论文标题
美的瓦解：精确研究
Disintegration of beauty: a precision study
论文作者
论文摘要
我们更新了重型夸克扩展（HQE）内的$ B $ -Meson寿命的标准模型（SM）预测。包括达尔文运营商的贡献，su（3）$ _ f $ break to Break to in to dimension-six-six四夸克操作员的矩阵元素和所谓的远程合同，我们获得的总宽度$γ（b^+）=（0.58^{0.58^{+0.11}} \ mbox {ps}^{ - 1} $，$γ（b_d）=（0.63^{+0.11} _ { - 0.07}）\，\ Mbox {ps}^{ - 1} $，$γ（B_S） \ mbox {ps}^{ - 1} $，对于寿命比$τ（b^+） /τ（b_d）= 1.086 = 1.086 \ pm 0.022 $，$τ（b_s） /τ（b_d）= 1.003 = 1.003 \ pm 0.006 \ pm 0.006 \，（1.028 \ pm 0.011）$。最后可观察的两个值是由对非扰动参数的两组输入$μ_π^2（b_d）$，$μ_g^2（b_d）$和$ρ_d^3（b_d）$以及来自su（3）$ _ f $ break in thuce of sum breaking in thuce of tum breaking的估计。总体而言，我们的结果与相应的实验数据非常吻合，但是，当考虑第二组输入参数时，似乎会出现$τ（b_s）/τ（b_d）$的张力。具体而言，此观察值对参数$ρ_d^3（b_d）$的大小和su（3）$ _ f $ breaking效果的大小非常敏感，$μ_π^2 $，$μ_g^2 $和$ρ_d$ and $ρ_d^3 $;因此，能够更好地限制所有这些参数至关重要。在这方面，提取$μ_π^2（b_s），μ_g^2（b_s），ρ_d^3（b_s）$从未来的实验数据中提取，包括包含的半蛋白质$ b_s $ -Meson衰减或从直接的非扰动计算中提取，并从$ρ_D^3（b）上的$ρ_D^3（b）的价值更具启发性，并从直接的非逆转计算中提取。相应的理论不确定性。
We update the Standard Model (SM) predictions for $B$-meson lifetimes within the heavy quark expansion (HQE). Including for the first time the contribution of the Darwin operator, SU(3)$_F$ breaking corrections to the matrix element of dimension-six four-quark operators and the so-called eye-contractions, we obtain for the total widths $Γ(B^+) = (0.58^{+0.11}_{-0.07}) \, \mbox{ps}^{-1}$, $Γ(B_d) = (0.63^{+0.11}_{-0.07}) \, \mbox{ps}^{-1}$, $Γ(B_s) = (0.63^{+0.11}_{-0.07}) \, \mbox{ps}^{-1}$, and for the lifetime ratios $τ(B^+) / τ(B_d) = 1.086 \pm 0.022$, $τ(B_s) / τ(B_d) = 1.003 \pm 0.006 \, (1.028 \pm 0.011)$. The two values for the last observable arise from using two different sets of input for the non-perturbative parameters $μ_π^2(B_d)$, $μ_G^2(B_d)$, and $ρ_D^3(B_d)$ as well as from different estimates of the SU(3)$_F$ breaking in these parameters. Our results are overall in very good agreement with the corresponding experimental data, however, there seems to emerge a tension in $τ(B_s)/τ(B_d)$ when considering the second set of input parameters. Specifically, this observable is extremely sensitive to the size of the parameter $ρ_D^3 (B_d)$ and of the SU(3)$_F$ breaking effects in $μ_π^2$, $μ_G^2$ and $ρ_D^3$; hence, it is of utmost importance to be able to better constrain all these parameters. In this respect, an extraction of $μ_π^2 (B_s), μ_G^2 (B_s), ρ_D^3 (B_s)$ from future experimental data on inclusive semileptonic $B_s$-meson decays or from direct non-perturbative calculations, as well as more insights about the value of $ρ_D^3 (B)$ extracted from fit, would be very helpful in reducing the corresponding theory uncertainties.
