QFT Cutting Rules: Improved Versions & Worked Examples

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    Cutting Qft Rules
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Discussion Overview

The discussion revolves around the application of Cutkosky cutting rules in quantum field theory (QFT), specifically focusing on improved versions and worked examples for extracting the absorptive or imaginary parts of one- or two-loop diagrams. Participants seek references and resources that provide clarity and practical examples beyond the limitations of existing texts like Peskin and Schroeder.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests recommendations for references that include worked examples of Cutkosky cutting rules in QFT, expressing dissatisfaction with the depth of coverage in Peskin and Schroeder.
  • Another participant suggests Itzykson and Zuber as a potential resource where the cutting rules are explained.
  • A different participant mentions a specific paper from arXiv (hep-ph/9709423) that might be useful, although they have not reviewed it yet.
  • Some participants discuss the relevance of reviving an old thread, with one arguing that it can still be beneficial for future readers searching for information on Cutkosky rules.
  • One participant shares that they found the paper mentioned by another user to be very informative, supporting the idea that contributions to older threads can still hold value.

Areas of Agreement / Disagreement

There is no clear consensus on the best resources for learning about improved cutting rules, and participants express differing views on the appropriateness of responding to older threads. The discussion remains open-ended with multiple suggestions but no definitive agreement on a single best reference.

Contextual Notes

Some limitations include the potential lack of depth in the suggested references and the varying levels of familiarity with the topic among participants. The discussion does not resolve which references are most effective for understanding the cutting rules.

mjsd
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I am wondering whether someone can suggest a good ref or two (preferrably with worked example) on how to use Cutkosky (or whatever it is called) cutting rules in QFT to help pick out the absorptive/Imaginary part of a 1- or 2-loops diagrams. I have already tried Peskin and Schroeder, which is good only up to a certain level.

are there actually improved version of these cutting rules these days?

thanks in advance
 
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hi, maybe you can find somethig useful at Itzykson Zuber where the rule is explained...
You can also find some papres at hep-th and there are other refs at a previous post.
 
Hi,
Perhaps you can try arXiv:hep-ph/9709423. I haven't looked at it yet but it looks useful. The example given is gg→gH.
 
This thread is over 6 years old. I doubt the OP is still looking for help.
 
yeah. that's what i first thought, but i decided to reply anyway, for completeness. people googling cutkosky rules might find it of epsilon use.
 
I'll just add, I found the paper mentioned by peaelle42 to be very useful and informative. I don't think there should be anything wrong with reviving an old thread if one has something useful to add, and this was such a case (StackOverflow even gives a badge for answering old questions that are probably long-forgotten by the OP--it can still be useful to future readers).

(In the case of my comment here, incidentally also my first post on this form, I *do* apologize for yet again bumping an old thread.)
 

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