The ratio of the $B_s^0$ and $B^{+}$ fragmentation fractions $f_s$ and $f_u$ is studied with $B_s^0\to J/\psi \varphi$ and $B^{+}\to J/\psi K^{+}$ decays using data collected by the LHCb experiment in proton-proton collisions at 7, 8, and 13 TeV center-of-mass energies. The analysis is performed in bins of $B$-meson momentum, longitudinal momentum, transverse momentum, pseudorapidity, and rapidity. The fragmentation-fraction ratio $f_s/f_u$ is observed to depend on the $B$-meson transverse momentum with a significance of $6.0\sigma$. This dependency is driven by the 13 TeV sample ($8.7\sigma$), while the results for the other collision energies are not significant when considered separately. Furthermore, the results show a $4.8\sigma$ evidence for an increase of $f_s/f_u$ as a function of collision energy.

中文翻译：

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质子-质子碰撞能量和B-介子运动学测量偏离/变化

比例 ${乙}_s^0$ 和 ${乙}^{+}$ 碎片分数 $F_s$ 和 $F_{ü}$ 被研究 ${乙}_s^0\to Ĵ/\psi \varphi$ 和 ${乙}^{+}\to Ĵ/\psi {ķ}^{+}$使用LHCb实验收集的数据在7、8和13 TeV质心能量的质子-质子碰撞中衰减。分析在以下位置进行$乙$-介子动量，纵向动量，横向动量，伪快速度和速度。碎片率$F_s/F_{ü}$ 被观察到取决于 $乙$介子横向动量，具有 $6.0\sigma$。这种依赖性是由13 TeV样本（$8.7\sigma$），但其他碰撞能量的结果单独考虑时并不重要。此外，结果显示$4.8\sigma$ 证据增加 $F_s/F_{ü}$ 作为碰撞能量的函数。