论文标题
$ | v_ {cb} | $的确定使用n $^3 $ lo扰动更正到$γ（b \ to x_c \ellν）$和1S群众
Determination of $|V_{cb}|$ using N$^3$LO perturbative corrections to $Γ(B \to X_c \ell ν)$ and 1S masses
论文作者
论文摘要
我们使用三阶扰动系列确定$ | v_ {cb} | $，用于包含半蛋白的$ b $衰减宽度和底池1S状态的质量。我们将$η_b（1s）$和$υ（1s）$的质量用作短途群体，并指出两个1S质量方案之间存在$ | v_ {cb} | $的相当差异。这是我们确定的主要误差，并且源于理论上观察到的底部1S状态的质量分裂的不足。我们还研究了$ \ Mathcal {o}（λ_{\ overline {\ rm MS}}}^2）$在HQET中相对于当前的扰动精度而非扰动效应。我们的结果$ | v_ {cb} | = 0.0425（11）$与从包含衰减确定的PDG值一致，并且误差稍大。
We determine $|V_{cb}|$ using the third-order perturbative series for the inclusive semileptonic $B$ decay width and for the masses of the bottomonium 1S states. We use the masses of $η_b(1S)$ and $Υ(1S)$ as short-distance masses and point out that there is a sizable difference of $|V_{cb}|$ between the two 1S mass schemes. This is the dominant error of our determination and stems from insufficiency to describe theoretically the observed mass splitting of the bottomonium 1S states. We also study the significance of the $\mathcal{O}(Λ_{\overline{\rm MS}}^2)$ non-perturbative effects in HQET with respect to the current perturbative accuracy. Our result $|V_{cb}|=0.0425 (11)$ is consistent with the PDG value determined from the inclusive decays and has a slightly larger error.
