$K_{l3}$形式因子在$N_f = 2+1$ QCD在大体积的物理点上

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-02-01 DOI:10.22323/1.363.0186

J. Kakazu, K. Ishikawa, N. Ishizuka, Y. Kuramashi, Y. Nakamura, Y. Namekawa, Y. Taniguchi, N. Ukita, T. Yamazaki, T. Yoshi'e

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引用次数: 0

摘要

我们给出了空间范围大于$L=$10 fm的体积上的$K_{l3}$形状因子的结果，使用了在$a^{-1}\约x2.3$ GeV下的$N_f = 2+1$夸克作用和$ Iwasaki规范作用的物理介子和介子质量。基于SU(3)手性微扰理论中的次领先(NLO)公式，通过拟合得到零动量传递时的$K_{l3}$形状因子。我们估计了形状因子的系统误差，主要来自有限晶格间距效应。我们还结合实验结果确定了$|V_{us}|$的值，并检查了与标准模型预测的一致性。结果与以往的点阵计算结果进行了比较。

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$K_{l3}$ form factors in $N_f = 2+1$ QCD at physical point on large volume

We present our results of the $K_{l3}$ form factors on the volume whose spatial extent is more than $L=$10 fm, with the physical pion and kaon masses using the stout-smearing clover $N_f = 2+1$ quark action and Iwasaki gauge action at $a^{-1}\approx2.3$ GeV. The $K_{l3}$ form factor at zero momentum transfer is obtained from fit based on the next-to-leading (NLO) formula in SU(3) chiral perturbation theory. We estimate systematic errors of the form factor, mainly coming from the finite lattice spacing effect. We also determine the value of $|V_{us}|$ by combining our result with the experiment and check the consistency with the standard model prediction. The result is compared with the previous lattice calculations.

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Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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