The study of exotic gauge bosons beyond the Standard Model have always been of great interest. Future muon colliders will have a significant advantage in discovering exotic particles. We study the properties of $Z^\prime$ boson with the process of $\mu^+ \mu^- \rightarrow q \bar{q}$, $\mu^+ \mu^- \rightarrow l^+ l^-$, $\mu^+ \mu^- \rightarrow Z H$ and $\mu^+ \mu^- \rightarrow W^+ W^-$. ...
Here we discuss the 3pt celestial amplitude of two massive scalars and one massless scalar. In the massless limit $m\to 0$ for one of the massive scalars, the gamma function $\Gamma(1-\Delta)$ appears. By requiring the resulting amplitude to be well-defined, that is it goes to the 3pt amplitude of arXiv:2312.08597, the scaling dimension of this massive scalar has to be conformally soft...
