Undergrad Lab frame and accelerator frame

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The discussion centers on the calculation of luminosity in different reference frames, specifically the boost frame versus the lab frame, raising questions about the rationale behind using the boost frame despite its complexity. The user expresses confusion regarding the definitions and differences between the lab frame, accelerator frame, and boost frame, seeking clarification. Additionally, there is a request for an explanation of the azimuthal coordinate 's' as presented in the context of the accelerator coordinate system. The file referenced contains explanations, particularly on slide 10, which may provide further insights. Understanding these concepts is crucial for accurate calculations in particle physics.
Ruihu Zhu
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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?
 

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They explain why on slide 10.
 
Vanadium 50 said:
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
 
s is defined on page 7.
 
You're welcome.
 

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