Evaluating a zeta function regularized integral

[romeo6]

Hey folks, can anyone give me some pointers with the following:

$$-\frac{1}{2}\sum_{m,n}\frac{\partial}{\partial s}|_{s=0}\int\frac{d^4k}{(2\pi)^4}(k^2+M^2_{m,n})^{-s}$$

$$=-\frac{1}{32\pi^2}\frac{\partial}{\partial s}|_{s=-2}\frac{1}{s(s+1)}\sum_{m,n}(M_{m,n}^2)^{-s}$$

Any hints here would be great, my Schaums isn't coming in too useful here.

Thanks!

 

[Kreizhn]

What is it that you're trying to show? Equality? At the moment this doesn't mean anything - you need to properly define the problem. Until then it's impossible to help you.

 

[romeo6]

Well, I'm trying to understand how the k integral was done.

If its any help its from equation 1 of http://arxiv.org/abs/hep-ph/0301168