Helicity and electron/positron annihilation

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SUMMARY

The discussion focuses on the electron-positron annihilation process, specifically ##e^+ e^- \rightarrow Z/\gamma \rightarrow f \bar{f}##, in the context of LEP measurements. It highlights the significance of helicity and chirality in ultrarelativistic regimes, noting that a left-handed electron and a right-handed positron yield zero contribution to the matrix element due to their spins summing to zero. The conversation clarifies that while the photon is a massless spin-1 particle, the Z boson, being massive, also possesses spin-1, contrary to the initial assumption of it having spin-0.

PREREQUISITES
  • Understanding of particle physics concepts, specifically electron-positron annihilation.
  • Familiarity with helicity and chirality in quantum mechanics.
  • Knowledge of the Standard Model of particle physics, including properties of bosons.
  • Basic comprehension of the LEP (Large Electron-Positron Collider) measurements.
NEXT STEPS
  • Study the properties of spin-1 bosons, focusing on the W and Z bosons.
  • Explore the implications of helicity and chirality in particle interactions.
  • Research the role of the photon in electron-positron annihilation processes.
  • Examine the experimental results from LEP and their significance in particle physics.
USEFUL FOR

Particle physicists, students studying quantum mechanics, and researchers interested in the electroweak interaction and its implications in high-energy physics.

Aleolomorfo
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Hello everybody!
I have a question regarding the process ##e^+ e^- \rightarrow Z/\gamma \rightarrow f \bar{f}##, where ##f## is a fermion and ##\bar{f}## is an antifermion. I am studying the process to understand LEP measurements.
Supposing of being in ultrarelativistic regime, so helicity and chirality can be seen as the same thing.
Considering the case of the photon, the collision in the CM between a LH electron (spin aligned with its motion) and a RH positron (spin aligned with its motion) gives zero contribution to the matrix element since the spins sum to zero. The photon is a massless spin-1 particle so its spin component can be only ##\pm 1##.
Reading in books I've found that the same holds for the ##Z##. But the ##Z## is massive, so its spin can be zero, isn't it?
 
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