Contour Integration in Mathematica

Asked Aug 25 '20 at 11:29

Active Aug 25 '20 at 13:13

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I need to solve an integral similar to following for a project:

\begin{equation} F[p^2\_,q^2\_]\equiv\int_0^{\infty}dk\, e^{-k/\lambda}\, \frac{k}{k-b[p^2,q^2]- I\epsilon}\ln(k-b[p^2,q^2]) \end{equation}

Here, $\lambda$ is a real number, while $b$ is a function of $p^2$ and $q^2$ which are invariant masses.

If I run it without the logarithmic function, Mathematica computes it. However, it is not giving any answer for the above integral. How do I solve it in Mathematica? Is there any other software which I can use to do solve it?

asked Aug 25 '20 at 11:29

4

This question is much more suited to the [Mathematica.SE] site. – Philip Aug 25 '20 at 11:31
I agree it is suited to the Mathematica SE, however integrals of this type are a speciality for high energy theorists so they may offer some insight. – user1997744 Aug 25 '20 at 12:26
I’m voting to close this question because this question belongs to MathematicaSE. – Aug 25 '20 at 13:02
Does this answer your question How to calculate contour integrals with Mathematica? – Artes Aug 25 '20 at 13:23

Contour Integration in Mathematica

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