Calculating Cross Section with 4-Fermi Interaction

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The discussion centers on calculating the cross section for the interaction \nu _{\mu} + e^- \rightarrow \mu ^- + \nu_e using the four-Fermi interaction. Participants suggest that this calculation is similar to the process e^+ e^- \rightarrow \mu^- \mu^+ and recommend starting with simpler cross section calculations for practice. Various textbooks are mentioned as resources, including works by Halzen and Martin, Georgi, and Srednicki, with some available for free online. The conversation also highlights the differences between the four-Fermi interaction and intermediate vector boson theory, noting that while calculations may yield similar results at low energies, the underlying physics differs significantly. The importance of understanding particle states and spinors in calculations is emphasized for accuracy.
  • #31
also, would the calculation for the amplitude |M|^2 look the same for IVB theory except there would be a \frac{g^2}{M_W^2 - q^2} 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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