Can anyone recommend references for four particle production calculations?

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Discussion Overview

The discussion revolves around the challenges of calculating the production of four final leptons in particle physics, specifically focusing on kinematics and the choice of variables and frames for simplifying the matrix element description and phase-space integrals. The context includes theoretical calculations at tree level, with a specific process example provided.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant seeks references for tree level calculations of four final leptons, emphasizing the need for a suitable frame and variables for simplification.
  • Another participant suggests using the zero width approximation and decaying the W bosons independently as a potential approach.
  • A later reply clarifies that the zero width approximation refers to the Narrow Width Approximation and provides a reference (arXiv:0807.4112v2) for further reading.
  • The original poster expresses concern that the Narrow Width Approximation may not be applicable to their problem, particularly regarding the interchangeability of the W bosons and the gamma, noting that the gamma cannot be on-shell.

Areas of Agreement / Disagreement

Participants present differing views on the applicability of the Narrow Width Approximation, with some suggesting it as a viable method while others express skepticism about its relevance to the specific calculation being discussed.

Contextual Notes

The discussion highlights limitations regarding the assumptions made in applying the Narrow Width Approximation and the specific conditions under which the calculations are valid, particularly concerning the on-shell status of the gamma particle.

kaksmet
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Hey!

I am doing some tree level calculations of production of four final leptons and have some trouble with the kinematics. Does anybody know any good references where to read up a bit this topic and/or good variables/frames to use in order for the description to be as easy as possible? My problem is to choose a frame/variables where I can find a resonably simple description of the matrix element and also solve the phase-space integrals.

A typical process would be
e+ e- --> gamma --> W+ W- --> e+ e- anti-v v

Thanks a lot!
 
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Why not just use the zero width approximation and do it in pieces? (i.e. decay the W's independently)
 
Vanadium 50 said:
Why not just use the zero width approximation and do it in pieces? (i.e. decay the W's independently)

Maybe.. can you direct me to any place where I can find out more about what that is?
Thanks
 
Vanadium 50 is talking about Narrow Width Approximation. Check for example arXiv:0807.4112v2. If you'll need any help with that just ask.
 
Navir said:
Vanadium 50 is talking about Narrow Width Approximation. Check for example arXiv:0807.4112v2. If you'll need any help with that just ask.

Thank you, will take a closer look at that but a first thought is that it cannot help me with the problem at hand because I want to be able to have a calculation which is valid also if one of the W is interchanged with the gamma.. and the gamma can not be on shell..
 

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