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arXiv 0802.3591hep-lathep-ph
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用拓扑零模波函数确定SU(4)手征极限中的$ΔS = 1$弱哈密顿量

Determination of the $ΔS = 1$ weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions

P. Hernandez, M. Laine, C. Pena, E. Torro, J. Wennekers, H. Wittig

摘要:

提出了一种确定$ΔS=1$弱哈密顿量低能耦合的新方法。它依赖于匹配的拓扑极点在$1/m^2$的三点的两个赝标密度和一个四费米子运营商,在格点量子色动力学测量,相同的观察量计算在手征微扰理论的$ε$制度。我们测试这种方法在一个理论与轻魅夸克,即与SU(4)味对称性。淬火数值测量中进行2 FM框,和手征微扰理论的预测工作到下一个领先的顺序。两侧的匹配允许确定SU(4)极限中的弱低能耦合。我们比较的结果与以前的测定,基于三点的双左手电流,并讨论了这两个程序的优点和缺点。

英文摘要:

A new method to determine the low-energy couplings of the $ΔS=1$ weak Hamiltonian is presented. It relies on a matching of the topological poles in $1/m^2$ of three-point correlators of two pseudoscalar densities and a four-fermion operator, measured in lattice QCD, to the same observables computed in the $ε$-regime of chiral perturbation theory. We test this method in a theory with a light charm quark, i.e. with an SU(4) flavour symmetry. Quenched numerical measurements are performed in a 2 fm box, and chiral perturbation theory predictions are worked out up to next-to-leading order. The matching of the two sides allows to determine the weak low-energy couplings in the SU(4) limit. We compare the results with a previous determination, based on three-point correlators containing two left-handed currents, and discuss the merits and drawbacks of the two procedures.

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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