论文标题
对软光子对$ b \ rightarrow k \ ell^+ \ ell^ - $的影响
On the Impact of Soft Photons on $B\rightarrow K \ell^+ \ell^-$
论文作者
论文摘要
我们将$ \ MATHCAL {O}(α)$ QED校正(实际发射和虚拟校正)的详细结果分配给$ b \ to K \ Ell^+\ ell^ - $模式。要求实际发射为量规不变,触摸项的结构是固定的。该计算是用虚拟的光子质量作为IR调节剂完成的,结果证明与其无关,从而确定了软差异的取消。提出了用于选择光子能量,$ k_ {max} $和光子角$θ_{cut} $的结果。 QED效应是负面的,因此与没有QED效应的情况相比降低了速率。电子通道显示可以接收大型更正($ \ MATHCAL {O}(20 \%)$)。还讨论了对Lepton风味普遍性的影响,也讨论了$ r^{μe} _K $。
We give detailed results of $\mathcal{O}(α)$ QED corrections (both real emission and virtual corrections) to $B\to K\ell^+\ell^-$ modes. Requiring the real emission to be gauge invariant, the structure of the contact term(s) is fixed. The calculation is done with a fictitious photon mass as the IR regulator and results are shown to be independent of it, establishing cancellation of the soft divergences. Results are presented for a choice of photon energy, $k_{max}$, and photon angle $θ_{cut}$. The QED effects are negative, thereby reducing the rate compared to that without QED effects. Electron channels are shown to receive large corrections ($\mathcal{O}(20\%)$). Impact on lepton flavour universality ratio, $R^{μe}_K$ are also discussed.