arXiv 2203.100992022-03-18hep-phhep-exhep-lat

不含$|V_{cb}|$和$|V_{ub}|$的罕见$K$和PDMATHAAB衰变的标准模型预测

Standard Model Predictions for Rare $K$ and $B$ Decays without $|V_{cb}|$ and $|V_{ub}|$ Uncertainties

Andrzej J. Buras, Elena Venturini

备注：: 9 pages, 2 Figures, CKM Workshop 2021, 22-26 November 2021, Melbourne, Australia and the DISCRETE2020-2021 Conference

摘要：

$|V_{cb}|$和$|V_{ub}|$的包容性和排他性决定之间的持续紧张关系削弱了理论上干净的稀有$K$和$B$衰变在寻找新物理学（NP）中的力量。我们演示了如何这种不确定性，可以实际上通过考虑SM内的各种分支比的合适的比例。这包括$K^+\toπ^+ν\barν$、$K_{L}\toπ^0ν\barν$、$K_S\toμ^+μ^-$、$B_{s,d}\toμ^+μ^-$和$B\to K(K^*)ν\barν$的分支比。此外，$ε_K$，$ΔM_d$，$ΔM_s$和混合诱导的CP不对称$S_{ψK_S}$，都已经非常精确地测量，在这个分析中发挥重要作用。我们分析的重点是16个$|V_{cb}|$和$|V_{ub}|$独立比率，它们通常独立于CKM参数或仅取决于酉三角中的$β$和$γ$的角度，$β$已经精确已知，$γ$将在未来几年由LHCb和Belle II合作精确测量。一旦$γ$被精确测量，这16个比率将有望成为寻找新物理学的有力工具。假设在$|ε_K|$和$S_{ψK_S}$中没有NP，我们独立于$|V_{cb}|$确定：$\mathcal{B}(K^+\toπ^+ν\barν)_\text{SM}= (8.60\pm0.42)\times 10^{-11}$和$\mathcal{B}(K_L\toπ^0ν\barν)_\text{SM}=(2.94\pm 0.15)\times 10^{-11}$。这是迄今为止最精确的测定。假设没有NP在$ΔM_{s,d}$允许获得类似的结果，所有$B$衰变分支比在我们的论文中考虑没有任何CKM的不确定性。

英文摘要：

The persistent tensions between inclusive and exclusive determinations of $|V_{cb}|$ and $|V_{ub}|$ weaken the power of theoretically clean rare $K$ and $B$ decays in the search for new physics (NP). We demonstrate how this uncertainty can be practically removed by considering within the SM suitable ratios of various branching ratios. This includes the branching ratios for $K^+\toπ^+ν\barν$, $K_{L}\toπ^0ν\barν$, $K_S\toμ^+μ^-$, $B_{s,d}\toμ^+μ^-$ and $B\to K(K^*)ν\barν$. Also $ε_K$, $ΔM_d$, $ΔM_s$ and the mixing induced CP-asymmetry $S_{ψK_S}$, all measured already very precisely, play an important role in this analysis. The highlights of our analysis are 16 $|V_{cb}|$ and $|V_{ub}|$ independent ratios that often are independent of the CKM arameters or depend only on the angles $β$ and $γ$ in the Unitarity Triangle with $β$ already precisely known and $γ$ to be measured precisely in the coming years by the LHCb and Belle II collaborations. Once $γ$ Once $γ$ is measured precisely these 16 ratios taken together are expected to be a powerful tool in the search for new physics. Assuming no NP in $|ε_K|$ and $S_{ψK_S}$ we determine independently of $|V_{cb}|$: $\mathcal{B}(K^+\toπ^+ν\barν)_\text{SM}= (8.60\pm0.42)\times 10^{-11}$ and $\mathcal{B}(K_L\toπ^0ν\barν)_\text{SM}=(2.94\pm 0.15)\times 10^{-11}$. This are the most precise determinations to date. Assuming no NP in $ΔM_{s,d}$ allows to obtain analogous results for all $B$ decay branching ratios considered in our paper without any CKM uncertainties.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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