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But I can use a bit of help.

I'm given data from a collision resulting in 2 muons.

(this is exactly how the text is written to me, if any of these definitions are not exactly correct please note)

For a muon, we measure

"pt", Transverse momentum = sqrt (px^2 + py^2)

"phi", angle in the x-y plane

"eta", pseudorapidity, which is another form of the angle from the z-axis

"mass", the mass of the muon

I need to find the Lorentz vector.

For the energy I figured out

E = sqrt ( mass^2 + momentum^2) where momentum should be the magnitude of the 3vector momentum.

What I'm having trouble with is finding Pz, momentum in the z axis.

Maybe I'm not quite understanding the definition of pseudorapidity?

I'd find Px and Py by

Px=Pt cos(phi) and Py = Pt sin(phi)

But how do I find the z component of momentum?

psuedorapidity only gives me an angle for the z component correct? and am I correct that Ptransverse doesnt contain any z component?