论文标题
在$ r_ {k} $理论错误
On the $ R_{K} $ Theory Error
论文作者
论文摘要
为了量化$ r_k $上的理论误差，本质上意味着量化由于QED校正而引起的不确定性，因为后者突破了Lepton风味通过Lepton Masses。由于实验使用光子淋浴程序，例如\ texttt {photos}捕获QED效果，评估不确定性涉及调查这些工具的特定使用而不是捕获的效果。这包括依赖结构的校正，潜在的大型非同源术语和通过辐射迁移进入较低箱的炭共振。我们能够关闭这些漏洞。例如，使用量规不变性，我们表明与结构相关的Q校正不会导致$ {\ cal O}（\ cal o}（α）\ ln m_ \ ell/m_b $的额外（较大）硬性日志。因此，从理论的角度来看，$ r_k $是可观察的。
To quantify the theory error on $R_K$, essentially means to quantify the uncertainty due to QED corrections since the latter breaks lepton flavour universality through the lepton masses. Since experiment uses photon shower programs, e.g. \texttt{PHOTOS}, to capture QED effects, assessing the uncertainty involves investigating effects not captured by the specific use of these tools. This includes structure-dependent corrections, potentially large non-logarithmic terms and charmonium resonances entering the lower bin by migration of radiation. We are able to close in on these loopholes. For example, using gauge invariance, we show that structure-dependent QED corrections do not lead to additional (sizeable) hard-collinear logs of the form ${\cal O}(α) \ln m_\ell/m_B$. Hence, from the theory point of view $R_K$ is a safe observable.
