{ "id": "1508.05287", "version": "v1", "published": "2015-08-21T14:48:37.000Z", "updated": "2015-08-21T14:48:37.000Z", "title": "Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules", "authors": [ "Goran Duplancic", "Blazenka Melic" ], "comment": "36 pages, 9 figures", "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "abstract": "In the framework of the QCD light-cone sum rules (LCSRs) we present the analysis of all $B, B_{s}\\to \\eta^{(\\prime)}$ and $D, D_{s}\\to \\eta^{(\\prime)}$ form factors ($f^+, f^0$ and $f^T$) by including $m_{\\eta^{(\\prime)}}^2$ corrections in the leading (up to the twist-four) and next-to-leading order (up to the twist-three) in QCD, and two-gluon contributions to the form factors at the leading twist. The SU(3)-flavour breaking corrections and the axial anomaly contributions to the distribution amplitudes are also consistently taken into account. The complete results for the $f^0$ and $f^T$ form factors of $B,B_s \\to \\eta^{(\\prime)}$ and $D, D_{s} \\to \\eta^{(\\prime)}$ relevant for processes like $B \\to \\eta^{(\\prime)} \\tau \\nu_{\\tau}$ or $B_{s} \\to \\eta^{(\\prime)} l^+ l^-$ are given for the first time, as well as the two-gluon contribution to the tensor form factors. The values obtained for the $f^+$ form factors are as follows: $f^+_{B\\eta}(0)= 0.168^{+0.042}_{-0.047}$, $|f^+_{B_s\\eta}(0)|= 0.212^{+0.015}_{-0.013}$, $f^+_{B\\eta^\\prime}(0)= 0.130^{+0.036}_{-0.032}$, $f^+_{B_s\\eta^\\prime}(0)= 0.252^{+0.023}_{-0.020}$ and $f^+_{D\\eta}(0)= 0.429^{+0.165}_{-0.141}$, $|f^+_{D_s\\eta}(0)|= 0.495^{+0.030}_{-0.029}$, $f^+_{D\\eta^\\prime}(0)= 0.292^{+0.113}_{-0.104}$, $f^+_{D_s\\eta^\\prime}(0)= 0.558^{+0.047}_{-0.045}$. Also phenomenological predictions for semileptonic $B, B_{s}\\to \\eta^{(\\prime)}$ and $D, D_{s}\\to \\eta^{(\\prime)}$ decay modes are given.", "revisions": [ { "version": "v1", "updated": "2015-08-21T14:48:37.000Z" } ], "analyses": { "keywords": [ "qcd light-cone sum rules", "transitions", "two-gluon contribution", "tensor form factors", "corrections" ], "publication": { "doi": "10.1007/JHEP11(2015)138", "journal": "Journal of High Energy Physics", "year": 2015, "month": "Nov", "volume": 2015, "pages": 138 }, "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015JHEP...11..138D", "inspire": 1388867 } } }