Help with Higgs Strahlung Production & Formulating a Matrix Element

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Qiahs
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Hello dear everyone

I would like to ask if someone can help me with the following two things:

1) How many different feynman diagrams can one possibly draw for Higgs strahlung production that is of 4th order? The mediator should be Z-particle.

2) Formulate an equation for the amplitude (also known as the matrix element) of just one of those diagrams.

Your help is so much appreciated.
 
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Do you mean a 4th order QCD correction? Or you want the weak corrections and qcd corrections?

Can you write a 1st order correction matrix element?
 
It should only be the weak corrections of 4th order, be cause we are using electron and positron.

I have written one, but not sure if its correct.. What is challenging is the H ray; how to treat that?

Do u know how many different diagrams one can make of 4th order correction in this case? :)
 
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