Does Z Boson Decay Respect Parity and Charge Conjugation?

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SUMMARY

The discussion centers on the decay of the Z boson into a fermion-antifermion pair and its compliance with parity (P) and charge conjugation (C) symmetries. Participants emphasize the importance of analyzing the transformation properties of both initial and final states to determine symmetry violations. A specific concern is raised regarding a term in the polarized amplitude that is proportional to the cosine of the angle between the Z boson's axis and the fermion's momentum, which suggests a lack of parity invariance. The discussion also seeks clarity on how charge conjugation is affected when particles are exchanged with their antiparticles.

PREREQUISITES
  • Understanding of Z boson decay processes
  • Familiarity with parity and charge conjugation symmetries
  • Knowledge of polarized amplitude calculations
  • Basic concepts of fermion-antifermion pair interactions
NEXT STEPS
  • Study the transformation properties of particle states under parity and charge conjugation
  • Learn about the implications of polarized amplitudes in particle physics
  • Investigate the role of angular momentum in Z boson decays
  • Explore examples of symmetry violations in particle interactions
USEFUL FOR

Particle physicists, researchers in theoretical physics, and students studying quantum field theory will benefit from this discussion.

andrex904
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Considering a Z boson decay into a fermion-antifermion pair. How can i say if the process respect parity and charge conjugation?Thanks
 
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As usual, check the transformation properties of the initial and the final states.
 
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Orodruin said:
As usual, check the transformation properties of the initial and the final states.
Could yuo be more specific? Because i compute the polarized amplitude and there is a term proportional to cosine (that is clearly not parity invariant), but i don't know how to show that it's not C invariant.
 
What changes if you exchange every particle for its antiparticle in a fermion/antifermion pair, what changes for the Z?

Cosine of what, by the way?
 
mfb said:
What changes if you exchange every particle for its antiparticle in a fermion/antifermion pair, what changes for the Z?

Cosine of what, by the way?

Cosine of the angle between z axis and the 3momentum of fermion in the rest frame of Z.
 

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