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arXiv 0705.1809hep-lat
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重夸克有效理论中色磁算符的非微扰重整化和B* - B质量分裂

Non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and the B* - B mass splitting

Damiano Guazzini, Harvey B. Meyer, Rainer Sommer

摘要:

本文对重夸克有效理论中的色磁算符进行了非微扰重整化。在展开的1/m阶,算符负责赝标和矢量B介子之间的质量分裂。我们在一个Schr“odinger泛函方案中,通过一个循环变换到格点MS方案和MS-bar方案,得到了它的双循环反常维数.然后,我们在N_f=0理论中,非微扰地计算了该算符在$μ\approx 0.3$ GeV和$μ\approx 100$ GeV之间的标度演化,其中与微扰理论相联系。给出了Wilson规范作用量和重夸克作用量的两个标准离散化的总重整化因子,该因子将裸格点算符转化为重整化群不变形式.作为一个应用,我们发现,这个因素带来的B* - B的质量分裂更接近实验值比发现微扰重整化之前淬火的预测。同样的重整化因子也适用于Eichten和Feinberg的自旋相关势。

英文摘要:

We carry out the non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory. At order 1/m of the expansion, the operator is responsible for the mass splitting between the pseudoscalar and vector B mesons. We obtain its two-loop anomalous dimension in a Schr"odinger functional scheme by successive one-loop conversions to the lattice MS scheme and the MS-bar scheme. We then compute the scale evolution of the operator non-perturbatively in the N_f=0 theory between $μ\approx 0.3$ GeV and $μ\approx 100$ GeV, where contact is made with perturbation theory. The overall renormalization factor that converts the bare lattice operator to its renormalization group invariant form is given for the Wilson gauge action and two standard discretizations of the heavy-quark action. As an application, we find that this factor brings the previous quenched predictions of the B* - B mass splitting closer to the experimental value than found with a perturbative renormalization. The same renormalization factor is applicable to the spin-dependent potentials of Eichten and Feinberg.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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