Calculating Cross Section with 4-Fermi Interaction

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also, would the calculation for the amplitude [tex]|M|^2[/tex] look the same for IVB theory except there would be a [tex]\frac{g^2}{M_W^2 - q^2}[/tex] term in front of the amplitude? I'm not sure how this "changes" anything compared to the 4 fermi result since they are only constants out in front.
 

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