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arXiv 1301.0919hep-phhep-lat
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有限体积中零动量转移时的K介子半轻子形状因子

Kaon semi-leptonic form factor at zero momentum transfer in finite volume

Karim Ghorbani, Hossein Ghorbani

摘要:

利用手征微扰理论,我们在一般动量转移$q^2$下,得到了有限体积中k介子半轻子矢量的形状因子,直到一个圈级。首先,我们证实了格点观察,即零动量转移时,重赝戈德斯通玻色子在有限体积修正中的贡献是不重要的。然后,我们评估的形状因子在$q^2=0$数值和比较我们的结果与目前的晶格数据。结果表明,我们的ChPT结果在一定程度上与晶格数据具有可比性。在动量转移$q^2$中获得的形状因子的有限体积修正公式为晶格数据提供了一种工具,以便在大晶格尺寸下进行外推。

英文摘要:

Using Chiral Perturbation Theory, we obtain the kaon semi-leptonic vector form factor in finite volume at a generic momentum transfer, $q^2$, up to one loop order. At first we confirm the lattice observation that the contribution of the heavy Pseudo-Goldstone boson in the finite volume corrections at zero momentum transfer is unimportant. We then evaluate the form factor at $q^2=0$ numerically and compare our results with the present lattice data. It turns out that our ChPT results are comparable with the lattice data to some extend. The formula for the finite volume corrections obtained for the form factor at momentum transfer $q^2$, provides a tool for lattice data in order to extrapolate at large lattice size.

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