Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

3-Point 1-Loop Integral with 1 Mass

  1. Jan 16, 2015 #1

    Hepth

    User Avatar
    Gold Member

    I'm trying to get an analytic result, but can't seem to get it. Does anyone know of a lookup table or another way to get it? The Integral I need is of the form:

    ##\int d^{d}l \frac{1}{l^2 (l+q-p)^2 ((l-p)^2-m^2)}##

    It should be convergent in 4 dimensions I believe, but without some regulators for the masses, which I DONT want, it might be best to work in "d" and absorb any divergences there.

    This is equivalent to a passarino-veltman C0. I find results for other cases, but not this one. If I do it myself I can't find a favorable way to regulated the divergences that appear.
     
  2. jcsd
  3. Jan 16, 2015 #2
    Have you tried qcd loop repository?

    There is a nice interface to find all the integrals you might need. These are d dimensions for the divergent ones.
     
  4. Jan 24, 2015 #3
    Did you find what you needed? If not, pm me and I can send you the analytic formula in a mathematica nb or something.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: 3-Point 1-Loop Integral with 1 Mass
Loading...