- #1

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The trace form is

$$Tr[(\displaystyle{\not} P +M_{0})\gamma^{\mu}(\displaystyle{\not} P^{'} +M^{'}_{0})(\displaystyle{\not} p^{'}_{1} +m^{'}_{1})\gamma^{\nu}(\displaystyle{\not} p_{1} +m_{1})]$$

I have no idea how can I simplify this form by using Casimir's trick.

Can somebody help me solve this problem?

Many thanks!