Lab frame and accelerator frame

[Ruihu Zhu]

TL;DR

Can someone explain lab frame ,accelerator frame and boost frame to me?

In the file I present below,it shows a way to calculate luminosity in boost frame when crossing angle exists.I can't understand why luminosity calculation is done in boost frame instead of lab frame where calculations are much easier.I also have difficulty understanding lab frame,accelerator frame and boost frame.Can someone take a glance at the file and help me with it?

 

[Vanadium 50]

They explain why on slide 10.

 

[Ruihu Zhu]

They explain why on slide 10.

In slide 9,it shows accelerator coordinate is (x,y,z,px,py,pz;h,s) where s is azimuthal coordinate.I can't understand azimuthal coordinate s in geometry.Can you explain?Thanks

 

[Vanadium 50]

s is defined on page 7.

 

[Vanadium 50]

You're welcome.