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arXiv 0812.4042hep-lathep-phnucl-th
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Nf = 2时扭曲质量格点量子色动力学中π介子的电磁形状因子

Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2

R. Frezzotti, V. Lubicz, S. Simula

摘要:

本文采用两种动力学扭曲Wilson夸克的树能级Symanzik改进规范作用量对π介子的电磁形状因子进行了格点计算。模拟的π介子质量范围约为260至580 MeV,并选择晶格盒的大小,以保证M L> 4。形状因子的准确结果得到使用所有到所有夸克传播子的随机过程进行评估。研究了π介子形状因子对动量的依赖性,直到四动量转移的平方Q ** 2~0.8 GeV ** 2,由于使用了扭曲边界条件,直到Q ** 2~0.05 GeV ** 2.体积和离散化对形状因子的影响似乎在统计误差范围内。我们的结果的介子质量,衰变常数和形状因子进行了分析,使用(连续)手征微扰理论在次-领先的顺序。π介子电荷半径的外推值为<r ** 2>{phys}= 0.456 +/-0.030(stat.)+/-0.024(系统)与实验结果吻合较好。外推的π形状因子值在Q ** 2~0.8 GeV ** 2范围内与实验值符合得很好,当Q ** 2> 0.3 GeV ** 2时,其不确定度与实验误差相当。相关的低能常数出现在手征展开的π形状因子提取从我们的晶格数据,这基本上来自一个单一的晶格间距,添加实验值的π标量半径的拟合过程。我们的研究结果与ChPT对π介子-π介子散射数据的分析结果以及我们合作的其他分析结果非常一致。

英文摘要:

We present a lattice calculation of the electromagnetic form factor of the pion obtained using the tree-level Symanzik improved gauge action with two flavors of dynamical twisted Wilson quarks. The simulated pion masses range approximately from 260 to 580 MeV and the lattice box sizes are chosen in order to guarantee that M L > 4. Accurate results for the form factor are obtained using all-to-all quark propagators evaluated by a stochastic procedure. The momentum dependence of the pion form factor is investigated up to values of the squared four-momentum transfer Q**2 ~ 0.8 GeV**2 and, thanks to the use of twisted boundary conditions, down to Q**2 ~ 0.05 GeV**2. Volume and discretization effects on the form factor appear to be within the statistical errors. Our results for the pion mass, decay constant and form factor are analyzed using (continuum) Chiral Perturbation Theory at next-to-next-to-leading order. The extrapolated value of the pion charge radius is <r**2>{phys} = 0.456 +/- 0.030(stat.) +/- 0.024(syst.) in nice agreement with the experimental result. The extrapolated values of the pion form factor agree very well with the experimental data up to Q**2 ~ 0.8 GeV**2 within uncertainties which become competitive with the experimental errors for Q**2 > 0.3 GeV**2. The relevant low-energy constants appearing in the chiral expansion of the pion form factor are extracted from our lattice data, which come essentially from a single lattice spacing, adding the experimental value of the pion scalar radius in the fitting procedure. Our findings are in nice agreement with the available results of ChPT analyses of pion-pion scattering data as well as with other analyses of our collaboration.

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