Osterwalder-Seiler tmQCD夸克的猝灭$B_K$参数和质量分裂离散化效应
Quenched $B_K$-parameter from Osterwalder-Seiler tmQCD quarks and mass-splitting discretization effects
摘要：
我们应用Osterwalder-Seiler版本的扭曲质量QCD来研究$B_K$参数，其中构成相关$ΔS =2$算符的四个夸克场中的三个以相同的扭曲角最大扭曲，而第四个具有相反符号的扭曲角.已知的是，该设置确保了裸$K^0$ - $\overline K^0$算子矩阵元素的自动改进和$ΔS =2$算子的乘法重整化，代价是通过离散化效应破坏$K^0$ - $\overline K^0$质量简并性。因此，两个主要的系统误差的$B_ K$测定威尔逊费米子保持在控制之下。与三叶草长期包括在费米子的行动，我们进行了可行性研究，并发现，在淬火近似下，显着改善的标度行为的$B_K$，较早的标准tmQCD测定。此外，我们详细研究的$K^0$ - $\overline K^0$质量分裂，这种方法的特点，并确认，在三叶草项的存在下，它大大减少了最大扭曲理论。
英文摘要：
We apply an Osterwalder-Seiler version of twisted mass QCD to a study of the $B_K$ parameter, in which three of the four quark fields making up the relevant $ΔS =2$ operator are maximally twisted with the same twist angle, while the fourth one has a twist angle of opposite sign. It is known that this setup ensures automatic improvement of the bare $K^0$-$\overline K^0$ operator matrix element and multiplicative renormalization of the $ΔS =2$ operator, at the price of breaking the $K^0$-$\overline K^0$ mass degeneracy by discretization effects. As a result, two dominant systematic errors of the $B_ K$ determination with Wilson fermions are kept under control. With the Clover term included in the fermion action, we perform a feasibility study and find, in the quenched approximation, a significant improvement of the scaling behaviour of $B_K$, compared to earlier standard tmQCD determinations. Moreover, we study in detail the $K^0$-$\overline K^0$ mass splitting that characterizes this approach and confirm that, in the presence of the Clover term, it is greatly reduced in a maximally twisted theory.
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