in $B\\to ψK_S$ and $B\\to ψK_L$ differ?", "authors": [ "Yuval Grossman", "Alexander L. Kagan", "Zoltan Ligeti" ], "comment": "13 pages, revtex4. Minor changes. Version to appear in PLB", "journal": "Phys.Lett. B538 (2002) 327-334", "categories": [ "hep-ph" ], "abstract": "In the standard model the CP asymmetries in $B\\to \\psi K_S$ and $B\\to \\psi K_L$ are equal in magnitude and opposite in sign to very good approximation. We compute the order $\\epsilon_K$ corrections to each of these CP asymmetries and find that they give a deviation from $\\sin 2\\beta$ at the half percent level, which may eventually be measurable. However, the correction to $a_{CP}(B\\to \\psi K_S)+a_{CP}(B\\to \\psi K_L)$ due to $\\epsilon_K$ is further suppressed. The dominant corrections to this sum, at the few times $10^{-3}$ level, come from the $B$ lifetime difference, and CP violation in $B- \\bar B$ mixing and $B \\to \\psi K$ decay. New physics could induce a significant difference in the $\\sin(\\Delta m_B t)$ time dependence in the asymmetries if and only if the \"wrong-flavor\" amplitudes $B \\to \\psi \\bar K$ or $\\bar B \\to \\psi K$ are generated. A scale of new physics that lies well below the weak scale would be required. Potential scenarios are therefore highly constrained, and do not appear feasible. A direct test is proposed to set bounds on such effects.", "revisions": [ { "version": "v2", "updated": "2002-06-11T06:43:15.000Z" } ], "analyses": { "keywords": [ "cp asymmetries", "half percent level", "direct test", "potential scenarios", "weak scale" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/S0370-2693(02)02027-0" }, "note": { "typesetting": "RevTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "inspire": 585580 } } }