arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.4600hep-lat
收藏

2+1味格点量子色动力学物理点上的粲夸克系统

Charm quark system at the physical point of 2+1 flavor lattice QCD

Y. Namekawa, S. Aoki, K. -I. Ishikawa, N. Ishizuka, T. Izubuchi, K. Kanaya, Y. Kuramashi, M. Okawa, Y. Taniguchi, A. Ukawa, N. Ukita, T. Yoshié

备注：
16 pages, 12 figures
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

利用相对论重夸克作用量研究了在$32^3 \times 64$晶格上产生的2+1味PACS-CS组态的粲夸克系统。动态上下和奇怪的夸克质量被设置为物理值，通过使用重加权的技术，从配置生成中使用的值移动夸克跳跃参数。在物理点处，晶格间距等于$a^{-1}=2.194(10)$ GeV和空间范围$L=2.88(1)$ fm。粲夸克质量由粲偶素1 S态的自旋平均质量确定，由此得到$m_{\rm charm}^{\msbar}(μ= m_{\rm charm}^{\msbar}) = 1.260(1)(6)(35)$ GeV，其中的误差是由统计量、标度确定和重整化因子引起的.重夸克的另一个系统误差为$α_s^2 f(m_Q a)(a Λ_{QCD})$阶，如果$m_Q a$中的$f(m_Q a)$解析因子为1阶，则估计为百分比水平。我们对粲介子和粲-奇介子衰变常数的计算结果分别为$f_D=226(6)(1)(5)$ MeV、$f_{D_s}=257(2)(1)(5)$ MeV，也达到了$α_s^2 f(m_Q a)(a Λ_{QCD})$级的重夸克误差。结合轻子衰变宽度的CLEO值，这些值产生$|V_{cd}| = 0.205(6)(1)(5)(9)$、$|V_{cs}| = 1.00(1)(1)(3)(3)$，其中最后一个误差是由于衰变宽度的实验不确定性。

英文摘要：

We investigate the charm quark system using the relativistic heavy quark action on 2+1 flavor PACS-CS configurations previously generated on $32^3 \times 64$ lattice. The dynamical up-down and strange quark masses are set to the physical values by using the technique of reweighting to shift the quark hopping parameters from the values employed in the configuration generation. At the physical point, the lattice spacing equals $a^{-1}=2.194(10)$ GeV and the spatial extent $L=2.88(1)$ fm. The charm quark mass is determined by the spin-averaged mass of the 1S charmonium state, from which we obtain $m_{\rm charm}^{\msbar}(μ= m_{\rm charm}^{\msbar}) = 1.260(1)(6)(35)$ GeV, where the errors are due to our statistics, scale determination and renormalization factor. An additional systematic error from the heavy quark is of order $α_s^2 f(m_Q a)(a Λ_{QCD})$, which is estimated to be a percent level if the factor $f(m_Q a)$ analytic in $m_Q a$ is of order unity. Our results for the charmed and charmed-strange meson decay constants are $f_D=226(6)(1)(5)$ MeV, $f_{D_s}=257(2)(1)(5)$ MeV, again up to the heavy quark errors of order $α_s^2 f(m_Q a)(a Λ_{QCD})$. Combined with the CLEO values for the leptonic decay widths, these values yield $|V_{cd}| = 0.205(6)(1)(5)(9)$, $|V_{cs}| = 1.00(1)(1)(3)(3)$, where the last error is on account of the experimental uncertainty of the decay widths.

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。

↑