{ "id": "1306.2625", "version": "v4", "published": "2013-06-11T19:48:55.000Z", "updated": "2013-08-21T18:56:31.000Z", "title": "CP asymmetries in three-body B+- decays to charged pions and kaons", "authors": [ "Bhubanjyoti Bhattacharya", "Michael Gronau", "Jonathan L. Rosner" ], "comment": "References added and updated, to be published in Physics Letters B", "doi": "10.1016/j.physletb.2013.08.062", "categories": [ "hep-ph", "hep-ex" ], "abstract": "CP asymmetries have been measured recently by the LHCb collaboration in three-body $B^+$ decays to final states involving charged pions and kaons. Large asymmetries with opposite signs at a level of about 60% have been observed in $B^\\pm\\to \\pi^\\pm({\\rm or} K^\\pm)\\pi^+\\pi^-$ and $B^\\pm \\to \\pi^\\pm K^+K^-$ for restricted regions in the Dalitz plots involving $\\pi^+\\pi^-$ and $K^+K^-$ with low invariant mass. U-spin is shown to predict corresponding $\\Delta S=0$ and $\\Delta S=1$ asymmetries with opposite signs and inversely proportional to their branching ratios, in analogy with a successful relation predicted thirteen years ago between asymmetries in $B_s\\to K^-\\pi^+$ and $B^0 \\to K^+ \\pi^-$. We compare these predictions with the measured integrated asymmetries. Effects of specific resonant or non-resonant partial waves on enhanced asymmetries for low-pair-mass regions of the Dalitz plot are studied in $B^\\pm \\to \\pi^\\pm \\pi^+\\pi^-$. The closure of low-mass $\\pi^+\\pi^-$ and $K^+K^-$ channels involving only $\\pi\\pi \\leftrightarrow K\\bar K$ rescattering may explain by CPT approximately equal magnitudes and opposite signs measured in $B^\\pm\\to \\pi^\\pm\\pi^+\\pi^-$ and $B^\\pm \\to \\pi^\\pm K^+K^-$.", "revisions": [ { "version": "v4", "updated": "2013-08-21T18:56:31.000Z" } ], "analyses": { "keywords": [ "cp asymmetries", "charged pions", "opposite signs", "three-body", "dalitz plot" ], "tags": [ "journal article" ], "publication": { "journal": "Physics Letters B", "year": 2013, "month": "Oct", "volume": 726, "number": "1-3", "pages": 337 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1238121, "adsabs": "2013PhLB..726..337B" } } }