标题： 介子矩阵元中涉及u、d和s夸克的味对称性破缺模式 显示英文标题

标题： Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks

摘要： 通过考虑在SU(3)味对称点附近的味展开，我们研究了在SU(3)由于夸克质量差异被破坏后，味盲性如何限制八重态重子矩阵元。 类似于强子质量，我们发现展开沿一个保持单态夸克质量恒定的质量轨迹受到约束，这为味对称性破缺的机制提供了宝贵的见解，并有助于外推到物理点。 展开式给出到展开参数的三阶。 考虑更高阶将不会对展开参数施加进一步的约束。 还给出了展开系数与三点关联函数中夸克线连接和夸克线分离项的关系。 由于我们考虑的是威尔逊油菜型费米子，也讨论了改进系数的添加，并显示其包含在此处开发的形式中。 作为该方法的一个例子，我们通过向量第一类形式因子的味守恒矩阵元的格点计算对其进行数值研究。 显示英文摘要

摘要： By considering a flavour expansion about the SU(3)-flavour symmetric point, we investigate how flavour-blindness constrains octet baryon matrix elements after SU(3) is broken by the mass difference between quarks. Similarly to hadron masses we find the expansions to be constrained along a mass trajectory where the singlet quark mass is held constant, which provides invaluable insight into the mechanism of flavour symmetry breaking and proves beneficial for extrapolations to the physical point. Expansions are given up to third order in the expansion parameters. Considering higher orders would give no further constraints on the expansion parameters. The relation of the expansion coefficients to the quark-line-connected and quark-line disconnected terms in the 3-point correlation functions is also given. As we consider Wilson clover-like fermions, the addition of improvement coefficients is also discussed and shown to be included in the formalism developed here. As an example of the method we investigate this numerically via a lattice calculation of the flavour-conserving matrix elements of the vector first class form factors.