Great write-up! I have a couple of comments. But only a couple. Please don't take them personally. I really enjoyed what you write! My point is to show where you have room for improvements :)

Particle overlap (confusion between pairs of detected particles) must be detected and result in one of the particle candidate to be dismissed. This is done by analyzing the relationship between the 2 candidates, such as the angular distance measured at detector level.

In fact, we remove the overlap to end up with particle that are isolated from each other. We want clean signatures. Of course, I didn't fully address isolation yet (this is for next week) but I wanted to add you an appetizer ;)

All these misidentifications leads to a component of the background to any signal: fakes. Most of the times these are smallish, but sometimes, they can be dominant;

Particle transverse momentum which is the component of the particle momentum (mass * velocity) in the plane perpendicular to the collision beam.

Here, everything is relativistic. The p = mv relation has to be modified accordingly.

Finally, I think your post would benefit to be divided in different sections, facilitating the reading for anyone not familiar with the topic :)