Helicity and electron/positron annihilation

In summary, the process ##e^+ e^- \rightarrow Z/\gamma \rightarrow f \bar{f}## is being studied in the context of LEP measurements. In the ultrarelativistic regime, helicity and chirality can be considered the same thing. For a massless spin-1 particle like the photon, the spin component can only be ##\pm 1##. However, for a massive particle like the ##Z## boson, the spin can also be zero. The W, Z, photon, and gluon are all spin-1 bosons, while the Higgs is a spin-0 boson. This information is important in understanding the process and its implications.
  • #1
Aleolomorfo
73
4
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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  • #2

1. What is helicity in relation to electron/positron annihilation?

Helicity refers to the projection of an electron or positron's spin onto its direction of motion. This quantity is important in the study of electron/positron annihilation because it determines the angular distribution of the resulting particles.

2. How does electron/positron annihilation occur?

Electron/positron annihilation occurs when an electron and a positron collide and their masses are converted into energy in the form of gamma rays. This process is governed by the fundamental laws of quantum mechanics.

3. What is the significance of electron/positron annihilation in particle physics?

Electron/positron annihilation is a fundamental process in particle physics that helps us understand the nature of matter and antimatter. It is also used in experiments to produce high-energy gamma rays for various applications, such as medical imaging and cancer treatment.

4. Can electron/positron annihilation produce other particles besides gamma rays?

Yes, electron/positron annihilation can produce a variety of particles depending on the energy of the collision. These particles can include muons, pions, and other types of mesons.

5. How is helicity measured in electron/positron annihilation experiments?

Helicity is measured by analyzing the angular distribution of the particles produced in electron/positron annihilation. By studying the patterns of these particles, scientists can determine the helicity of the initial electron and positron.

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