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arXiv 0801.1796hep-ph
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再论$B \to π$形状因子的光锥求和规则

Light-cone sum rules for $B \to π$ form factors revisited

G. Duplancic, A. Khodjamirian, Th. Mannel, B. Melic, N. Offen

摘要:

我们重新考虑并更新了$B\to π$形状因子的QCD光锥求和规则。计算了关联函数中twist-2和twist-3项的胶子辐射修正。采用了$\bar{MS}$ $b$ -夸克质量,而不是以前分析中使用的单圈极点质量。$f^+_{Bπ}(q^2)$的光锥求和规则适用于$B\to πl ν_l$中测得的$q^2$ -分布,固定具有最大不确定性的输入参数:π分布振幅的盖根鲍尔矩。对于零动量传递的$B\to π$矢量形状因子,我们预测$f^+_{Bπ}(0)= 0.26^{+0.04}_{-0.03}$。结合实验中提取的产物$|V_{ub}f^+_{Bπ}(0)|$的值,得到$|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1) \times 10^{-3}$。此外,计算标量和企鹅$B\to π$形状因子$f^0_{Bπ}(q^2)$和$f^T_{Bπ}(q^2)$。

英文摘要:

We reconsider and update the QCD light-cone sum rules for $B\to π$ form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The $\bar{MS}$ $b$-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for $f^+_{Bπ}(q^2)$ is fitted to the measured $q^2$-distribution in $B\to πl ν_l$, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the $B\to π$ vector form factor at zero momentum transfer we predict $f^+_{Bπ}(0)= 0.26^{+0.04}_{-0.03}$. Combining it with the value of the product $|V_{ub}f^+_{Bπ}(0)|$ extracted from experiment, we obtain $|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1) \times 10^{-3}$. In addition, the scalar and penguin $B\to π$ form factors $f^0_{Bπ}(q^2)$ and $f^T_{Bπ}(q^2)$ are calculated.

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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