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arXiv 0710.2229hep-lat
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B介子矩阵元的精度

Precision for B-meson matrix elements

Damiano Guazzini, Rainer Sommer, Nazario Tantalo

摘要:

我们演示了如何HQET和B-物理学的步进标度法,由Tor Vergata组首创,可以结合起来,以达到进一步提高精度。所考虑的观测量是b夸克质量和B_s介子衰变常数。在猝灭格点量子色动力学中进行了演示。我们从一个小的体积,其中可以使用一个标准的O(a)-改进的相对论作用量的b-夸克,并计算两个步骤的标度函数的观察到的大体积的。在所有的步骤中,我们外推到连续极限,分别在HQET和QCD的质量低于m_b。物理点m_b然后通过连续体的插值得到1/m。基本的,预期和验证,功能是,步骤缩放功能有一个弱的质量依赖性,从而导致一个容易的插值到物理点。当r_0=0.5fm时,以实验的B_s和K质量作为输入,我们得到F_Bs=191(6)MeV,重整化群不变质量M_b=6.88(10)GeV,在MSbar方案中转化为m_b(m_b)=4.42(6)GeV。这种方法似乎非常有前途的全面QCD。

英文摘要:

We demonstrate how HQET and the Step Scaling Method for B-physics, pioneered by the Tor Vergata group, can be combined to reach a further improved precision. The observables considered are the mass of the b-quark and the B_s-meson decay constant. The demonstration is carried out in quenched lattice QCD. We start from a small volume, where one can use a standard O(a)-improved relativistic action for the b-quark, and compute two step scaling functions which relate the observables to the large volume ones. In all steps we extrapolate to the continuum limit, separately in HQET and in QCD for masses below m_b. The physical point m_b is then reached by an interpolation of the continuum results in 1/m. The essential, expected and verified, feature is that the step scaling fuctions have a weak mass-dependence resulting in an easy interpolation to the physical point. With r_0=0.5fm and the experimental B_s and K masses as input, we find F_Bs=191(6)MeV and the renormalization group invariant mass M_b=6.88(10)GeV, translating into m_b(m_b)=4.42(6)GeV in the MSbar scheme. This approach seems very promising for full QCD.

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