How do scientists determine the energy and spin of gauge bosons?

[TimeRip496]

How does scientist determines the energy of gauge boson or its spin? Is there any formulas involve?

 

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The energy is easy: measure the energy of the decay products in the detector. Calculating the invariant mass also allows to find the mass of the particle.

Spin is a bit more complicated, you have to measure the angular distribution of decay products or (for electron/positron colliders) use the polarization of the incoming particles. Formulas depend on what exactly you want to measure.