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arXiv 0710.2863hep-lat
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tmQCD静态极限中B_{B_s}混合参数矩阵元的第一个淬灭结果

First quenched results for the matrix elements of the B_{B_s} mixing parameter in the static limit from tmQCD

F. Palombi, M. Papinutto, C. Pena, H. Wittig

摘要:

本文报道了在猝灭格点量子色动力学中Delta B=2宇称奇四费米子算符的乘法重正化基的标度相关重正化因子的非微扰研究。我们还给出了与B_s介子混合参数有关的矩阵元的一些初步结果。在我们的晶格公式中,重夸克是在静态近似下处理的,而奇异夸克则属于完全扭曲的扭曲质量费米子的二重态,即扭曲角α = π/2。在这个框架中,负责混合的宇称偶Delta B=2四费米子算符在上述基上旋转到宇称奇算符的线性组合上。在薛定谔泛函边界条件下,从晶格算符中提取了静态B_s介子之间的物理矩阵元。我们观察到抑制激发态贡献的B_{B_s}混合参数和推测可能的解释。

英文摘要:

We report on a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of Delta B=2 parity-odd four-fermion operators in quenched lattice QCD. We also present some preliminary results of the matrix elements related to the mixing parameter of the B_s-meson. In our lattice formulation, the heavy quark is treated in the static approximation, while the strange one belongs to a doublet of twisted mass fermions at full twist, i.e. with twist angle alpha=pi/2. In this framework, the parity-even Delta B=2 four-fermion operators responsible for the mixing are rotated onto a linear combination of parity-odd operators in the above-mentioned basis. Their physical matrix elements between static B_s-mesons are extracted from lattice correlators with Schroedinger functional boundary conditions. We observe a suppression of excited state contributions to the B_{B_s} mixing parameter and speculate about possible explanations.

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