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arXiv 1409.3053hep-ph
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$ρ$介子纵向超前扭转分布振幅

The $ρ$-meson longitudinal leading-twist distribution amplitude

Hai-Bing Fu, Xing-Gang Wu, Hua-Yong Han, Yang Ma, Huan-Yu Bi

摘要:

本文提出了一个方便的矢量$ρ$介子纵向超前扭转分布振幅$ϕ_{2;ρ}^\|$的模型,它的分布由一个单参数$B^\|_{2;ρ}$控制。通过在相关器中选择合适的手征流,我们得到了$B\toρ$ TFF中$A_1$,$A_2$和$V$的新的光锥求和规则(LCSR),其中$δ^1$ -阶$ϕ_{2;ρ}^\|$起主导作用.然后通过这些$B\toρ$ TFF对$ϕ_{2;ρ}^\|$的性质进行了详细的讨论。适当地选择$B^\|_{2;ρ}$可以使所有的TFF都符合格点QCD预言。还通过使用外推的TFF提出了对$|V_{\rm ub}|$的预测,这表明较大的$B^{\|}_{2;ρ}$导致较大的$|V_{\rm ub}|$。为了与$|V_{\rm ub}|$的BABAR数据相比较,纵向引导扭转DA $ϕ_{2;ρ}^\|$倾向于双峰行为。

英文摘要:

In the present paper, we suggest a convenient model for the vector $ρ$-meson longitudinal leading-twist distribution amplitude $ϕ_{2;ρ}^\|$, whose distribution is controlled by a single parameter $B^\|_{2;ρ}$. By choosing proper chiral current in the correlator, we obtain new light-cone sum rules (LCSR) for the $B\toρ$ TFFs $A_1$, $A_2$ and $V$, in which the $δ^1$-order $ϕ_{2;ρ}^\|$ provides dominant contributions. Then we make a detailed discussion on the $ϕ_{2;ρ}^\|$ properties via those $B\toρ$ TFFs. A proper choice of $B^\|_{2;ρ}$ can make all the TFFs agree with the lattice QCD predictions. A prediction of $|V_{\rm ub}|$ has also been presented by using the extrapolated TFFs, which indicates that a larger $B^{\|}_{2;ρ}$ leads to a larger $|V_{\rm ub}|$. To compare with the BABAR data on $|V_{\rm ub}|$, the longitudinal leading-twist DA $ϕ_{2;ρ}^\|$ prefers a doubly-humped behavior.

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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