Heavy quark physics with anisotropic lattice QCD

B介子弱矩阵元素的精确计算对于检验标准模型及其他模型至关重要，但晶格QCD模拟存在大B夸克质量的离散误差。为了避免这个问题，有两种方法：“各向异性晶格”和“晶格HQET”被认为是晶格上重夸克的有前途的表述。在本课题中，我们研究了如何构建“各向异性晶格”和“晶格HQET”。我们还研究了相关的现象学问题。Matsufuru和Onogi提出了一种非微扰精度确定三个各向异性参数的方法。特别地，我们发现介子相关器和有限体积内的PCAC关系可以有效地确定跳变参数的各向异性和色电项系数两个参数。研究了一种非扰动确定1/M修正项系数的方法。发现具有扭曲边界条件的重-轻介子相关子可以精确地确定HQET的动力学项系数。小野木还研究了以下现象学问题。猝灭晶格QCD2中五夸克态的存在性。利用B→π 1 nu形式因子，利用色散边界从晶格和B工厂数据中确定CKM元素|Vub|的新方法。用HQET全对全传播子法精确确定B^*B π耦合。Terasaki研究了Babar和Belle实验新发现的Ds0束缚态。他提出了一种新颖的解释，即I=1的四夸克态，这对辐射衰变给出了独特的预测。他还考虑了一种可能的生产机制。

Precise computation of the B meson weak matrix elements are important for testing the standard model and beyond, but t lattice QCD simulation suffers from discretization error from large b-quark mass. To avoid this problem, two approaches i.e. "anisotropic lattice" and "lattice HQET" are considered to be a promising formulations for heavy quark on the lattice. In this research project, we studied how to formulate "anisotropic lattice" and "lattice HQET". We also studied related phenomenological problems.Matsufuru and Onogi proposed a method to determine the three anisotropic parameters with nonperturbative accuracy. In particular, it was found that meson correlators and PCAC relation in finite volumes can efficiently determine the two of the parameters, i.e. anisotropy of the hopping parameter and the coefficients chromo-electric term. They also studied a method to determine the coefficient of 1/M correction term nonperturbatively. It was found that heavy-light Meson correlators with twisted boundary conditions can precisely determine the kinetic term coefficients of HQET.Onogi also studied the following phenomenological problems.1. Existence of Penta quark states in quenched lattice QCD2. A new method to determined CKM elements |Vub| using B→ pi 1 nu form factors from lattice and B factory data with the help of dispersive bounds.3. Precise determination of B^*B pi coupling using all-to-all propagator method with HQET.Terasaki studied Ds0 bound state which was newly found by Babar and Belle experiments. He proposed a novel interprestation as a four quark state with I=1, which gives a unique prediction about radiative decay. He also considered a possible production mechanism.