# Two-loop regularization

Working out some quantum field theory computations, I have to find out the value of the two-loop Feynman integral $$I(p)=\int\frac{d^4p_1}{(2\pi)^4}\frac{d^4p_2}{(2\pi)^4}\frac{1}{(p_1^2+m_1^2)(p_2+m_2^2)[(p-p_1-p_2)^2+m_3^2]}.$$ This integral is rather common and so, its value at small $p$ should be already well-knwon. But I was not able to find out it in literature. I would also appreaciate to see all the procedure to get the right value with whatever regularization procedure one likes.

Thanks beforehand.

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how do we understand this double integral ?? first integration over $p1$ keepen $p2$ constant and then integration over $p2$ as is made in calculus ? –  Jose Javier Garcia Jul 26 '13 at 20:51

wby couldn't we simply apply an iterated dimensional regularizaton ? first over variable $p_{1}$ and thenover the variable $p_{2}$ like in integral calculus ? –  Jose Javier Garcia Jun 15 at 18:21