Probabilities for lepton processes

In summary, the conversation discussed comparing the probabilities of three processes: e^+ + e^- \to \nu_\mu + \bar{\nu}_\mu, e^+ + e^- \to \nu_\mu + \bar{\nu}_e, and e^+ + e^- \to \nu_e + \bar{\nu}_e. The speaker expressed their confusion and asked for help. The conversation also suggested considering which reactions are possible and drawing Feynman diagrams for them.
  • #1
LineIntegral
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Homework Statement



Compare the probabilities for the following processes to happen:

1. [itex]e^+ + e^- \to \nu_\mu + \bar{\nu}_\mu[/itex]
2. [itex]e^+ + e^- \to \nu_\mu + \bar{\nu}_e[/itex]
3. [itex]e^+ + e^- \to \nu_e + \bar{\nu}_e[/itex]


Homework Equations



N/A

The Attempt at a Solution



I really have no idea how to solve this. Any help will be appreciated.
 
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  • #2
There are really two parts to this. First, try to see if any of those reactions is impossible (at least one is).

Secondly, for any or all reactions that are possible, you can try to draw the Feynman diagrams for those reactions. Some reactions may have more than one diagram; you need to find all of them (at least, all the diagrams with no loops).
 

Related to Probabilities for lepton processes

1. What are lepton processes?

Lepton processes refer to any interaction or decay involving leptons, which are a type of fundamental particle that includes electrons, muons, and neutrinos. These processes are important in understanding the behavior of subatomic particles and their interactions with each other.

2. How are probabilities calculated for lepton processes?

Probabilities for lepton processes are calculated using quantum mechanics, specifically the Feynman diagrams which represent the interactions between particles. The probabilities are determined by calculating the amplitude of the process and squaring it to get the probability.

3. What factors affect the probabilities for lepton processes?

The probabilities for lepton processes can be affected by various factors, such as the energy of the particles involved, the type of interaction (weak, electromagnetic, or strong), and the properties of the particles, such as their mass and charge.

4. How are lepton processes studied and observed?

Lepton processes are studied and observed using particle accelerators and detectors, which allow scientists to create and observe the interactions between particles at high energies. These experiments provide valuable data for understanding the probabilities and behavior of lepton processes.

5. What are some applications of studying probabilities for lepton processes?

Studying probabilities for lepton processes has various applications in fields such as particle physics, astrophysics, and cosmology. It can help us understand the fundamental nature of matter and the universe, and also has practical applications in fields such as nuclear energy and medical imaging technology.

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