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含物理轻夸克的四味格点量子色动力学中的粲介子和轻赝标介子衰变常数

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks

A. Bazavov, C. Bernard, C. M. Bouchard, C. DeTar, D. Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, J. Kim, J. Komijani… 展开作者

A. Bazavov, C. Bernard, C. M. Bouchard, C. DeTar, D. Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, J. Kim, J. Komijani, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, E. T. Neil, J. N. Simone, R. Sugar, D. Toussaint, R. S. Van de Water, R. Zhou

备注：
v2: minor clarifications and additions; version published in Phys. Rev. D. (73 pages, 26 figures.)
发表信息：
Phys. Rev. D 90, 074509 (2014)
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摘要：

利用实验测定的$f_{π^+}$值进行归一化，计算了非猝灭格点量子色动力学中轻子衰变常数$f_{D^+}$、$f_{D_s}$和$f_{K^+}$以及夸克质量比$m_c/m_s$和$m_s/m_l$.我们使用MILC高度改进的交错夸克（HISQ）合奏与四个动力学夸克的味道-向上，向下，奇怪，和魅力-和物理和非物理值的轻海夸克质量。物理π介子的使用消除了手征外推的需要，从而消除了以前计算中的一个重要的不确定性来源。四个不同的晶格间距范围从$a\approx 0.06$调频$0.15$调频包括在分析中，以控制外推到连续极限。我们的主要结果是$f_{D^+} = 212.6(0.4)({}^{+1.0}_{-1.2})\ \mathrm{MeV}$、$f_{D_s} = 249.0(0.3)({}^{+1.1}_{-1.5})\ \mathrm{MeV}$和$f_{D_s}/f_{D^+} = 1.1712(10)({}^{+29}_{-32})$，其中误差分别为统计误差和总系统误差。我们的结果的魅力衰减常数和它们的比例的误差是大约2至4倍小于那些最精确的以前的晶格计算。我们还得到了$f_{K^+}/f_{π^+} = 1.1956(10)({}^{+26}_{-18})$，更新了我们以前的结果，并确定了夸克质量比$m_s/m_l = 27.35(5)({}^{+10}_{-7})$和$m_c/m_s = 11.747(19)({}^{+59}_{-43})$。当结合实验测量的衰变率，我们的研究结果导致精确的测定CKM矩阵元素$|V_{us}| = 0.22487(51) (29)(20)(5)$，$|V_{cd}|=0.217(1) (5)(1)$和$|V_{cs}|= 1.010(5)(18)(6)$，其中的错误是从这个计算的衰变常数，在实验衰变率的不确定性，结构相关的电磁校正，并在$|V_{us}|$的情况下，在$|V_{ud}|$的不确定性，分别。

英文摘要：

We compute the leptonic decay constants $f_{D^+}$, $f_{D_s}$, and $f_{K^+}$, and the quark-mass ratios $m_c/m_s$ and $m_s/m_l$ in unquenched lattice QCD using the experimentally determined value of $f_{π^+}$ for normalization. We use the MILC highly improved staggered quark (HISQ) ensembles with four dynamical quark flavors---up, down, strange, and charm---and with both physical and unphysical values of the light sea-quark masses. The use of physical pions removes the need for a chiral extrapolation, thereby eliminating a significant source of uncertainty in previous calculations. Four different lattice spacings ranging from $a\approx 0.06$ fm to $0.15$ fm are included in the analysis to control the extrapolation to the continuum limit. Our primary results are $f_{D^+} = 212.6(0.4)({}^{+1.0}_{-1.2})\ \mathrm{MeV}$, $f_{D_s} = 249.0(0.3)({}^{+1.1}_{-1.5})\ \mathrm{MeV}$, and $f_{D_s}/f_{D^+} = 1.1712(10)({}^{+29}_{-32})$, where the errors are statistical and total systematic, respectively. The errors on our results for the charm decay constants and their ratio are approximately two to four times smaller than those of the most precise previous lattice calculations. We also obtain $f_{K^+}/f_{π^+} = 1.1956(10)({}^{+26}_{-18})$, updating our previous result, and determine the quark-mass ratios $m_s/m_l = 27.35(5)({}^{+10}_{-7})$ and $m_c/m_s = 11.747(19)({}^{+59}_{-43})$. When combined with experimental measurements of the decay rates, our results lead to precise determinations of the CKM matrix elements $|V_{us}| = 0.22487(51) (29)(20)(5)$, $|V_{cd}|=0.217(1) (5)(1)$ and $|V_{cs}|= 1.010(5)(18)(6)$, where the errors are from this calculation of the decay constants, the uncertainty in the experimental decay rates, structure-dependent electromagnetic corrections, and, in the case of $|V_{us}|$, the uncertainty in $|V_{ud}|$, respectively.

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