K to p p decay amplitudes from lattice QCD
K to p p decay amplitudes from lattice QCD
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晶格 QCD 的 K 到 p p 衰减幅度
DOI：
10.1103/physrevd.84.114503
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发表时间：
2011
影响因子：
5
通讯作者：
Blum T
中科院分区：
文献类型：
--
作者：
Blum T
本文报道了一种直接计算畴壁费米子和振幅的衰变矩阵元的方法.这是一个完整的计算，其中所需的10个四夸克算符的所有收缩都得到了评估，包括不连通图，其中没有夸克线连接初始K介子和最终2 π介子态。这些晶格运营商的非微扰重整化使用的E-Southampton方法和二次发散进行了研究和删除。这是一个重要但非常困难的计算，需要大量的统计数据。在本文中，我们通过在k介子静止系中对质量为422 MeV的静止π子进行非物理运动学的完整计算，在物理振幅的计算方面迈出了重要一步。通过这种简化，我们能够第一次从零开始解析，统计误差为25%，并且可以开发和评估计算完整的复振幅的方法，这是理解规则和测试k介子系统中违反标准模型的核心计算。
We report a direct lattice calculation of thetodecay matrix elements for both theandamplitudesandonflavor, domain wall fermion,lattices. This is a complete calculation in which all contractions for the required ten, four-quark operators are evaluated, including the disconnected graphs in which no quark line connects the initial kaon and final two-pion states. These lattice operators are nonperturbatively renormalized using the Rome-Southampton method and the quadratic divergences are studied and removed. This is an important but notoriously difficult calculation, requiring high statistics on a large volume. In this paper, we take a major step toward the computation of the physicalamplitudes by performing a complete calculation at unphysical kinematics with pions of mass 422 MeV at rest in the kaon rest frame. With this simplification, we are able to resolvefrom zero for the first time, with a 25% statistical error and can develop and evaluate methods for computing the complete, complex amplitude, a calculation central to understanding therule and testing the standard model ofviolation in the kaon system.