Constructing Feynman diagrams and understanding conservation rules.

  • Context: Graduate 
  • Thread starter Thread starter wam_mi
  • Start date Start date
  • Tags Tags
    Reactions
Click For Summary

Discussion Overview

The discussion revolves around the construction of Feynman diagrams and the associated conservation rules within the context of particle interactions in the Standard Model. Participants explore specific reactions involving leptons and gauge bosons, seeking clarity on their validity and representation in Feynman diagrams.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant asks whether two specific reactions are allowed under the Standard Model and requests guidance on representing them with Feynman diagrams.
  • Another participant asserts that both reactions are not allowed, citing the need for knowledge of lepton family number conservation and the coupling of weak neutral currents to specific lepton-antilepton pairs.
  • It is noted that within the Standard Model, lepton number conservation applies to each family, including electron-like and neutrino-like particles.
  • A later reply claims that the first reaction is not allowed due to the violation of muon lepton number conservation, while the second reaction is allowed, describing the process involving virtual W+ bosons and mentioning a low cross-section.

Areas of Agreement / Disagreement

Participants express disagreement regarding the validity of the two reactions, with some asserting that the first is not allowed and the second is, while others maintain that both are not permissible under the conservation rules discussed.

Contextual Notes

Participants reference specific conservation laws, such as lepton family number conservation, but do not fully elaborate on the implications or conditions of these laws in relation to the reactions discussed.

wam_mi
Messages
78
Reaction score
1
Hi guys,

Standard Model


Is this reaction allowed or not? If yes, how do we represent this on Feynman diagram?

(electron) + (photon) ------> (muon negative) + (electron) + positron


What about this reaction?

(muon neutrino) + (electron antinetrino) -----> (muon negative) + (positron)


What are the rules for the construction of Feynman diagrams?
What conservation rules do I need to know?
It would be good if anyone can explain this through Feynman diagrams with a few words. Thanks a lot!
 
Physics news on Phys.org
is this homework / course work?

Both are not allowed. You need to know about lepton familily number conservation and that weak neutral current (Z boson) couple to same lepton-antilepton pairs (for instance eletron + positron, electron neutrino + anti electron neutrino)
 
Within the standard model, the lepton number of each family (electron-like + neutrino-like) is conserved.
 
#1 is not allowed to the first order because muon lepton number is not conserved.

#2 is allowed, muon neutrino emits virtual W+ and turns into muon, electron antineutrino eats virtual W+ and becomes a positron. Cross-section is very low.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 0 ·
Replies
0
Views
3K
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 26 ·
Replies
26
Views
4K