论文标题
通过Oktay-Kronfeld动作改善重型和重型电流
Improvement of heavy-heavy and heavy-light currents with the Oktay-Kronfeld action
论文作者
论文摘要
CKM矩阵元素$ v_ {cb} $和$ v_ {ub} $可以通过将实验中的数据与晶状体QCD结合到$ \ bar {b} \ d^^\ ast ast ast \ ast \ ell \ bar的$ \ bar维$ and bar的半级别形式的结果来获得。 非常希望将Oktay-Kronfeld（OK）操作用于晶格上的表单要素计算，因为OK动作旨在将重量夸张的夸克离散误差降低到$ \ MATHCAL {O}（λ^4）$中的$ \ Mathcal {O}（λ^4）$级别的重量计数规则中的重量夸克有效理论（HQET）。 在这里，我们提出了一个匹配的计算，以将重型和重型电流提高到HQET的$λ^3 $订单，这与OK Action相同。我们的改进电流的最终结果已用于晶格QCD计算$ \ bar {b} \ to d^\ ast \ ell \barν$和$ \ bar {b} \ to d \ ell \barν$衰减的半左右形式。
The CKM matrix elements $V_{cb}$ and $V_{ub}$ can be obtained by combining data from the experiments with lattice QCD results for the semi-leptonic form factors for the $\bar{B} \to D^\ast \ell \barν$ and $\bar{B} \to π\ell \barν$ decays. It is highly desirable to use the Oktay-Kronfeld (OK) action for the form factor calculation on the lattice, since the OK action is designed to reduce the heavy quark discretization error down to the $\mathcal{O}(λ^4)$ level in the power counting rules of the heavy quark effective theory (HQET). Here, we present a matching calculation to improve heavy-heavy and heavy-light currents up to the $λ^3$ order in HQET, the same level of improvement as the OK action. Our final results for the improved currents are being used in a lattice QCD calculation of the semi-leptonic form factors for the $\bar{B} \to D^\ast \ell \barν$ and $\bar{B} \to D \ell \barν$ decays.
