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arXiv 0902.3645hep-phhep-ex
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B --> K π + π衰变中的CP破坏和K介子-π相互作用

CP violation and kaon-pion interactions in B --> K pi+ pi- decays

B. El-Bennich, A. Furman, R. Kaminski, L. Lesniak, B. Loiseau, B. Moussallam

备注：
56 pages, 15 figures
发表信息：
Phys.Rev.D79:094005,2009; Erratum-ibid.D83:039903,2011
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摘要：

我们研究了B -> K π + π-三体衰变中的CP破坏和强K介子-π相互作用的贡献。我们将我们最近关于两π介子S波和P波相互作用效应的工作推广到相应的K介子-π介子相互作用。弱振幅的第一项来自QCD因子分解，第二项作为唯象贡献添加到QCD企鹅振幅。有效QCD系数包括首阶贡献加上次首阶顶点和企鹅修正。K介子-π介子对向真空跃迁的矩阵元，自然地出现在因子分解公式中，由奇怪的K π标量（S波）和矢量（P波）形状因子描述。这些都是由Muskhelishvili-Omnes耦合通道方程使用实验K介子-π介子T-矩阵元素，连同手征对称性和渐近QCD约束。从标量形状因子的研究中，发现K ~*_0（1430）衰变常数的模为（32 +/- 5）MeV。通过拟合额外的唯象振幅，再现了Belle和BaBar合作的最新数据的K π有效质量和螺旋角分布、B --> K*（892）π分支比和CP不对称性。我们还使用BaBar组对B 0和B 0 bar衰减幅度之间的相位差的新测量，以K*（892）pi。我们预测的B+/- -> K*_0（1430）pi+/-，K*_0（1430）--> K+/- pi-1+分支分数为（11.6 +/- 0.6）10^{-6}，小于两个合作分析的结果。对于中性B 0衰变，预测值为（11.1 ± 0.5）10^{-6}。为了减小B -> K*_0（1430）π分支分数实验测定中的系统不确定性，本文提出了一种新的参数化方法。

英文摘要：

We study CP violation and the contribution of the strong kaon-pion interactions in the three body B --> K pi+ pi- decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding kaon-pion ones. The weak amplitudes have a first term derived in QCD factorization and a second one as a phenomenological contribution added to the QCD penguin amplitudes. The effective QCD coefficients include the leading order contributions plus next-to-leading order vertex and penguins corrections. The matrix elements of the transition to the vacuum of the kaon-pion pairs, appearing naturally in the factorization formulation, are described by the strange K pi scalar (S-wave) and vector (P-wave) form factors. These are determined from Muskhelishvili-Omnes coupled channel equations using experimental kaon-pion T-matrix elements, together with chiral symmetry and asymptotic QCD constraints. From the scalar form factor study, the modulus of the K*_0(1430) decay constant is found to be (32 +/- 5) MeV. The additional phenomenological amplitudes are fitted to reproduce the K pi effective mass and helicity angle distributions, the B --> K*(892) pi branching ratios and the CP asymmetries of the recent data from Belle and BaBar collaborations. We use also the new measurement by the BaBar group of the phase difference between the B0 and B0bar decay amplitudes to K*(892) pi. Our predicted B+/- --> K*_0(1430) pi+/-, K*_0(1430) --> K+/- pi-\+ branching fraction, (11.6 +/- 0.6) 10^{-6}, is smaller than the result of the analyzes of both collaborations. For the neutral B0 decays, the predicted value is (11.1 +- 0.5) 10^{-6}. In order to reduce the large systematic uncertainties in the experimental determination of the B --> K*_0(1430) pi branching fractions, a new parametrization is proposed.

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