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I'm studying electron-muon scattering

and now considering the Lorentz invariant integration measure.

The textbook introduced it, which use dirac delta function to show that d3p/E is a Lorentz scalar.

I understood it but I wanted to find other way and tried like this:

I need a hint on the underlined equation. The primed one is lorentz transformed one.

How can I show that d(p^2) is Lorentz invariant?

Just calculate it hard ?

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# Lorentz invariant integral measure

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