论文标题
稀有$ k $和$ b $衰减的独家愿景以及标准型号中的夸克混合
The Exclusive Vision of Rare $K$ and $B$ Decays and of the Quark Mixing in the Standard Model
论文作者
论文摘要
标准模型中稀有$ K $和$ b $衰减的分支比率的最常见预测是基于CKM元素$ | v_ {cb} | $和$ | v_ {ub {ub} | $，分别来自全球拟合，分别在其包容性和独家测定中。在本文中，我们遵循另一条路线。我们假设$ | v_ {cb} | $和$ | v_ {ub} | $的未来真实值既是独家确定，并将它们设置为FLAG中的最新确定。 SM预测的一种不寻常的模式来自这项研究，其中一些现有的紧张局势矮小，而新的紧张局势诞生。特别是使用hpqcd $ b^0_ {s，d} - \ bar b^0_ {s，d} $ HADRONES矩阵元素A $3.1σ$张力在$δm_s$中独立于$γ$。对于$ 60^\ circ \leγ\ le 75^\ circ $ $δm_d$ in4.0σ$和$1.1σ$之间的张力，在$ε_k$之间，在$5.2σ$和$2.1σ$之间。此外，在$ k^+\toπ^+bbarν$，$ k_l \toπ^0ν\barν$和$ b \ to k（k^*）ν\barν$衰减的情况下，新物理学的空间大大增加。我们将这种独特场景中的结果与混合方案进行了比较，其中$ | v_ {cb} | $在前一种情况下，由最新的包容性$ | v_ | v_ {cb} | $取代，并介绍了我们在两种情况下以$γ$的函数为useverables所考虑的所有观察到的依赖性。 We also compare the determination of $|V_{cb}|$ from $ΔM_s$, $ΔM_d$, $ε_K$ and $S_{ψK_S}$ using $B^0_{s,d}-\bar B^0_{s,d}$ hadronic matrix elements from LQCD with $2+1+1$ flavours, $2+1$口味及其平均水平。仅对于$ 2+1+1+1 $ case值的$β$和$γ$存在，因为找到$ | v_ {cb} | $的相同值：$ | v_ {cb} | = 42.6（4）\ times 10^{ - 3} $。反过来，这意味着$ b_s \toμ^+μ^ - $中的$2.7σ$异常。
The most common predictions for rare $K$ and $B$ decay branching ratios in the Standard Model are based on the CKM elements $|V_{cb}|$ and $|V_{ub}|$ resulting from global fits, that are in the ballpark of their inclusive and exclusive determinations, respectively. In the present paper we follow another route. We assume that the future true values of $|V_{cb}|$ and $|V_{ub}|$ will be both from exclusive determinations and set them equal to the most recent ones from FLAG. An unusual pattern of SM predictions results from this study with some existing tensions being dwarfed and new tensions being born. In particular using the HPQCD $B^0_{s,d}-\bar B^0_{s,d}$ hadronic matrix elements a $3.1σ$ tension in $ΔM_s$ independently of $γ$ is found. For $60^\circ\leγ\le 75^\circ$ the tension in $ΔM_d$ between $4.0σ$ and $1.1σ$ is found and in the case of $ε_K$ between $5.2σ$ and $2.1σ$. Moreover, the room for new physics in $K^+\toπ^+ν\barν$, $K_L\toπ^0ν\barν$ and $B\to K(K^*)ν\barν$ decays is significantly increased. We compare the results in this EXCLUSIVE scenario with the HYBRID one in which $|V_{cb}|$ in the former scenario is replaced by the most recent inclusive $|V_{cb}|$ and present the dependence of all observables considered by us in both scenarios as functions of $γ$. We also compare the determination of $|V_{cb}|$ from $ΔM_s$, $ΔM_d$, $ε_K$ and $S_{ψK_S}$ using $B^0_{s,d}-\bar B^0_{s,d}$ hadronic matrix elements from LQCD with $2+1+1$ flavours, $2+1$ flavours and their average. Only for the $2+1+1$ case values for $β$ and $γ$ exist for which the same value of $|V_{cb}|$ is found: $|V_{cb}|=42.6(4)\times 10^{-3}$. This in turn implies a $2.7σ$ anomaly in $B_s\toμ^+μ^-$.
