Oktay-Kronfeld action的重夸克介子谱试验
Heavy-quark meson spectrum tests of the Oktay-Kronfeld action
摘要：
Oktay-Kronfeld（OK）作用量将费米实验室对大质量Wilson费米子的改进计划扩展到更高阶的合适的功率计数方案。它包括六维和七维算子，通过HQET功率计数中的顺序${\mathrm{O}}(Λ^3/m_Q^3)$匹配到QCD，用于应用于重光系统，以及NRQCD功率计数中的${\mathrm{O}}(v^6)$，用于应用于夸克偶。在连续极限附近格点规范理论的Symanzik幂次计数中，OK作用量包括全部的${\mathrm{O}}(a^2)$项和部分的${\mathrm{O}}(a^3)$项.为了评估理论上的改进是否在实践中实现，我们研究了重奇异质量和夸克质量的组合以及质量分裂，旨在隔离重夸克离散化效应。我们发现，除了一个例外，与树级匹配的OK行动所获得的结果是显着更接近的连续极限比费米实验室行动所获得的结果。唯一的例外是底部奇异系统的超精细分裂，我们的统计误差太大，无法得出确切的结论。这些研究是用蝌蚪改进的Fermilab和OK作用在MILC的$a\approx0.12$ ~fm、$N_f=2+1$ -flavor、asqtad-交错系综中的一个500规范配置上产生的数据进行的。
英文摘要：
The Oktay-Kronfeld (OK) action extends the Fermilab improvement program for massive Wilson fermions to higher order in suitable power-counting schemes. It includes dimension-six and -seven operators necessary for matching to QCD through order ${\mathrm{O}}(Λ^3/m_Q^3)$ in HQET power counting, for applications to heavy-light systems, and ${\mathrm{O}}(v^6)$ in NRQCD power counting, for applications to quarkonia. In the Symanzik power counting of lattice gauge theory near the continuum limit, the OK action includes all ${\mathrm{O}}(a^2)$ and some ${\mathrm{O}}(a^3)$ terms. To assess whether the theoretical improvement is realized in practice, we study combinations of heavy-strange and quarkonia masses and mass splittings, designed to isolate heavy-quark discretization effects. We find that, with one exception, the results obtained with the tree-level-matched OK action are significantly closer to the continuum limit than the results obtained with the Fermilab action. The exception is the hyperfine splitting of the bottom-strange system, for which our statistical errors are too large to draw a firm conclusion. These studies are carried out with data generated with the tadpole-improved Fermilab and OK actions on 500 gauge configurations from one of MILC's $a\approx0.12$~fm, $N_f=2+1$-flavor, asqtad-staggered ensembles.
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