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arXiv 1004.0886hep-lat
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具有降低的模型依赖性的K->pi形状因子

K->pi form factors with reduced model dependence

P. A. Boyle, J. M. Flynn, A. Juttner, C. Kelly, C. Maynard, H. Pedroso de Lima, C. T. Sachrajda, J. M. Zanotti, RBC-UKQCD Collaboration

摘要:

在N_f=2+1动力学味的格点量子色动力学中,利用部分扭曲边界条件,计算了动量转移范围0 <~ q^2 <= q^2_{max}=(mK-mpi)^2内K->pi半轻子形状因子.用这种方法,我们能够确定f+(0),而无需在动量传递中进行任何插值,从而消除了一个系统误差源。这一研究证实了我们先前对奇异夸克质量依赖于标量形状因子的唯象分析。我们确定和估计潜在的显着NNLO效应的手征膨胀,指导外推的数据的物理点。我们的主要结果是f+(0)= 0.9599(34)(^{+31}_{-43})(14)$,其中第一个误差是统计的,第二个误差是由于晶格数据的手征外推的不确定性,最后一个误差是对潜在离散效应的估计。

英文摘要:

Using partially twisted boundary conditions we compute the K->pi semi-leptonic form factors in the range of momentum transfers 0 <~ q^2 <= q^2_{max}=(mK-mpi)^2 in lattice QCD with N_f=2+1 dynamical flavours. In this way we are able to determine f+(0) without any interpolation in the momentum transfer, thus eliminating one source of systematic error. This study confirms our earlier phenomenological ansatz for the strange quark mass dependence of the scalar form factor. We identify and estimate potentially significant NNLO effects in the chiral expansion that guides the extrapolation of the data to the physical point. Our main result is f+(0) = 0.9599(34)(^{+31}_{-43})(14)$, where the first error is statistical, the second error is due to the uncertainties in the chiral extrapolation of the lattice data and the last error is an estimate of potential discretisation effects.

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