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arXiv 0810.3145hep-lathep-exhep-ph
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Nf=2扭曲质量格点量子色动力学的赝标介子衰变常数f_K,f_D和f_Ds

Pseudoscalar meson decay constants f_K, f_D and f_Ds, from Nf=2 twisted mass Lattice QCD

The ETM Collaboration, B. Blossier, V. Lubicz, S. Simula, C. Tarantino

摘要:

本文用格点量子色动力学计算了N_f=2的动力学费米子的赝标介子衰变常数f_K、f_D和f_Ds。用改进的Symanzik规范作用量和最大扭曲时的扭曲质量费米子作用量进行了模拟。关于我们之前的研究(0709.4574 [hep-lat]),这里我们分析了三个晶格间距值的数据(a=0.10 fm,0.09 fm,0.07 fm),并进行了连续极限,我们已经包括在a=0.09 fm的数据与较轻的夸克质量(m_pi = 260 MeV)和更大的体积(L = 2.7 fm),因此在每个晶格间距处具有L >= 2.4 fm和m_pi*L >= 3.6。K ~-衰变常数f_K=(157.5 ± 0.8|_{stat.} +- 3.3|_{syst.})MeV,f_K/f_pi=1.205 ± 0.006|_{stat.} +- 0.025|_{syst.},与其它N_f=2和N_f=2+1格点计算结果符合得很好。对于D和D_s介子衰变常数,我们得到f_D=(205 ± 7|_{stat.} +- 7|_{syst.})MeV,与CLEO-c实验测量值和最近的N_f=2和N_f=2+1晶格计算值符合良好,且f_{Ds} =(248 +-3|_{stat.} +- 8|_{syst.})MeV的,相反,是2.3 sigma低于CLEO-c/BABAR实验平均值,确认目前的晶格计算和实验测量之间的紧张关系。

英文摘要:

We present the results of a lattice QCD calculation of the pseudoscalar meson decay constants f_K, f_D and f_Ds, performed with N_f=2 dynamical fermions. The simulation is carried out with the tree-level improved Symanzik gauge action and with the twisted mass fermionic action at maximal twist. With respect to our previous study (0709.4574 [hep-lat]), here we have analysed data at three values of the lattice spacing (a=0.10 fm, 0.09 fm, 0.07 fm) and performed the continuum limit, and we have included at a=0.09 fm data with a lighter quark mass (m_pi = 260 MeV) and a larger volume (L = 2.7 fm), thus having at each lattice spacing L >= 2.4 fm and m_pi*L >= 3.6. Our result for the kaon decay constant is f_K=(157.5 +- 0.8|_{stat.} +- 3.3|_{syst.}) MeV and for the ratio f_K/f_pi=1.205 +- 0.006|_{stat.} +- 0.025|_{syst.}, in good agreement with the other N_f=2 and N_f=2+1 lattice calculations. For the D and D_s meson decay constants we obtain f_D=(205 +- 7|_{stat.} +- 7|_{syst.}) MeV, in good agreement with the CLEO-c experimental measurement and with other recent N_f=2 and N_f=2+1 lattice calculations, and f_{Ds}=(248 +- 3|_{stat.} +- 8|_{syst.}) MeV that, instead, is 2.3 sigma below the CLEO-c/BABAR experimental average, confirming the present tension between lattice calculations and experimental measurements.

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