Calc Ampl & Cross Sec: Electron + Positron to Photon + Z Boson

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SUMMARY

The discussion focuses on calculating the amplitude and cross section for the annihilation process of an electron and positron resulting in a photon and a Z boson. The key challenge highlighted is managing the polarization states of the Z boson, which has three degrees of freedom. Additionally, the discussion emphasizes the importance of applying the Lorentz gauge condition to the Z field in this context. Participants seek guidance on these specific technical aspects to ensure accurate calculations.

PREREQUISITES
  • Quantum Field Theory (QFT) fundamentals
  • Understanding of particle interactions and Feynman diagrams
  • Familiarity with the Standard Model of particle physics
  • Knowledge of gauge theories and Lorentz invariance
NEXT STEPS
  • Study the calculation of amplitudes in Quantum Electrodynamics (QED)
  • Research the properties and interactions of the Z boson in the Standard Model
  • Learn about the Lorentz gauge condition and its applications in gauge theories
  • Examine techniques for handling polarization states in particle physics calculations
USEFUL FOR

Particle physicists, theoretical physicists, and researchers involved in high-energy physics who are interested in particle interactions and the implications of gauge theories.

DuckAmuck
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TL;DR
Process of electron and positron annihilation to photon and Z boson
Looking to calculate the amplitude and cross section of the process: electron + positron to photon + Z boson.

Basically the annihilation resulting in Z + gamma rather than gamma +gamma.

My question is mainly about how to deal with the polarization states with the Z boson, since there are 3 and how to handle to the Lorentz gauge wrt to the Z field. Any help will be appreciated.
 

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