We use the framework of asymptotically safe quantum gravity to derive predictions for scalar leptoquark solutions to the \(b\rightarrow s\) and \(b\rightarrow c\) flavor anomalies. The presence of an interactive UV fixed point in the system of gauge and Yukawa couplings imposes a set of boundary conditions at the Planck scale, which allows one to determine low-energy values of the leptoquark Yukawa matrix elements. As a consequence, the allowed leptoquark mass range can be significantly narrowed down. We find that a consistent gravity-driven solution to the \(b\rightarrow s\) anomalies predicts a leptoquark with the mass of 4–7 \(\,\mathrm {TeV}\), entirely within the reach of a future hadron-hadron collider with \(\sqrt{s}=100\,\mathrm {TeV}\). Conversely, in the case of the \(b\rightarrow c\) anomalies the asymptotically safe gravity framework predicts a leptoquark mass at the edge of the current LHC bounds. Complementary signatures appear in flavor observables, namely the (semi)leptonic decays of B and D mesons and kaons.

我们使用渐近安全量子引力的框架来得出对\（b \ rightarrow s \）和\（b \ rightarrow c \）风味异常的标量le夸克解的预测。规范和Yukawa耦合系统中存在一个交互式UV不动点，从而在Planck尺度上施加了一组边界条件，这使人们可以确定le夸克Yukawa矩阵元素的低能值。结果，可以大大缩小允许的p夸克的质量范围。我们发现，对\（b \ rightarrow s \）异常的一致重力驱动解决方案可以预测质量为4-7 \（\，\ mathrm {TeV} \）的le夸克，完全在未来强子的作用范围内-强子对撞机\（\ sqrt {s} = 100 \，\ mathrm {TeV} \）。相反，在\（b \ rightarrow c \）异常的情况下，渐近安全的重力框架预测了当前LHC边界边缘的le夸克质量。互补特征出现在可观察到的风味中，即B和D介子和kons的（半）轻子衰变。