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{c}
{title2=$I_{d,n}(m)$}

For $m^2>0$ and $n>d/2$, <Schwinger parameterization> and a <Gaussian integral> give $I_{d,n}(m)=\int d^dk\,(2\pi)^{-d}(k^2+m^2)^{-n}=\Gamma(n-d/2)(m^2)^{d/2-n}/[(4\pi)^{d/2}\Gamma(n)]$. Its meromorphic continuation supplies <dimensional regularization> poles.

Euclidean massive loop integral

Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 46 / 2 / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 304 / 1 / Solution

Euclidean massive loop integral ( $I_{d, n} (m)$ )

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Euclidean massive loop integral (Id,n​(m))

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Euclidean massive loop integral ( $I_{d, n} (m)$ )

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