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How to evaluate a triangular fermion loop

  1. Oct 20, 2014 #1
    Say I have a scalar field which decays into to a fermion - anti fermion pair which then interact in a closed loop to produce two photons. How would I evaluate this? Can I just follow the loop backwards from any of the two photon vertices and just write vertex factor, propogator, vertex factor, propogator, vertex factor, propogator, and then take the trace of that?
     
  2. jcsd
  3. Oct 20, 2014 #2
    Yes. But the evaluation of the integral you get can have tricky subtleties related to the chiral anomaly.
     
  4. Oct 20, 2014 #3
    I end up with this
    Screen%20Shot%202014-10-20%20at%201.18.59%20PM.png
    How in the world do I do this integral?
     
  5. Oct 21, 2014 #4

    Avodyne

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    Science Advisor

    I believe you only used one diagram; you have to add the diagram with the two photons exchanged.

    See any advanced QFT textbook for how to evaluate the integral.
     
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