标题： 在$m_B$和$f_{B^{(\star)}}$的$2+1$味QCD中从静态和相对论结果的组合得到的连续极限 显示英文标题

标题： $m_B$ and $f_{B^{(\star)}}$ in $2+1$ flavour QCD from a combination of continuum limit static and relativistic results

摘要： 我们展示了B物理的初步结果，这些结果结合了静态极限下的非微扰结果与满足$am_{\mathrm{heavy}}\ll 1$的相对论计算。在物理b夸克质量下，相对论测量是在一个$0.5 \ \mathrm{fm}$箱子中使用Schrödinger泛函进行的。它们通过步进尺度函数连接到大体积可观测量，该函数追踪物理粲区和静态极限之间的质量依赖关系，从而可以通过插值获得B物理结果；此过程旨在完全抵消大质量标度的麻烦$\alpha_s(m_{\mathrm{heavy}})^{n+\gamma}$校正。静态和相对论量的大体积计算使用了CLS$N_f=2+1$配置，在$m_u=m_d=m_s$处以及五个晶格间距值下，最小达到$0.039$fm。我们关于b夸克质量和轻子衰变常数的初步结果具有竞争性的不确定性，且这些不确定性主要由统计误差主导，因此未来有很大的改进空间。在这里我们专注于数值结果，而背后的策略将在相关贡献中讨论。 显示英文摘要

摘要： We present preliminary results for B-physics from a combination of non-perturbative results in the static limit with relativistic computations satisfying $am_{\mathrm{heavy}}\ll 1$. Relativistic measurements are carried out at the physical b-quark mass using the Schr\"{o}dinger Functional in a $0.5 \ \mathrm{fm}$ box. They are connected to large volume observables through step scaling functions that trace the mass dependence between the physical charm region and the static limit, such that B-physics results can be obtained by interpolation; the procedure is designed to exactly cancel the troublesome $\alpha_s(m_{\mathrm{heavy}})^{n+\gamma}$ corrections to large mass scaling. Large volume computations for both static and relativistic quantities use CLS $N_f=2+1$ ensembles at $m_u=m_d=m_s$, and with five values of the lattice spacing down to $0.039$ fm. Our preliminary results for the b-quark mass and leptonic decay constants have competitive uncertainties, which are furthermore dominated by statistics, allowing for substantial future improvement. Here we focus on numerical results, while the underlying strategy is discussed in a companion contribution.