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The hadronic recoil mass spectrum in semileptonic \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $B$\end{document} decays and extracting \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $|V_{ub}|$\end{document} in a model-insensitive way
被引：0
|作者：
I. Bigi
R.D. Dikeman
N. Uraltsev
机构：
[1] Department of Physics,
[2] University of Notre Dame du Lac,undefined
[3] Notre Dame,undefined
[4] IN 46556,undefined
[5] USA
,undefined
[6] Theoretical Physics Institute,undefined
[7] University of Minnesota,undefined
[8] Minneapolis,undefined
[9] MN 55455
,undefined
[10] St.Petersburg Nuclear Physics Institute,undefined
[11] Gatchina,undefined
[12] St.Petersburg 188350,undefined
[13] Russia
,undefined
关键词：
Experimental Data;
Mass Spectrum;
Measurement Error;
Invariant Mass;
Heavy Quark;
D O I：
10.1007/s100529800783
中图分类号：
学科分类号：
摘要：
We present an extended discussion of the previously noted possibility to extract \documentclass[12pt]{minimal}
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\begin{document}
$|V_{ub}|$\end{document} from an analysis of the hadronic recoil mass spectrum in \documentclass[12pt]{minimal}
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$B\rightarrow X_u\,\ell \nu$\end{document} decays. Invariant mass spectra containing perturbative as well as nonperturbative corrections are given; their shape is manifestly sensitive to the three basic quantities \documentclass[12pt]{minimal}
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$\mu _\pi ^2$\end{document}, \documentclass[12pt]{minimal}
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$m_b$\end{document} and \documentclass[12pt]{minimal}
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$\alpha_s$\end{document}, whereas the total integrated rate is much less so. Only a small fraction of \documentclass[12pt]{minimal}
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$b\rightarrow u$\end{document} transitions generates a recoil mass \documentclass[12pt]{minimal}
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$M_X$\end{document} of at least \documentclass[12pt]{minimal}
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$M_D$\end{document}. Moreover we find that the fraction of events with \documentclass[12pt]{minimal}
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$M_X \leq 1.5\,\mbox{GeV}$\end{document} (to reject leakage from \documentclass[12pt]{minimal}
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$b \rightarrow c$\end{document} due to measurement errors) exhibits fairly little dependence on \documentclass[12pt]{minimal}
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$\mu_\pi^2$\end{document}, \documentclass[12pt]{minimal}
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$m_b$\end{document} and \documentclass[12pt]{minimal}
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$\alpha_s$\end{document}; \documentclass[12pt]{minimal}
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$|V_{ub}|$\end{document} can then be extracted in a largely model-insensitive way. This conclusion is based on the applicability of the OPE to actual semileptonic \documentclass[12pt]{minimal}
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$B$\end{document} decays. A direct cross-check of this assumption and a determination of the required basic parameters of the heavy quark expansion will be possible in the future with more experimental data.
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页码：453 / 461
页数：8
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