论文标题
向量leptoquarks超越树级II：$ \ MATHCAL {O}（α_s）$校正和径向模式
Vector Leptoquarks Beyond Tree Level II: $\mathcal{O}(α_s)$ Corrections and Radial Modes
论文作者
论文摘要
我们阐明了以近来领先的订单准确性将低能和高能量可观察物联系起来的开放问题。扩展了有关此主题的先前工作，我们对$ \ Mathcal {O}（α_s）$校正进行了完整的分析，以高尺度上的半雌科运算符的匹配条件。这些校正不可忽略不计，但与$ \ Mathcal {o}（α_4）$校正与与领先的leptoquark耦合成正比的$ \ MATHCAL {O}（α_4）$校正相比，它们不超过10％，预计该纠正量将比现象学兴趣的参数空间区域中的QCD耦合大得多。我们进一步分析了径向模式的影响，包括$ \ Mathcal {O}（α_4）$和$ \ Mathcal {o}（α_s）$精度，突出了它们在理论重新归一化中的作用。
We clarify open issues in relating low- and high-energy observables, at next-to-leading order accuracy, in models with a massive leptoquark embedded in a flavor non-universal $SU(4) \times SU(3) \times SU(2) \times U(1)$ gauge group. Extending previous work on this subject, we present a complete analysis of the $\mathcal{O}(α_s)$ corrections to the matching conditions of semileptonic operators at the high scale. These corrections are not negligible, but they do not exceed the 10% level and are subleading compared to the $\mathcal{O}(α_4)$ corrections proportional to the leading leptoquark coupling, which is expected to be much larger than the QCD coupling in the parameter space region of phenomenological interest. We further analyze the impact of radial modes, both at $\mathcal{O}(α_4)$ and at $\mathcal{O}(α_s)$ accuracy, highlighting their role in the renormalization of the theory.
