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arXiv 2203.14652hep-ph
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$B_d^0\to J/ψK^0_S$和$B_s^0\to J/ψϕ$中的企鹅效应

Penguin Effects in $B_d^0\to J/ψK^0_S$ and $B_s^0\to J/ψϕ$

Marten Z. Barel, Kristof De Bruyn, Robert Fleischer, Eleftheria Malami

摘要:

控制来自衰变$B_d^0\to J/ψK^0_S$和$B_s^0\to J/ψϕ$中的双重Cabibbo抑制企鹅拓扑的贡献是强制性的,以在$B^0_q$ - $\bar B^0_q$($q=d,s$)混合相$ϕ_d$和$ϕ_s$的测量中达到最高可能的精度。企鹅的贡献可以使用基于QCD的$SU(3)$味对称性的策略来确定。使用最新的实验数据,我们更新了我们的衰变$B_d^0\to J/ψK^0_S$,$B_s^0\to J/ψϕ$和它们的控制通道$B_s^0\to J/ψK^0_S$,$B_d^0\to J/ψπ^0$和$B_d^0\to J/ψρ^0$的组合分析。这使我们能够同时确定企鹅参数和两个混合阶段。我们讨论了这些衰变的分支分数如何可以用来探测不可分解的$SU(3)$破坏效应的大小,这形成了与我们的$SU(3)$为基础的策略相关的主要理论不确定性,并提供了新的见解因子分解方法。

英文摘要:

Controlling the contributions from doubly Cabibbo-suppressed penguin topologies in the decays $B_d^0\to J/ψK^0_S$ and $B_s^0\to J/ψϕ$ is mandatory to reach the highest possible precision in the measurement of the $B^0_q$--$\bar B^0_q$ ($q=d,s$) mixing phases $ϕ_d$ and $ϕ_s$. The penguin contributions can be determined using a strategy based on the $SU(3)$ flavour symmetry of QCD. Using the latest experimental data, we update our combined analysis of the decays $B_d^0\to J/ψK^0_S$, $B_s^0\to J/ψϕ$ and their control channels $B_s^0\to J/ψK^0_S$, $B_d^0\to J/ψπ^0$ and $B_d^0\to J/ψρ^0$. This allows us to simultaneously determine the penguin parameters and both mixing phases. We discuss how the branching fractions of these decays can be used to probe the size of non-factorisable $SU(3)$-breaking effects, which form the main theoretical uncertainty associated with our $SU(3)$-based strategy, and provide new insights into the factorisation approach.

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