Calculating Cross Section with 4-Fermi Interaction

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SUMMARY

The discussion focuses on calculating the cross section for the interaction \(\nu_{\mu} + e^- \rightarrow \mu^- + \nu_e\) using the four-Fermi interaction. Participants recommend starting with simpler calculations, such as \(e^+ e^- \rightarrow \mu^- \mu^+\), to build foundational skills. Key references include textbooks by Halzen and Martin, and Georgi, with specific sections highlighted for relevant calculations. The four-Fermi interaction is distinguished from intermediate vector boson (IVB) theory, particularly in terms of energy dependence and underlying physics.

PREREQUISITES
  • Understanding of four-Fermi interactions in particle physics
  • Familiarity with cross section calculations
  • Knowledge of Feynman diagrams and Lagrangian formulations
  • Basic concepts of quantum field theory (QFT)
NEXT STEPS
  • Study the calculation of cross sections in Halzen and Martin's textbook
  • Review Georgi's textbook for insights on four-Fermi interactions
  • Learn about the differences between four-Fermi and IVB theories
  • Explore trace techniques used in cross section calculations
USEFUL FOR

This discussion is beneficial for high energy physics students, researchers in particle physics, and anyone interested in mastering cross section calculations and the four-Fermi interaction.

  • #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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