论文标题
部分可观测时空混沌系统的无模型预测
On the Superiority of the $|V_{cb}|-γ$ Plots over the Unitarity Triangle Plots in the 2020s
论文作者
论文摘要
UT图已经在SM的测试和CKM参数的测试中发挥了重要作用。截至2022年，在四个CKM参数中，$ v_ {us} $和$β$已经以可观的精度来测量，而不是$ | v_ {cb} | $和$γ$的情况。在$ | v_ {cb} | $的情况下，主要障碍是其包容性和独家确定从树级衰减中的重大紧张关系。在未来几年中，LHCB和Belle II合作的目前的$γ$ $γ$ $ 4^\ Circ $将减少到$ 1^\ Circ $。不幸的是，在UT绘图中$ | v_ {cb} | $没有看到，并且很难欣赏到几个程度的树水平衰变的$γ$的实验改进。鉴于$ | v_ {cb} | $和$γ$的这些缺陷，以及这两个CKM参数将在这十年中扮演的核心作用，因此，最近提出的$ | v_ {cb} | $ vers $γ$从各种过程中提取的$ | v_ {cb} | $γ$的图似乎是口味质量学的优势。我们用$Δm_s$，$Δm_d$，$ε_k$和罕见衰减来说明这个想法，$ b_s \toμ^+μ^ - $，$ b_d \toμ^+μ^+μ^ - $，$ k^+\ to-k^+\toπ^+toπ^+b bar barv $ and $ k_l \ to po ttoπ^0ν\ barv $。 $ε_k$，$ k^+\toπ^+t \barν）$和$ k_ {l} \toπ^0ν\barν）$在确定$ | v_ {cb} | $的确定中，由于它们的强大依赖$ | v_ {cb} | $，以这种方式表现出来。再加上$γ$和$ | v_ {cb} | $的未来减少错误，从树级衰减中，这些图可以更好地在这两个参数的各种确定之间表现出可能的不一致，而不是新物理引起的，而不是在UT图中可能。
The UT plots played already for three decades an important role in the tests of the SM and the determination of the CKM parameters. As of 2022, among the four CKM parameters, $V_{us}$ and $β$ are already measured with respectable precision, while this is not the case of $|V_{cb}|$ and $γ$. In the case of $|V_{cb}|$ the main obstacle are the significant tensions between its inclusive and exclusive determinations from tree-level decays. The present uncertainty in $γ$ of $4^\circ$ from tree-level decays will be reduced to $1^\circ$ by the LHCb and Belle II collaborations in the coming years. Unfortunately in the UT plots $|V_{cb}|$ is not seen and the experimental improvements in the determination of $γ$ from tree-level decays at the level of a few degrees are difficult to appreciate. In view of these deficiencies of the UT plots with respect to $|V_{cb}|$ and $γ$ and the central role these two CKM parameters will play in this decade, the recently proposed plots of $|V_{cb}|$ versus $γ$ extracted from various processes appear to be superior to the UT plots in the flavour phenomenology. We illustrate this idea with $ΔM_s$, $ΔM_d$, $ε_K$ and with rare decays $B_s\toμ^+μ^-$, $B_d\toμ^+μ^-$, $K^+\to π^+ν\barν$ and $K_L\toπ^0ν\barν$. The power of $ε_K$, $K^+\toπ^+ν\barν)$ and $K_{L}\toπ^0ν\barν)$ in the determination of $|V_{cb}|$, due to their strong dependence on $|V_{cb}|$, is transparently exhibited in this manner. Combined with future reduced errors on $γ$ and $|V_{cb}|$ from tree-level decays such plots can better exhibit possible inconsistenices between various determinations of these two parameters, caused by new physics, than it is possible with the UT plots.
