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arXiv 1402.2909hep-ph
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无Charmless B -> PPP衰变:全对称末态

Charmless B -> PPP Decays: the Fully-Symmetric Final State

Bhubanjyoti Bhattacharya, Michael Gronau, Maxime Imbeault, David London, Jonathan L. Rosner

摘要:

在无粲B -> PPP衰变中,P是赝标介子,末态对称性有六种可能。在本文中,我们研究了P=pi,K的全对称末态的性质。我们给出了所有32个B -> PPP衰变振幅的表达式,作为SU(3)约化矩阵元和图的函数,证明了图和SU(3)的等价性。我们还给出了SU(3)极限中振幅之间的25种关系,以及忽略E/A/PA图时出现的关系。在SU(3)极限下,等式\sqrt{2} A(B+ -> K+ pi+ pi-)_{FS} = A(B+ -> K+ K+ K-)_{FS}和\sqrt{2} A(B+ -> pi+ K+ K-)_{FS} = A(B+ -> pi+ pi+ pi-)_{FS},其中FS表示完全对称的终态。这些提供了对LHCb协作组现在可以进行的标准模型的良好测试。

英文摘要:

In charmless B -> PPP decays, where P is a pseudoscalar meson, there are six possibilities for the symmetry of the final state. In this paper, for P=pi,K, we examine the properties of the fully-symmetric final state. We present expressions for all 32 B -> PPP decay amplitudes as a function of both SU(3) reduced matrix elements and diagrams, demonstrating the equivalence of diagrams and SU(3). We also give 25 relations among the amplitudes in the SU(3) limit, as well as those that appear when the diagrams E/A/PA are neglected. In the SU(3) limit, one has the equalities \sqrt{2} A(B+ -> K+ pi+ pi-)_{FS} = A(B+ -> K+ K+ K-)_{FS} and \sqrt{2} A(B+ -> pi+ K+ K-)_{FS} = A(B+ -> pi+ pi+ pi-)_{FS}, where FS denotes the fully-symmetric final state. These provide good tests of the standard model that can be carried out now by the LHCb Collaboration.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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